Chapter 6.14 Counting: Numerals and numeral classifiers

Malcolm Ross

1. Introduction and background1⇫

The reconstruction of POc numeral terms other than ‘one’ is relatively straightforward, as POc inherited a reconstructable PMP decimal system with single-word terms up to 100. Two related matters contribute to the length of this chapter, however. One is the evident existence of numeral classifiers in POc, intimately involved in the reconstruction of numerals. The other is a search for the reasons why POc numerals and classifiers constituted such an extensive system.

The history of numeral terms since the break-up of POc, especially in Western Oceanic and SOc languages, has been complex, resulting in the loss of some (and in a few languages, all) POc numerals. This history is sketched in Chapter 15.

Recently, traditional numeral systems in many Oceanic languages have been modified or have disappeared because of their speakers’ contact with a European language. The numeral system, writes Comrie (2005), is more endangered than the language itself. The data presented here were collected either before this modernisation or from older members of the speech community who still remembered them.

Section 14.1.1 introduces numeral classifiers, as they play a role in the reconstruction of numerals. Section 14.1.2 discusses the uses of numerals in early Oceanic communities. The remaining sections are devoted to reconstruction: §14.2 to verbs of counting, §14.3 and §14.4 and their subsections to cardinal numerals, §14.5 to non-cardinal numerals, and §14.6 to classifiers.

Both numeral and classifier terms were inherited by POc. Classifiers have been lost or fossilised in many Oceanic languages, but are very much alive in others.

1.1. Numeral classifiers and their semantic classes⇫

Grammarians divide English common nouns into two categories. One consists of nouns like banana, chair or mouse, which can form a plural and be counted: three bananas, two chairs, six mice. These are ‘count’ nouns. The other category contains ‘mass’ nouns, like hay, firewood or water, so called because they denote an undifferentiated mass of something. On its own a mass noun cannot be counted. Phrases like two hays, three firewoods or six waters are odd,2 and such nouns are counted using another noun that measures relevant quantities: two bundles of hay, three loads of firewood, six glasses of water. A count noun can also be counted in this way, e.g., two hands of bananas, but bananas retains its plural form in this construction.

Nouns like bundle, load, glass or hand in this construction are conventionally labelled ‘mensural classifiers’, as each denotes a certain measure of the thing(s) denoted by the noun that follows of.

Oceanic languages treat common nouns differently. Generally, no common noun has a distinct plural form, and in certain Oceanic languages, the structure used to say things like two bundles of hay and three loads of firewood is used to count all nouns. Thus for three dogs one says something corresponding to ‘three animals of dog’, and for three men ‘three humans of man’. This introduces a new complication, as ‘animals’ and ‘humans’ are not mensural, but sortal: they categorise into ‘sorts’ (Lyons 1977:463). Indeed, Oceanic classifiers fall into a number of semantic classes, indicated by the bolded words in what follows and exemplified mostly from Woleaian (Mic).

The Woleaian classifier construction is shown in (1) with sortal classifiers. The English classifiers above are nouns, but the Woleaian classifiers are bound forms to which the numeral is prefixed. Oceanic sortal classifiers reflect semantic classes that occur worldwide in languages with numeral classifiers (see Aikhenvald 2000:98; Senft 1995:9).

    1. Woleaian (Mic): (Sohn 1975:59, 206, 62)
      ‘2 people’ (lit. ‘2 animates of person’)
      ʐʉwe-mar yaʐemar
      2-CLF:animate person
    2. Woleaian (Mic): (Sohn 1975:59, 206, 62)
      ‘four canoes’ (lit. ‘4 long objects of canoe’)
      fā-faʂ wa
      4-CLF:long.object canoe
    3. Woleaian (Mic): (Sohn 1975:59, 206, 62)
      ‘two stones’ (lit. ‘2 round objects of stone’)
      ʐʉwe-faʉ faʉ
      2-CLF:round.object stone

Sometimes a sortal classifier has the same form as the noun it classifies, as in (1c), as classifiers are often derived from nouns. Pe (1965) called such classifiers ‘repeaters’, and Benton (1968) introduced the term into Oceanic studies in his study of Chuukese classifiers. Often the ‘repeater’ denotes a larger category than the classified noun. Here the classifier -faʉ denotes a round object, whereas the noun faʉ denotes one or more stones.

Sortal classifiers can also be used like pronouns: in a conversation in which (1b) has appeared, further reference to the four canoes can be made with fā-faʂ, where English uses they or perhaps the four.

Bril (2014:181) provides a nice Nêlêmwa (NCal) example of meaning contrast between two sortal classifiers used with the same noun. In (2a) a living ʃãlaga ‘crab’ is classified as ā- ‘animate’, but in (2b) as pʷa- ‘default inanimate’, the dead crab sold at market.

    1. Nêlêmwa (NCal): (Bril 2014:181)
      ‘one crab’ (living)
      ā-ɣīk ʃãlaga
      CLF:animate-one crab
    2. Nêlêmwa (NCal): (Bril 2014:181)
      ‘one crab’ (dead, sold at market)
      pʷa-ɣīk ʃãlaga
      CLF:default.inanimate-one crab

Note that the numeral is suffixed to the classifier in Nêlêmwa, whereas in Woleaian it is prefixed.

Every Oceanic language that has numeral classifiers has a default sortal classifier that is used with inanimate nouns that do not belong to an obvious classifier category or to save the speaker selecting a classifier. In Woleaian this is -uw:

    • Woleaian (Mic): (Sohn 1975:61)
      ‘one cup’
      se-uw texax
      one-CLF cup

The classifiers in (4) are mensural.

    1. Woleaian (Mic): (Sohn 1975:202)
      ‘8 mouthfuls of water’
      wari-gumʷ ʂar
      8-CLF:mouthful water.
    2. Woleaian (Mic): (Sohn 1975:60)
      ‘one bundle of sennit’
      se-ʂimʷ xaroxar
      1-CLF:bundle sennit.

A numeral + mensural.classifier combination can also be used without a following noun. Thus wari-gumʷ means ‘8 mouthfuls (of liquid)’, since -gumʷ always quantifies liquid.

A multiplicative classifier itself specifies a numerical quantity. English equivalents are pair, dozen and score.

    • Woleaian (Mic): (Sohn 1975:202)
      ‘ten books’ (lit. ‘one ten of book’)
      se-ix fʷuk
      one-CLF:10 book

A multiplicative classifier’s sole function is to be multiplied by the preceding numeral. Thus Woleaian se-ix is 1 × 10; ʐʉe-ix is 2 × 10 (= 20); seri-ix is 3 × 10 (= 30); and so on.

Many Oceanic languages have a classifier type that is both mensural and multiplicative. Hence in (6) -yaf specifies both that classified objects are round and that the bundle contains ten of them (Sohn & Tawerilmang, 1976:170). This is called an enumerative classifier here.

    • Woleaian (Mic): (Sohn 1975:170)
      ‘a bundle of 10 (round) coconuts’
      se-yaf rʉ
      one-CLF:bundle.10.round coconut

Modern Woleaian does not preserve many enumerative classifiers (Sohn 1976:284–285). Languages with more include closely related Chuukese (Benton 1968; Goodenough & Sugita 1980):

Woleaian also has unit-of-time classifiers, which form adverbial phrases, as in:

    • Woleaian (Mic): (Sohn 1975:61)
      ‘one day’
      se-ʐan ʐan
      one-CLF:day day

Finally, Woleaian has unit-of-measurement classifiers, discussed in §16.1.1.

If an Oceanic language uses numeral classifiers, it will have at least mensural classifiers. Enumerative classifiers are also widespread, sortal classifiers somewhat less so, facts discussed in §14.1.2.4. The number of multiplicative classifiers is constrained by the fact that semantically they are a component of the numeral system. Unit-of-time and unit-of-measurement classifiers are rarer because their meanings are more constrained.

Scattered Oceanic languages in Micronesia, the Admiralties and New Caledonia also have a frequentative classifier which forms an adverbial phrase with the same function as reflexes of the POc frequentative prefix *pa[ka]- (§14.5.2).

    • Ponapean (Mic): (Rehg 1981:128)
      ‘three times’
      pān sili-pak
      time 3-CLF:TIME

The structure of POc phrases using numeral classifiers is taken up in §14.3, their forms in §14.6.

1.2. The decimal system, classifiers and cultural context⇫

The reconstructable forms of the POc decimal system are shown in Table 14.1, with crossreferences to the sections that justify the reconstruction. Under A, 2 to 6 are simple (single-morpheme) numerals. Under B and C are the complex numerals for 10s and 100s. No power above a hundred, however, is reconstructable with certainty to POc (§14.4.6).

Table 14.1 Reconstructable POc lexical numerals
A
1 *sa-, *ta-sa, *tai, *ta-kai, *sa-kai §14.4.1 and subsections
2 *rua §14.4.2.1
3 *tolu §14.4.2.2
4 *pat[i] §14.4.2.3
5 *lima §14.4.2.4
6 *onom §14.4.3.1
7 *pitu §14.4.3.2
8 *walu §14.4.3.3
9 *siwa §14.4.3.4
B
10 *sa=[ŋa] puluq §14.4.5.1 and subsections
20 *rua ŋa puluq §14.4.5.1 and subsections
30 *tolu ŋa puluq §14.4.5.1 and subsections
40 *pati ŋa puluq §14.4.5.1 and subsections
50 *lima ŋa puluq §14.4.5.1 and subsections
60 *ono(m) ŋa puluq §14.4.5.1 and subsections
70 *pitu ŋa puluq §14.4.5.1 and subsections
80 *walu ŋa puluq §14.4.5.1 and subsections
90 *siwa ŋa puluq §14.4.5.1 and subsections
C
100 *sa=[ŋa] Ratus §14.4.5.1
200 *rua ŋa Ratus §14.4.5.1 and subsections
300 *tolu ŋa Ratus §14.4.5.1 and subsections
400 *pati ŋa Ratus §14.4.5.1 and subsections
500 *lima ŋa Ratus §14.4.5.1 and subsections
600 *ono(m) ŋa Ratus §14.4.5.1 and subsections
700 *pitu ŋa Ratus §14.4.5.1 and subsections
800 *walu ŋa Ratus §14.4.5.1 and subsections
900 *siwa ŋa Ratus §14.4.5.1 and subsections

The decimal systems of some Micronesian and Polynesian languages famously have multiplicative classifiers for very high powers of ten (Harrison & Jackson 1984; Bender & Beller 2006a). Kiribati te-ea, Ponapean rar, Woleaian se-piy, Rennellese nimo and Nukuoro se-lō all mean ‘a million’. The first morpheme of the Kiribati, Woleaian and Nukuoro terms is ‘one’, the second morpheme a multiplicative classifier (§14.1.1). Like several other Micronesian languages, Woleaian uses classifiers to count up to 100,000,000 (Harrison & Jackson 1984).

    • Woleaian (Mic)
      ‘a hundred million books’ (lit. ‘one hundred.million of book’)
      sa-ŋeʐai fʷuk
      one-CLF:100,000,000 book

This raises a few questions. Were POc speakers able to count using powers of ten higher than a hundred, or did this ability develop later? And did they use multiplicative classifiers for this purpose? The answer to both questions is almost certainly, ‘Yes,’ causing one to ask in what circumstances these were used.

When a numeral system is eroded by contact, the highest simple numerals are usually replaced first. Outside Micronesia and Polynesia, we still find lexical items for 1,000 and higher powers of 10 in scattered languages whose number systems were recorded before their invasion by a Pacific pidgin or a colonial language. In Lou and Nyindrou (both Adm) the highest simple numeral is 10,000. Motu (PT) counts daha ‘1000’, ɣerebu ‘10,000’, domaɣa ‘100,000’. New Ireland and NW Solomonic languages typically have a term for ‘1000’, Roviana (MM) also for ‘10,000’. Bugotu (SES) boasts toɣa ‘1,000’, mola ‘10,000’, feferi ‘100,000’, vuðera ‘1,000,000’ and vaðeɣila ‘10,000,000’. Mellow (2014) and Healey (2013) respectively record Owa (SES) and Maskelynes (NCV) numerals up to a million. The presence of these numerals suggests rather strongly that early Oceanic speakers did count as far as perhaps ten million. Yet where simple numerals for powers of ten above 100 can be reconstructed, the reconstructions are almost all limited to a local group of languages (Eastern Admiralty, south New Ireland, Buka/N Bougainville, Choiseul, New Georgia, Santa Isabel, Northern Vanuatu).

The evidence is thus contradictory. POc forms for powers above 100 cannot be reconstructed, but the likelihood that such numerals were used seems considerable. How is this contradiction to be resolved? If, as suggested below, knowledge of these numerals was restricted to high-status older men and their use was limited to certain special occasions (§14.1.2.1), then there was a real possibility that they were forgotten across the generations and later recreated (§14.4.6). This would account for the seeming contradiction.

1.2.1. Ceremonial exchange and wealth redistribution⇫

What then were these numerals used for? Apparently to count up the quantities of various gifts, mainly of food, at customary feasts. On ethnographic evidence feasts took two main forms: (i) wealth distribution for the purpose of maintaining or gaining status and (ii) ceremonial exchanges of various kinds. In wealth distributions the feast-giver might be a hereditary chief or, in communities without chieftainship, someone intent on becoming a ‘big man’. These exchanges have atrophied in many Oceanic societies since European contact, but not before they had been described by various linguists and ethnographers. Crowley (2006a:61) mentions the function of Avava (NCV) numerals.

Higher numerals were traditionally used for counting yams associated with the highly elaborate grade-taking ceremonies for which Malakula is well known in the ethnographic literature, and all of the neighbouring languages appear to have had similarly elaborate counting systems. Preparations for these ceremonies often took years, and it was necessary to keep track of who had provided large numbers of yams over this period.

Hogbin (1964a:65-66) describes how a Longgu (SES) man holds a status-gaining feast.

By about three o’clock all the food stood in front of Atana’s house. He and his immediate kinsmen had contributed the 250 pounds of dried fish, the 3000 yam cakes, 11 bowls of yam pudding, and 8 pigs. Soon the Longgu villagers, together with some of the residents of the surrounding settlements, began drifting into the hamlet. Nearly everybody brought along some dried fish and a few yam cakes, and several of the leaders sent a pig and a bowl of pudding as well. On the final count the various heaps contained 300 pounds of fish, nearly 5000 yam cakes, 19 bowls of pudding, and 13 pigs.

A parallel situation from northern Malaita is described by Hogbin (1939).

In northern Vanuatu, a man climbed the scale of ranks in a similar way. François (2013:235) writes:

The way for a man to climb the political scale of *suᵐbʷe involved the public display of considerable wealth. This would take the form, typically, of a number of pigs …. Besides, the candidate had to bring offerings of kava, along with massive quantities of shellmoney …. This shellmoney consisted of small cone shells (Conus sp.) that had been patiently filed into circular discs, then pierced and threaded onto a very long string of beads … The quantity of such money required for some higher ranks could measure up to 10 fathoms in length, and involved considerable work on part of the candidate’s female relatives.

An oft-quoted account of chiefly wealth distribution comes from Elbert’s grammar of the Polynesian language Rennellese (Elbert 1988:186):

Much of a chief’s life before 1938 (aside from fighting) consisted of fishing and raising fine gardens, and presenting the fruit of the land and of the sea, carefully counted, first to the gods with impressive rituals, and then to relatives and allies. A chief’s prestige was gauged by the size of the offerings he was able to amass; this was an indication of the resources he commanded, his industry, and his personality. The emphasis on carefully counted quantity extended to competitive giving. In [a later section] is a text of a discussion of such a competition in 1937 or 1938, in which 10,000 coconuts and 7,600 banana bunches were collected, offered to the gods, and distributed.

People with counting skills were required at such ceremonies in Polynesia, whether in Rennell, in Hawai’i or in Tonga (Bender & Beller 2007b:228). Counting similarly occurred at Tolai feasts in New Britain, and Paraide (2008) alludes to today’s near-disappearance of traditional counting.

Carrier (1981:471–474) describes ceremonial exchange on Ponam Island (Admiralties). Every important social event included exchange, usually between in-laws. A man made a gift to an in-law, who later presented a return gift. Descendants of siblings of the donor’s ancestors also contributed (and later the return gift would be distributed among them). The closer the relationship to the donor, the larger the contribution. At an appointed time the gifts amassed by each group of relatives were brought to the donor’s house and laid out on the ground in a formal display that represented the closeness of each group’s relationship to the donor. The donor or his representative then counted the gifts, announcing what was in each pile and in whose name it was given, then the goods were carried to the recipient’s house and placed in a single pile. Formal speeches ensued, then the recipient arranged the gifts to reflect the groups of relatives to whom he would distribute the gifts. He then also counted the gifts, and the ceremony ended.

The ethnographic literature refers to the counting of feast gifts in other Oceanic communities. Panoff (1970:364), writing about the Mengen (NNG) of New Britain, mentions the counting of taro tubers ceremonially brought from the gardens for a feast and of fish formally cooked in earth ovens on festive occasions. Garde (2015:126) alludes to the counting of food items at feasts in Sa-speaking communities in Pentecost (NCV). Bender and Beller (2007a), summarising research into numeral use in Polynesian societies, comment that “A concern with collecting and redistributing resources was particularly strong in islands with powerful chiefs or kings, such as Tonga or Tahiti…”. Alkire (1970) describes the counting of coconuts associated with a funerary exchange on Woleai Atoll.3

The distribution of these customs across Oceanic subgroups suggests that they date back to the Lapita culture and that POc speakers counted gifts (mostly food), an effect of which was to maintain the inherited decimal counting system up to high powers of ten.

Did the ability to count huge food gifts facilitate counting and calculation in other areas? The answers here are mixed. Only Carrier (1981) examines this in any detail, and she finds that skills in mental arithmetic, associated, for example, with card games, are well developed among Ponam speakers. She notes that “Elderly unschooled people keep score mentally as accurately as young people do with pencil and paper” (1981:469). Smith (1986), on the other hand, provides an overview of counting practices in Papua New Guinea and concludes that the POc decimal counting system was not a necessary part of gift-giving and exchange. In societies that were most influenced by their Papuan speaking neighbours, number systems atrophied. The Adzera of the upper Markham Valley of mainland New Guinea (NNG) maintained traditional feasting practices, but formal presentations of gift objects and the comparison of one quantity with another were evidently what continued to matter. Smith writes, “Bunches of bananas in Adzera, for example, were not counted prior to distribution, but mounted on a structure reaching the top of a coconut tree.” His case is supported by the fact that the Adzera numeral system consists only of the numerals 1 and 2. Similarly, Duau (PT) speakers, with a base-5-20 system, reckon the amount to be repaid by pile size rather than by counting (Thune 1978:74).

1.2.2. Trade⇫

It is sometimes assumed that trade must have fostered the use of a decimal numeral system, but the evidence for this is ambiguous. Smith (1986) points out that traditional trade among Oceanic speakers was an extension of ceremonial exchange. He writes,

…ever since Malinowski’s pioneering work on the kula expeditions of Milne Bay it has been recognised that trade in Melanesia also involves some of these ceremonial features. A great deal of the energy expended in kula shell exchanges, for example, appears to outside observers to have little justification in terms of economic benefit. Thus it might be argued that such overseas expeditions should be regarded not so much as trading ventures as complex social rituals.

He notes, though, that applying this thinking to the trade network of the Vitiaz Strait is controversial. Harding (1970) thinks that the ceremonial aspects of trade have been over-emphasised, and that the traders of the Strait, at least, were primarily interested in commerce, acting as middlemen between the Bilbil network centred near present-day Madang and networks that ran along the north and south coasts of New Britain. The Siassi ‘engaged in social rituals of exchange as a means of acquiring valued need serving goods’ (1970:108). Smith writes,

They acted as middlemen, exchanging goods at favourable rates by manipulating exchange ratios in the different Vitiaz Strait ports. A pig, for example, could be exchanged on Umboi for 5-10 packets of sago, which in turn were exchanged at Sio or Gitua for 50-100 pots. These pots could then be transported to New Britain, where they yielded 5-10 pigs (Harding 1970: 139). Thus goods of little value in one community were transported to others where they were in short supply, or had high prestige, usually for ceremonial purposes, and thereby appeared to yield a considerable profit. …

Even in the situation described by Harding (1967, 1970), the need for a counting system as sophisticated as the POc decimal system would have been minimal. Gift exchange always entailed exchanging an amount of a particular commodity for an equivalent amount of the same commodity. The Siassi traders exchanged a set amount of a one commodity for an ‘equivalent’ amount of another. This did not entail sophisticated calculation skills. Indeed, numeral systems on either side of the Vitiaz Strait are base-5-20 or -5-10-20 systems that have more in common with digit tally systems than with the extensive POc system (§15.4).

1.2.3. Other uses of counting?⇫

Another pointer to the restricted application of decimal counting is that various ethnographers have observed that Oceanic speakers do not count people or their ages or time in any form.

Carrier (1981:417) writes of Ponam speakers:

One of the most striking things about Ponams is that they do not count people. Despite obvious skill with numbers, no one has any idea how many people live on the island, how many households there are or how many children are attending the primary school. Even more surprising, many parents of large families do not know how many children they have without stopping to think about it. And almost no one knows that there are 14 clans on the island, although everyone knows their names and can calculate the number in a few moments. Ponams simply are not interested in counting people; apparently these quantifications tell them nothing interesting about social relations. But other sorts of quantifications do, most importantly those used in exchange.

Thune’s (1978:74) account of numeration among the Duau (PT) of Normanby Island overlaps strikingly with Carrier’s, except that the Duau appear not to use counting even in gift exchanges.

… mothers of children only a few years old do not know (nor do they care about) the ages of their children. It is not so much that one couldn’t develop means for keeping track of age using the Loboda numerical terminology, or for that matter the introduced English terminology, as there is no interest in doing so. … Loboda people of course are quite able to refer to the age of people: they have terms for infant (memeyo), child (gwama), adolescent boys and girls (tubuhau, gomwagwehine), and so forth. But in using these terms to speak of the age of people, they think of a stage or fraction of a person’s life rather than of an abstract number of countable years.

Alkire (1970:37) comments on Woleaian (Mic) counting, which is decimal and employed in ceremonial exchanges,

An individual does not think of his age in terms of years (a unit of measurement of little traditional importance on Woleai) or of seasons (a unit which is important and discussed below), but only comparatively, as being younger or older than some other person of reference. The life span of a person, however, is divided into several “ages” which vary according to sex.

Elbert (1988:186) writes,

Not everything was counted in Rennellese culture. No one knew or was at all interested in his own age. One was content with the vague terms for the life span: infancy (mi’ime’o’anga), adolescence (bagokaa ’anga), middle age (mi’itauiku ’anga), old age (tauiku), and extreme old age or senility (hu’oitouiku, neneba, tau mago ti’aki). Years and generations were not counted at all. Time was told by looking at the sky.

Labrecque (2009) comments on Southeast Ambrym speakers:

If you were to ask someone how many children they have, they would have to name each one and count on their fingers as they think of their children by name, not number. Even in the same conversation, 2 minutes later, if asked to verify that they had 5 children, they would need to start counting all over again. This is the same for number of gardens, pigs, cattle, chickens.

There are overlaps between these mutually distant accounts. They agree that Duau, Woleaian and Renellese speakers do not count ages in years but assign people to age cohorts (vol.5:57–70). Neither Ponam nor Duau nor SE Ambrym speakers know straight off how many children they have. Rennellese speakers do not count years, and Chapter 11 confirms that this is true all over Oceania.

1.2.4. The origin of Oceanic enumerative classifiers⇫

Formal counting at feasts was mostly performed with a decimal system, but this was accompanied by the use of enumerative classifiers. That is, each product was arranged or bundled in units that contained a certain number of each product, and it was these units that were counted, rather than the product itself.

Elbert (1988:187) describes a wealth distribution 20 years later than the one quoted in §14.1.2.1, by which time the young no longer fully understand the counting practices of their elders:

In 1958 on Rennell the traditional distributions were to some extent still practiced on great occasions, with the Christian god replacing those of Rennell. The main event of the greatest holiday, New Year’s, was the food distribution. A few elderly men supervised what seemed to the young an impressive but overly fussy way of arranging the huge displays. Why should large fish, reptiles, and humans be counted differently than small fish? Why should yams and breadfruit be counted in pairs, banana bunches in fours, and bunches of taro stalks in fives?

The last two sentences refer to the use of enumerative classifiers in counting. The Rennellese elders counted with enumerative classifiers of different quantities, the quantity depending on the item counted.

Fox (1931) takes the connection between Arosi numerals and feasting for granted when he discusses the term for ten million coconuts: ‘The people say they never needed in practice a larger numeral term, as they never prepared for a feast more than ten million nuts, and so they did not go any further.’

Enumerative classifiers have been recorded in many Oceanic languages (for specifics see §14.6.3). Ivens (1930) and Hogbin (1964a), both cited by Hill & Unger (2018), mention large numbers of foodstuffs at ceremonial exchanges. They write,

A reader of their ethnographic work may wonder how they knew there were 5,000 yam cakes or 20,000 yams, and why it was important to the communities to calculate exactly how many yam cakes or yams there were. There was no written numeration so, once counted, how did speakers remember these numbers?

Hill & Unger’s answer is that SE Solomons languages use enumerative classifiers4 (§14.1.1) to count items in tens, thereby reducing counting and memorisation (also Bender & Beller 2007a, 2007b). In (11) paga is an enumerative classifier meaning ‘ten animals’. The structure is an analogue of English ‘a school of fish’, but school specifies no quantity, whereas Lengo paga is a group of ten animals.

    • Lengo (SES)
      ‘one “ten.animals” of fish’
      sakai na paga ni iɣa
      one ART ten.animals ASSOCIATIVE fish

But this cannot have been the whole answer to the ‘how’ question. There must have been at least two other ingredients to counting large quantities. First, some enumerative classifiers counted multiples of other enumerative classifiers (§§14.6.3–4). Second, people kept tallies by various ethnographically recorded means. These included plucking the leaflets from a fern (Fox 1931; Paraide 2008) or tying knots in a string (Codrington 1891:353). Codrington also describes more complex tallies.

At Saa when yams are counted two men count out each five, making ten, and as each ten is made they call out ‘one’, ‘two’, and so on. A man sits by, and when ‘ten’ is called making a hundred, he puts down a little yam for a tally.

Bender & Beller (2006a, 2007b) argue convincingly that enumerative classifiers count products that are both culturally salient and abundant (§14.6.3). Cultural salience here means that the counted products are considered worthy of ceremonial exchange or as representative of the donor’s distributions. This suggests in turn that enumerative classifiers arose from nouns that designated the smallest collection units in which products were laid out at these ceremonies. However, no POc enumerative classifier can be securely reconstructed, and the evidence for this hypothesis consists of the circumstantial evidence offered in the subsections of §14.6.3. It includes the fact that the items counted with an enumerative classifier are the items that are presented in ceremonial exchanges and that the classifiers themselves participated in classifier hierarchies where each classifier denoted a multiple of a numeral associated with the counted product. The numeral was often two, i.e. a pair.

Map 14.1: Distribution of classifiers by semantic type

This account of the emergence of enumerative classifiers receives support from their geographic distribution. Map 14.1 shows the distribution of the types of classifiers (§14.1.1) across Oceanic languages (whether they are bound or free forms is disregarded). Mensural classifiers are omitted because they occur in all languages. Much of Polynesia is omitted because of its huge extent. The maps are based on the numbers of classifiers recorded in what are probably fairly complete listings in the literature, but it is likely that some classifiers have disappeared in the recent past. What are of interest, then, are languages where larger number of classifiers appear than elsewhere. Sortal classifiers occur in larger numbers than elsewhere in Micronesian and in some Admiralties (Seimat, Ponam) and Papuan Tip (Kilivila, Muyuw and Sudest) languages. Multiplicative classifiers occur in relatively larger quantities in Micronesian languages (Harrison & Jackson 1984). Strikingly, however, enumerative classifiers occur more widely in Map 14.1 than either sortal or multiplicative classifiers. They occur in languages of New Ireland, Bougainville and the Solomon Islands, which largely lack grammaticalised sortal or multiplicative classifiers, and they are more common than sortal classifiers in Bauan Fijian, Tongan and Samoan—but less common in Micronesian and Admiralties languages.

This difference in distribution between sortal and enumerative classifiers reflects a difference in history. A core set of sortal classifiers is of POc—and earlier—antiquity (§14.6.1), but there is little evidence of POc enumerative classifiers. This does not mean that they did not occur, but that there has been a continual process of replacement by fresh invention as a result of the ceremonial processes described above. The map shows that they have also been innovated in places where sortal and multiplicative classifiers do not occur, and in Micronesian and Admiralties languages have not been innovated in languages where sortal classifiers are plentiful. The difference in distribution reflects a difference in the cultural contexts of sortal and enumerative classifiers. The former are in everyday use, the latter in ceremonial use.

2. Reconstruction: Proto Oceanic terms for ‘count’⇫

The only term meaning ‘to count’ that has non-Oceanic cognates is POc *i(y)ap, reflected only in a few North New Guinea and Papuan Tip languages. A possible reason for its disappearance is its form. PMP *ihap became POc *iap. In languages where final consonants were lost it became †*ia or just †*ya, defying the Oceanic preference for disyllabic roots and becoming ripe for replacement.

PMP *ihap ‘count’ (ACD)
POc *iap [VI] ‘count’
POc *iap-i- [VT] ‘count’
NNG Tami yau ‘count’
NNG Bing (su)yiy-ai ‘count’
PT Maisin (ko)yav-i ‘count’
PT Gumawana -(katu)yaiv-i(na) ‘count’
PT Dawawa -(s)iava ‘count’ (initial s- unexpected)
PT Ubir -iyab ‘count; read’
PT Wedau -yava ‘count’
PT Gapapaiwa -iava ‘count; read’

The most widely attested POc verb meaning ‘count’ is POc *wase, but this was just one of its meanings, which included at least ‘distribute (food at a feast), divide up, count out’, carrying an association with feasting and the distribution of ceremonial gifts as well as food, meshing with the context of decimal counting described in §14.1.2. The primary sense of *wase was almost certainly ‘distribute’, and so the supporting cognate set and discussion of its senses is found in §13.5.1.

POc *topoŋ (V) ‘measure’ is reconstructed in §16.3. It has fewer ‘count’ reflexes than the terms reconstructed here, and those reflexes may well be local extensions from the sense ‘measure.’

The cognate set reflecting POc *luku ‘count’ has a rather unusual distribution. It is given here in the hope that further research will shed light on it. Reflexes have been found only in languages of New Britain’s Gazelle Peninsula and in the Torres and Banks Islands of north Vanuatu. The distribution may reflect later migration from New Britain to Vanuatu (§15.9.2).

POc *luku ‘count’
MM Minigir lu-luku ‘count’
MM Tolai lu-luk ‘count’
MM Ramoaaina lu-luk ‘count’
MM Bilur lu-luk ‘count’
NCV Hiw yʉkʷ ‘count’
NCV South Gaua luɣ ‘count’
NCV Lakon luɣ-luɣ ‘count’
NCV Loh luk ‘count’
NCV Vera’a luku-n ‘count’

Three lower-order reconstructions are given below. The first two are PPn reconstructions with similar form and meaning. However, their initial consonants show that they are separate terms. The glosses suggest that *lau was more specifically concerned with reciting a list, including a list of numbers.

Although the Santa Isabel terms listed under ‘cf. also’ bear some formal similarity to reflexes of the verb given in POLLEX as PPn *tau ‘count’, the sound correspondences between the two sets do not permit a reconstruction.5

PPn *tau ‘count, tell’ (POLLEX)
Pn Niuean totou ‘read, count’
Pn Samoan fai-tau ‘count’
Pn Tuvalu tau ‘count, read’
Pn Emae tāu-a ‘count, read’
Pn Nukuoro dau ‘count, read’
Pn Rennellese tau ‘count, enumerate’
Pn Takuu tau ‘count, enumerate’
Pn Tikopia tau ‘count, reckon, measure’
Pn West Futunan tau-a ‘count, add, read’
Pn West Uvea tau, tau-a ‘count, number, read’
Pn Pukapukan ta-tau ‘count’
Pn Tahitian tau ‘count, number’
Pn Tongarevan ta-tau ‘read, count’
Pn Tuamotuan ta-tau ‘describe, relate, recount’
Pn Marquesan ta-tau ‘count, recite’
Pn Māori ta-tau ‘count’
cf. also:
MM Kia taho ‘count’
MM Laghu taho ‘count’
MM Kokota ta-taho ‘count’

PPn *lau ‘recite, count, list’ (POLLEX)
Pn Tongan lau ‘mention; think of; consider; count, reckon, estimate, assess; read, recite’
Pn Niuafo’ou lau ‘count’
Pn Samoan lau ‘read; call out, give out song verse by verse’
Pn Anutan rau ‘count’
Pn Tuvalu lau ‘count, recite’
Pn East Futunan lau ‘read, recite; count’
Pn East Uvean lau ‘count, calculate’
Pn Tikopia rau ‘enumerate, count, go through items on a list’
Pn Pukapukan waka-lau ‘count’

3. The structure of POc phrases containing an attributive numeral⇫

3.1. The *NUMERAL ŋa CLASSIFIER and *sa-CLASSIFIER structures⇫

Table 14.1 shows that POc numerals for tens and hundreds, e.g. *sa=[ŋa] puluq ‘10’, *rua ŋa puluq ‘20’, *tolu ŋa puluq ‘30’, had a structure in which the morphemes *puluq ‘10’ and *Ratus ‘100’ appear to be multiplicative classifiers (§14.1.1). The numeral is connected to the classifier by the ligature *ŋa.6 This *ŋa seems to have originally been absent after *sa- ‘one’, a proclitic that was immediately attached to the classifier. The *NML ŋa CLF structure and its variant sa-CLF are of PMP antiquity, and are reflected as far down the Oceanic tree as Polynesian. This raises the question, Did the POc structure reflect a productive numeral classifier structure, or was it just a fossil?

Being productive would mean that the structure was also used with other classifiers—and it was, according to evidence from both higher and lower nodes of the Austronesian tree. Table 14.2 shows forms for 1–3, 10–30 and 100–300 in one western and three central Malayo-Polynesian languages (i.e. languages at higher nodes; see figure 1.2) and POc. Certain facts are obvious. Cognates of POc *sa=[ŋa] puluq ‘10’ and *sa=[ŋa] Ratus ‘100’ are preceded by a proclitic that is cognate with POc *sa= ‘one’. In Javanese sa ‘1’ is not followed by a ligature cognate with *ŋa, but the ligature occurs after 2 and 3. In the other three languages the ligature has been generalised to occur with ‘one’ as well. In Javanese *ŋa is reflected as -ŋ on simple numerals from 2 upward. In Hawu *ŋa-puluq and *ŋa-Ratus have become ŋuru and ŋahu, in Kambera -ᵐbulu7 and ŋahu, and in Kéo mbudu and ŋasu. In Kéo the morpheme order is reversed for numerals 2 and above.

Table 14.2 Non-Oceanic and POc 1–3, 10–30 and 100–300
Javanese (wMP) Hawu (cMP) Kambera (cMP) Kéo (cMP) POc
1 siji əhi diha ha _*(i)sa_¹
2 loro ɗue dua rua *rua
3 təlu təlu tailu tedu *tolu
10 sa=puluh he-ŋuru ha-ka-mbulu ha mbudu *sa=[ŋa] puluq
20 ro=ŋ puluh ɗue ŋuru dua ka-mbulu mbudu rua *rua ŋa puluq
30 təlu=ŋ puluh təlu ŋuru tailu ka-mbulu mbudu tedu *tolu ŋa puluq
100 s-atus he-ŋahu ha-ŋahu ha ŋasu *sa=[ŋa] Ratus
200 ro=ŋ atus ɗue ŋahu dua ŋahu ŋasu rua *rua ŋa Ratus
300 təlu=ŋ atus təlu ŋahu tailu ŋahu ŋasu tedu *tolu ŋa Ratus

¹There were probably several POc forms meaning ‘1’ (§14.4.1).

The critical point here is that in each language other classifiers occur in the same slot as the multiplicative classifiers in Table 14.2. Javanese mensural classifiers occur in it: sa=prapat ‘a quarter’, təlu=ŋ prapat ‘three-quarters’; ro-ŋ taun ‘two years’; pata-ŋ jam ‘4 hours’ (Robson 1992). Hawu sortal classifiers occur there: he=ŋiʔu wawi ‘one pig’, ɗue ŋiʔu wawi ‘two pigs’, where ŋiʔu is the classifier for animals (Walker 1982). Kambera has sortal classifiers based on shape. After ha- ‘one’, these do not reflect *ŋa, but after ‘2’ or greater, the initial consonant undergoes a change that does reflect *ŋa: ha=puŋu pena ‘one pen’ vs dua mbuŋu pena ‘two pens’; ha=wala kapambal ‘one plank’ vs ha dua mbala kapambal ‘two planks’ (Klamer 2010).8 In Kéo the reversal of constituents with 2 and above attested in Table 14.2 also occurs with sortal classifiers: aki ha=ᵑgaʔe [man one-CLF] vs aki ⁿgaʔe dima [man CLF 5] (ᵑgaʔe ‘human being’) (Baird 2002).

This evidence that *NML ŋa CLF occurred in languages at higher nodes than POc only says that POc could have retained the productive structure. The tens and hundreds in Table 14.1 could be fossils. However, evidence from Admiralties, Micronesian and Polynesian languages tells us that POc did retain *NML ŋa CLF as a productive numeral classifier structure. Admiralties and Micronesian languages have NML CLF order, reflecting POc *NML ŋa CLF, but less obviously than in Table 14.2.

Table 14.3 shows Ponam (Adm) tens, hundreds and a small sample of classifiers.9 There are indicators that the items in the table reflect POc *NML ŋa CLF. First, -ŋuf ‘10’ and -ŋat ‘100’ reflect POc *ŋa puluq and *ŋa Ratus, although *ŋa is not reflected in columns D–G. Ponam (Adm) numerals reflecting POc *ŋa and a sample of classifiers.

Table 14.3 Ponam (Adm) numerals reflecting POc *ŋa and a sample of classifiers
A B C D E F G
1–4 tens hundreds heaps of coconuts bundles branches fish hooks
1 si sa-ŋuf sa-ŋat sa-hum sa-bis sa-kal sa-kau
2 luo-f lu-ŋuf lo-ŋat lo-hum lo-bis lo-kal lo-kau
3 talo-f tulu-ŋuf tulu-ŋit tulu-hum tulu-bis tulu-kel tulu-kau
4 fa-f fa-ŋuf fa-ŋat fa-hum fa-bis fa-kal fa-kou

Second, the structure of tens and hundreds in columns B and C is identical to that of classifiers in columns D–G. The Ponam situation is reflected across Admiralties subgroups.

Micronesian classifiers are exemplified in §14.1.1 and are well described in the various grammars of Micronesian languages. The situation resembles that of Admiralties languages. The ligature *ŋa is preserved in PMic *-ŋawulu ‘unit of ten (in counting)’ and PChk *-ŋa-ratu ‘thousand (numeral classifier)’ (Bender et al. 2003a; cf data in §14.4.5.1). It is not obviously inherited in Micronesian forms with other classifiers, but *ŋa is sometimes reflected in a prenasalisation of the following classifier: see under POc *-tau ‘animate; person’ (§14.6.1) and POc *-pui ‘bunch, group’ (§14.6.2).

Finally, *ŋa is alive and well in certain Polynesian languages.Table 14.4 shows classifiers used in the Tongan reflex of the POc *NML ŋa CLF structure. Column A shows the numerals 1–4. Columns B and C show that the structure of 10–40 and 100-400 is identical to that of the enumerative classifiers in columns D–G. Thus -fulu ‘unit of 10’ and -au ‘unit of 100’ are also multiplicative classifiers. One apparent anomaly is ho-ŋo-fulu ‘10’, which retains the structure of PPn *ha-ŋa-pulu ‘10’ where the other classifiers in the row have replaced *ha-ŋa- with the PPn non-specific article *te-.

It would be possible to build a similar table for Samoan or for Rennellese, and each would show the same thing: that PPn *-fulu ‘unit of 10’ (§14.4.5.1) and *-rau ‘unit of 100’ (§14.6.4) were enumerative classifiers. Together, the Admiralties, Micronesian and Polynesian data show that the POc *NML ŋa CLF structure was productive and that *-puluq and *-Ratus were, and in some languages still are, multiplicative classifiers.

Table 14.4 Tongan (Pn) classifiers reflecting PPn *ŋa
A B C D E F G
1–4 tens hundreds scores of coconuts tens of scores of coconuts tens of scores of yam pieces¹ tens of fathoms high or deep
1 taha ho-ŋo-fulu te-au te-kau te-fua te-fuhi te-kumi
2 ua uo-fulu ue-ŋe-au ue-ŋa-kau uo-fua uo-ŋo-fuhi uo-ŋo-kumi
3 tolu tolu-ŋo-fulu tolu-ŋe-au tolu-ŋa-kau tolu-fua tolu-ŋo-fuhi tolu-ŋo-kumi
4 fā fā-ŋo-fulu fā-ŋe-au fā-ŋa-kau fā-fua fā-ŋo-fuhi fā-ŋo-kumi

¹For planting.

Map 14.2: Bound classifiers in the SW Pacific

3.2. The CLASSIFIER + NUMERAL structure⇫

This, however, is not the whole story. There is evidence that alongside the *NML ŋa CLF structure POc also had a *CLF NML structure. Evidence for this comes from SHWNG languages, Oceanic languages with this structure, and especially Polynesian.

The SHWNG languages Buli (Maan 1951:42), Taba (Bowden 2001:242–245), Ambel (Arnold 2018:159–161) and Magey Matbat (Remijsen 2010:287–290), all have CLF NML order.10 None has a reflex of *NML ŋa CLF. Rongga (Arka 2008) and Waima’a (Himmelmann 2010:56), CMP languages of Wallacea and cousins to SHWNG also have a CLF NML structure. But as shown in §14.3.1 not all CMP languages have CLF NML. Some reflect *NML ŋa CLF This implies that the CLF NML structure was innovated somewhere in the CEMP linkage and was inherited into POc. The origin of CLF NML seems straightforward. As most prefixed classifiers reflect earlier nouns (§14.6), CLF NML reflects the regular noun-phrase order noun NML.

For classifiers other than ‘unit of 10’ and ‘unit of 100’ non-Polynesian Oceanic languages retain either CLF NML or NML [*ŋa] CLF, but not both. The classifier precedes the numeral in some Papuan Tip11 a few Meso-Melanesian,12 and all New Caledonian languages. This distribution is strikingly areal, as Map 14.2 shows. In the north a classifier follows the numeral. In the south it precedes it.

Blust (2013:284–285) briefly discusses ‘onset runs’ in numerals. These are runs of numerals that begin with the same segment or syllable. He includes Buma (TM) tilu ‘2’, tete ‘3’, teva ‘4’, tili ‘5’, tuo ‘6’, tibi ‘7’, tua ‘8’, tudi ‘9’ and Mwotlap (NCV) voyo ‘2’, vetel ‘3’, vevɛt ‘4’. He comments that they result from prefixation of unknown morphemes. In these two cases it seems likely that they reflect prefixation of a no longer productive classifier: *tau- ‘human being’ in Buma, and the default classifier *pua- in Mwotlap (§14.6.1). Fossilised prefixes on simple numerals are rife in the southern prefixing area, stretching from New Ireland in the north to the southernmost languages of Vanuatu (Map 14.2).

3.3. A conclusion⇫

On this evidence it is difficult to avoid the untidy conclusion that POc retained both the *NML [ŋa] CLF structure and the *CLF NML structure, and that various languages either (i) generalised CLF NML, but usually retained NML ŋa CLF in counting tens and hundreds; or (ii) generalised NML ŋa CLF; or (iii) lost numeral classifiers altogether.

Some Polynesian languages are striking in that they retain both structures. In this respect they form a relic area which supports the claim that POc also had both structures. Clark (1999) reconstructs both structures for PPn, and an inspection of Tongan, Samoan and Rennellese data confirms this.13 It evidently continued the POc situation. Unlike Admiralties and Micronesian, where all counting is done with a classifier, PPn classifiers were only used to count certain nouns associated with what Elbert (1988:192) terms “planting, fishing, and ostentatious display”. If a classifier was used with a numeral to express a number less than 10, then CLF NML order was used. For example, PPn *toka- ‘human’ (Clark 1999:198) was used to count people up to 9, e.g. *toka-rua ‘two (people)’. For quantities of 10 and above, either structure might be used, depending on what one was counting. Exactly how this division of labour worked in PPn is unclear, as languages of the two first-order Polynesian groups, Tongic and Nuclear Polynesian, do not always agree. But one thing is clear: when PPn used the NML CLF structure, the classifier was always enumerative (§14.1.1), denoting a multiple of the thing counted.

4. Reconstructing cardinal numerals: serial, attributive, and predicative⇫

Cardinal numerals (‘one’, ‘two’, ‘three’ etc) are reconstructed in §14.4.1–14.4.4. They are used in two ways. In serial counting, the speaker says the numbers one after the other in sequence. When a numeral is used for quantification it is either attributive or predicative. An attributive numeral forms part of a noun phrase (e.g. two houses, twelve pigs). A predicative numeral is a predicate, as in We are two in the sense ‘There are two of us’.

It seems probable that POc serial counting was done with plain root forms, as in Mussau and in Micronesian languages. In their quantifying function POc simple decimal numerals above ‘one’ seem to have functioned both attributively and predicatively. From the perspective of POc grammar, this is uncontroversial. POc had very few adjectives (Ross 1998a), and most properties were encoded as verbs, simply appearing unaffixed when attributive. However, it seems that POc attributive numerals either formed a class of their own or were a quantifier subclass, as they took the prefix *ka- when they occurred attributively, as in (12), and perhaps occurred before the noun they quantified.

    1. Mussau (Adm): (Brownie & Brownie 2007:51)
      ‘three big canoes’
      ko-tolu olimo namū
      ATTRIB-3 canoe big
    2. Ughele (MM): (Frostad 2012:59)
      ‘four girls and two men’
      ka made vineki meke ka rua koreo
      ATTRIB 4 girls and ATTRIB 2 men
    3. Kwamera (SV): (Lindstrom & Lynch 1994:16)
      ‘two houses’
      nimʷa kəru
      house 2

In the cognate set below, most reflexes of *ka- are fossilised, i.e. they occur as part of the cardinal numeral regardless of its function. There are many languages where *ka- is reflected as the first element only of ‘one’. These instances are excluded here, as they appear to reflect a distinct but homophonous morpheme participating in some of the many forms for ‘one’ either alone or as their first syllable (§14.4.1).

POc *ka- [ATTRIBUTIVE]
Adm Mussau ɣa-, ka-, ko- [ATTRIB] (ɣa-: 2, 4-9; ka- 1, 10; ko- 3) (Brownie and Brownie 2007: 48–51)
MM Tangga ka- [SERIAL] (all) (Maurer 1966: 74)
MM Vaghua ka- [FOSSIL] (1–9)
MM Varisi ka- [FOSSIL] (1–9)
MM Simbo ka- [FOSSIL] (1–3, 8)
MM Kubokota ka- [ATTRIB] (4–9) (Chambers 2009: 84)
MM Roviana ka- [FOSSIL] (2)
MM Ughele ka- [ATTRIB] (all; also SERIAL with 1-2) (Frostad 2012: 58)
MM Marovo ka- [FOSSIL] (2)
MM Vangunu ka- [FOSSIL] (2)
MM Mbareke ka- [FOSSIL] (2, 4–9)
NCV Tamambo a- (1–9, W dialect ɣa-)
SV Utaha ka- [FOSSIL] (2-3)
SV Lenakel ka-, ke-, kə- [FOSSIL] (2-9)
SV Kwamera ka-, ku-, kə- [FOSSIL] (2–5)

Blust’s (2013:284–285) discussion of ‘onset runs’ was mentioned in §14.3.2. One of the runs Blust cites is Neve’ei (NCV) iru ‘2’, itl ‘3’, ifah ‘4’, ilim ‘5’. The i- prefix is a realis 3SG subject marker. In neighbouring Neverver the paradigm is (Barbour 2012:157):

REALIS IRREALIS
2 i-ru ib-ru
3 i-tl ibi-tl
4 i-vas iʙ-was
5 i-lim ib-lim

The fact that there is a realis/irrealis contrast shows (a) that these numerals are (stative) verbs; and (b) that syntactically they are the predicates of relative clauses rather than attributives. The phrase in (14) is more literally translated as ‘small bows of theirs that are two’:

    • Neverver (NCV): (Barbour 2012:157)
      ‘two small bows of theirs’
      nivis-bratn lele titi-dr i-ru
      bow-real small P:3-PL 3REALIS:SG-two

In a number of Oceanic languages predicative numerals with realis prefixes have been reanalysed as attributives, with fossilised i-, e- or (in SW Santo) mo-.

4.1. One⇫

Oceanic languages display a plethora of forms for ‘one’. This is an exception to the claim that, across language families, numerals 1 to 5 are slow to change relative to both other numerals and to basic lexicon (Pagel, Atkinson & Meade 2007; Pagel & Meade 2018). Previous accounts have tended to gloss over this.

Where a term for ‘one’ is known to be serial or attributive in function, this is shown below. Where a form is glossed ‘a’ or ‘some’ or marked as an indefinite article, this tells us that it is used attributively, but does not necessarily mean that there is a distinct serial form.

4.1.1. *sa-, *sa, *tasa, *tasi and *ta⇫

Some nouns always took a numeral + classifier combination as an attribute, and others took a simple numeral (§14.3). In the former case, the attribute was *sa-CLF. In the latter case, the attributive marker *ka- (§14.4) was possibly used, but we cannot be sure that it occurred with ‘one’. POc *(i)sa ‘one’ is also reflected as the PPn indefinite article *sa (ACD), which, with an irregular vowel change, became Proto Nuclear Polynesian *se (Clark 1976:50).14 Thus POc *(i)sa was attributive, hovering between a numeral and an indefinite article.

PNCV *sa-wa is included under *(i)sa because it seems to be a local development in more northerly areas of Vanuatu. Added *-wa, sense unknown (perhaps POc *pua- DEFAULT CLASSIFIER), also occurs in *tai-wa, in an overlapping area. N-C Vanuatu terms often reflect further additions.

PAn *isa, *esa, *asa ‘one’ (ACD)
POc *(i)sa ‘one’ (attributive); ’’
NNG Mangap sa ‘some’
NNG Barim sa ‘some’
NNG Amara so ‘some’
NNG Lamogai (i)sa ‘one’; ‘some’
PT Gapapaiwa sa(go) ‘one’; ‘another’
PT Boanaki sa(go) ‘one’
MM Nakanai (i)sa-sa ‘one’
SES Owa ta ‘one’
NCV Rano sa ‘one’
PNCV *sa-wa ‘one’
NCV Sa su ‘a’; ‘one’
NCV North Ambrym hu ‘one’
NCV Orkon ho(l) ‘one’
NCV Daakaka swa ‘one’
NCV Lonwolwol hu ‘one’
NCV Lendamboi sua ‘one’
NCV Unua soɣa ‘one’
NCV Maskelynes sua ‘one’;
Proto N Malakula *sa-ɣa-l ‘one’
NCV Malua Bay sxa(l) ‘one’
NCV Tirax haxa(l) ‘a’; ‘one’
NCV Navwien (i)saɣa(l) ‘one’
Proto CW Malakula *sava[ɣ,m] ‘one’
NCV Neve’ei sava(ɣ) ‘one’
NCV Neverver (i)sɣa(m) ‘one’
NCV Avava sap(m) ‘a’; ‘one’
NCal Tîrî sā ‘one’
NCal Xârâcùù ʃā ‘one’
Mic Kosraean so(ko) ‘other’
Mic Pulo Annian de- ‘one’
PPn *sa ’’ (Clark 1976: 50)
Pn Tongan ha [INDEFINITE ARTICLE]
Pn Niuean ha [SINGULAR INDEFINITE ARTICLE]
PNPn *se ’’ (Clark 1976: 50)
Pn East Futunan se [INDEFINITE ARTICLE]
Pn Rennellese he [SINGULAR, NON-SPECIFIC ARTICLE]
Pn Pukapukan e [INDEFINITE ARTICLE]
Pn Hawaiian he [INDEFINITE ARTICLE]

It seems reasonable to associate a serial form *ta-sa with the above.

POc *ta-sa ‘one’ (serial; PEOc: Pawley 1972:52; ACD)
Proto Kilivila *-ta-za ‘one’
PT Kilivila -tala ‘one’
PT Muyuw -(i)tan ‘one’
PT Gawa -tara ‘one’
PT Gumawana ta-ya[mo] ‘one’ (-mo ‘only’)
MM Vitu taða ‘some’
MM Meramera tasa ‘one’
MM Roviana tasa ‘one’ (serial)
MM Gao tasa ‘one’
MM Kokota taho ‘one’ (serial, archaic)
Proto Tongic *taha ‘one; another’
Pn Tongan taha ‘one; someone, anyone; person; other, another’
Pn Niuean taha ‘one, any, an; singly, by itself; another’
Pn Niuafo’ou taha ‘one’

Clark (1999) takes PNPn *tasi to be an idiosyncratic development from PPn *tasa, and these forms are listed below with apparent cognates that may imply POc *ta-si.

SJ Yamna tes ‘one’
SJ Sobei tesesesi ‘one’
NCV Atchin (i)tes ‘one’ (SERIAL)
NCV Namakir (i)teh ‘one’
Pn Samoan tasi ‘one’
Pn Tuvalu tasi ‘one’
Pn Rennellese tasi, tahi ‘one’
Pn Ifira-Mele tasi ‘one’
Pn East Futunan tasi ‘one’
Pn Tikopia tasi ‘one’
Pn Rapanui tahi ‘one’
Pn Hawaiian kahi, (ʔe)kahi ‘one’
Pn Mangarevan (e)tai, taʔi ‘one’
Pn Marquesan tahi ‘one’
Pn Māori tahi ‘one’

It is very probable that the *ta of *ta-sa reflected a PAn indefinite article, the origin of which is briefly discussed in Lynch et al. (2002:71). This raises the question of how *sa and *ta differed. The one clue is that *sa was a numeral that in some languages was reinterpreted as an indefinite article, whereas the reinterpretation of *ta seemingly moved in the opposite direction. Another possibility is that *sa was a non-specific indefinite article, and *ta specific indefinite (in keeping with its earlier case-marking function).

In many of the forms listed below, the reflex of *ta is followed by one or more apparently monosyllabic morphemes. Some suffixed forms, reflecting PPT *-mo, *-qa and *-moqa, evidently meant ‘only’. If *ta was indeed the indefinite article, then these forms may have specified that its meaning in this context was ‘one’. With reasonable confidence, final -n or -na is a singular marker reflecting POc *-ña, which, suffixed to an attributive adjective, marked a noun phrase as singular.

POc *ta ‘one’ (INDEFINITE ARTICLE)
NNG Bariai (e)ta ‘some, any’
NNG Mangap ta ‘one’
NNG Mangap tata(ŋa) ‘a few’
NNG Barim ta ‘one’
NNG Sengseng ta ‘one’
NNG Wogeo ta ‘one’
NNG Yabem ta(gɛŋ) ‘one’
NNG Yabem ta-ɛŋ, tɛŋ ‘a, some’
PPT *ta ‘one’
Proto Sudest-Nimoa *-ta[ɣa] ‘one’
PT Sudest ra, re(ɣa) ‘one’
PT Nimoa -ta(ga) ‘one’
PT Misima (e)te(ga) ‘one’
Proto North Mainland/D’Entrecasteaux *ta-mo[qa]- ‘one’
PT Gumawana ta-ya(mo) ‘one’
PT Iamalele (ʔai)ta(moga-na) ‘one’ (ʔai < POc *kai- CLF)
PT Ubir (kai)ta(mom) ‘one’ (kai < POc *kai- CLF)
PT Doga ta(mo-na) ‘one’
PT Minaveha (ai)ta(mo(ata)) ‘one’ (ai < POc *kai- CLF)
PT Wedau ta(gogi) ‘one’
PT Suau (Bonalua) ta(ya) ‘one’
Proto Central Papuan *ta ‘one’
PT Taboro ta ‘one’
PT Motu ta, ta(mo-na) ‘one’
PT Roro ha(momo) ‘one’
MM Bola ta(ku) ‘one’
MM East Kara ta ‘one’
NCV Bierebo ta ‘one’
NCV Lewo ta(ŋa) ‘one’
PNCal *tta ‘one’
NCal Voh-Koné θā ‘one’
NCal Paicî cā- ‘one’
NCal Ajië ra ‘one’

4.1.2. Constituent monosyllables⇫

In §14.4.1.3 below are listed other widely attested forms for ‘one’. Taken together with the forms reconstructed above, it becomes obvious that across Oceanic ‘one’ is often either one of the monosyllables in (15) or a disyllable made up of two of them. The monosyllables form a pattern.

*sa *si *sai
*ta *ti *tai
*ka — *kai

Of the monosyllables in (15) all but *si occur alone as ‘one’. Initial *si- and *ti- tend to occur in the same combinations as *sa- and *ta-, suggesting that at various times and places *si- and *sa- have been in an allomorphic or allophonic relationship, and so have *ti- and *ta-. Final *-si occurs only in *ta-si, an apparent variant of *ta-sa, discussed above. Final *-ka only occurs in contexts in which *-kai also occurs, so they too are treated as one morpheme. This leaves us with the monosyllables in the lefthand column of (16), which also shows the disyllables formed from them. Disyllables that occur only once in the data or only in a small closely knit subgroup are excluded. Bolded forms are those reconstructed in §14.4.1.1.

*sa … … *sa-kai
*sai *sai-sa … …
*ta *ta-sa … *ta-kai
*tai *tai-sa … …
*ka … *ka-ti …
*kai *kai-sa … *kai-kai

POc disyllables tend to have at most three moras, and out of the nine possible 4-mora forms to which *sai, *tai and *kai could give rise, only the reduplicate *kai-kai is putatively attested.

This still gives far more forms for ‘one’ than are expected in a single language. Can this be explained? Several factors may contribute to this situation. One is perhaps that an independent morpheme should have a minimum of two moras. One strategy for achieving this with single-mora reflexes of *sa, *ta or *ka is to add a morpheme meaning ‘only’, as noted in §14.4.1.1. When two of the monosyllables in (15) join to form a term for ‘one’ in (16), the second was perhaps being used in the sense of ‘only’.

Some reflexes of POc *sa and *ta (§14.4.1.1) also function as indefinite articles. The semantic distinction between attributive ‘one’ and an indefinite specific article is small. In My sister married a handsome man, the phrase a handsome man refers to an individual known to the speaker, just as one person does in Only one person came to my party. But it is only a short move from here to My sister wants to marry a handsome man or I’ll meet one boy tonight, where a and one may refer to a specific individual or to an indefinite member of the class ‘man’/‘boy’. Possibly the semantic links from ‘one’ to a specific article and from there to an indefinite article are enough to bring about the coining of disyllabic forms as a means of disambiguation.

Another explanation lies in marking the serial/attributive distinction (§14.4). The POc proclitic *sa- ‘one’ was clearly attributive, as it was used with classifiers (§14.4.1.1). The corresponding serial form was perhaps *ta-sa. The serial/attributive distinction can be reconstructed with reasonable certainty for two Oceanic subgroups: PSES *kesa ‘one (serial)’ (< *kai-sa) vs PSES *sa-kai ‘one (attributive)’, and PMic *tai-sa ‘one (serial)’ vs PMic *te- ‘one (attributive)’ (Bender et al. 2003a).

Reconstructing forms that are monosyllables or are constructed from them (see below) is tricky in any event, as there is an increased probability that homophonous forms have different origins. A case in point is initial *kai-. It may be the *kai- in (15); or it may reflect the classifier for long rigid objects *kai- (§14.6.1).

4.1.3. Other widely attested forms for ‘one’⇫

This subsection contains forms that are widely enough attested to imply a reconstruction. ‘Widely enough attested’ means that they have reflexes on both sides of the Near/Remote Oceanic boundary (§1.4.4.2). The disyllables in (16) are certainly not all of POc antiquity, and it is likely that the same morpheme sequences have been innovated independently in various times and places. They are presented here because organising the data in this way indicates what is there, and suggests future research.

4.1.3.1. *tai and *tai-

Forms reflecting *tai are so widespread that this appears to have been a standalone POc form for ‘one’. It is perhaps an extended form of *ta (§14.4.1.1), but the function of added *-i is not known. As mentioned above, there are various local additional syllables.

POc *tai ‘one’
PWAd *tai- ‘one’
Adm Kaniet tē- ‘one’
Adm Seimat te- ‘one’
Adm Wuvulu ai ‘one’ (serial)
Adm Wuvulu e- ‘one’ (attributive)
SJ Kayupulau tai ‘one’
SJ Tobati tei ‘one’
NNG Sio tai(tu) ‘one’
NNG Kaulong te(hen) ‘one’
NNG Gedaged tai ‘one’
NNG Kairiru tai ‘one’; ‘some (uncountable)’
NNG Numbami te ‘a’
NNG Hote te ‘a’
PT Miniafia tai(mon) ‘one’
PT Kakabai te(gana) ‘one’
PT Balawaia te(bona) ‘one’
TM Engdewo ɞte ‘one’ (attributive)
TM Engdewo tete ‘one’ (serial)
TM Natügu tesə ‘one’ (serial; < *tai-sa)
TM Nebao tua ‘one’ (< *tai-wa ?)
NCV Ambae te(a) ‘one’ (serial)
NCV Merei (e)se ‘one’
NCV Araki (he)se ‘one’
NCV Mafea te(a) ‘one’
NCV Tamambo (a)te(a) ‘one’
NCV Southeast Ambrym tei ‘one’
NCV Paamese tāi ‘one’
NCV Lewo tai ‘a, some’ (INDEFINITE ARTICLE)
NCV Lewo tā(ga) ‘one’; ‘the same’ (attributive)
PNCV *te-wa[le] ‘one’
NCV Loh tuwe ‘one’
NCV Mwesen (ni)tiwia(l) ‘one’
NCV Mwotlap (VI)tiwa(ɣ) ‘one’
NCV Mota tuwa(le) ‘one’
NCV Baetora tivʷa(le) ‘one’
NCV Ambae (ka)tewa(le) ‘one’ (attributive)
NCV Raga (ɣai)tuvʷa ‘one’
NCV Sowa tuwa(l) ‘one’
NCV Valpei tew ‘one’
NCV Nokuku tev ‘one’
PMic *te- ‘one’ (attributive) (Harrison and Jackson 1984: 66)
Mic Kosraean se ‘one’
Mic Kiribati tēra ‘one’ (serial; < *tai-sa)
Mic Kiribati te- ‘one’ (attributive)
Mic Marshallese ci- ‘one’
Mic Chuukese ēt ‘one’ (serial; < *tai-sa)
Mic Chuukese e-, i- ‘one’ (attributive)
Mic Puluwatese ye- ‘one’ (attributive)
Mic Woleaian yet ‘one’ (serial; < *tai-sa)
Mic Woleaian se- ‘one’ (attributive)
Mic Ponapean ɛ̄t ‘one’ (serial; < *tai-sa)
Mic Ponapean e- ‘one’ (attributive)

4.1.3.2. *sakai and *takai

The morph *kai ‘one’ is fairly widely recorded with and without extensions in Western Oceanic languages: e.g. NNG: Takia kai-k; Apalik ke; Poeng ke-na; PT: Tawala e-mosi; Duau kai-geda; MM: Tigak kai; Babatana kə-ke; Roviana kɛ-ke (attributive); Kokota kaike ‘one’ (attributive) (cf. also *kai-sa; §14.4.1.3.3).

The two sets immediately below, *sa-kai and *ta-kai, appear to be parallel extensions of *sa and *ta (§14.4.1.1). They are not assigned here to POc, as multiple independent origins are possible.

*sa-kai ‘one’

Proto Bwaidoga *sa-qe-ana ‘one’
PT Iduna saʔey(ana), sey(ana) ‘one’ (< Proto Bwaidoga *sa-qe-ana)
MM Lavongai sikei ‘one’ (SERIAL and ATTRIBUTIVE)
MM East Kara saɣa ‘one’
TM Asuboa saka ‘one’
NCal Xârâgurè ʃaxā ‘one’
PSES *sa-kai ‘one’ (attributive)
SES Bugotu sikei ‘one’; ‘any, other’ (ATTRIBUTIVE)
SES Lengo sakai ‘one’
SES Tolo cika, cikai ‘one’
SES Longgu teʔe ‘one’ (ATTRIBUTIVE)
SES To’aba’ita teʔe ‘one’ (ATTRIBUTIVE)
SES Kwaio teʔe ‘one’ (ATTRIBUTIVE)
SES ’Are’are taʔai ‘one’
NCV Tape (i)sig ‘one’
NCV Southwest Bay (i)siʔ ‘one’
NCV Namakir siki(tek) ‘one’
Proto Efate *si-kai ‘one’
NCV Nguna sikai ‘one’
NCV Lelepa skei ‘one’
NCV South Efate (i)skei ‘one’
SV Utaha soɣoi ‘one’

*ta-kai ‘one’; ‘other’

NNG Dami taka(le) ‘one’
NNG Medebur taka-na ‘one’
NNG Medebur taka(raka) ‘other’
NNG Kairiru taka(naŋ) ‘other’
NNG Zenag tika ‘one’
NNG Piu tika ‘one’
PT Nimoa -tia ‘one’
MM Label takai ‘one’
MM Tolai tikai ‘one’
MM Tangga tika, tike ‘one’ (SERIAL; Maurer 1966:74)
NCV Naha’ai (i)tɛx ‘one’
NCV Avok -ciki(nene) ‘one’
NCV Nasvang (i)cigai ‘one’
NCal Ajië rāxã̄ ‘one’
NCal Ôrôe rakẽ ‘one’

4.1.3.3. *kaisa

*kai ‘one’ and its extensions are mentioned in §14.4.1.3.2. One of these forms, *kai-sa, meets the ‘widely enough attested’ criterion (§14.4.1.3). Like *sakai and *takai, and for the same reason, it is not assigned to POc.

*kai-sa ‘one’ (serial)

NNG Aria kesa ‘one, some’
PT Are kesa(na) ‘one’
MM Tabar kes ‘one’
MM Madak kes ‘one’
MM Sursurunga kes ‘one’
MM Torau kāsa ‘one’
MM Gao kahe(ni) ‘one’
MM Maringe kaise(i) ‘one’ (ATTRIBUTIVE)
MM Maringe keha ‘one’ (SERIAL)
PSES *kesa ‘one’ (serial)
SES Bugotu keha ‘one’ (SERIAL)
SES Gela keza ‘one’
SES Ghari kesa ‘one’
SES Longgu eta ‘one’ (SERIAL)
SES To’aba’ita eta ‘one’ (SERIAL)
SES Arosi eta ‘one’ (SERIAL)
SES Owa eta(ɣai) ‘one’
TM Natügu esə ‘one’

4.2. From two to five⇫

The inherited decimal numerals from 2 to 5 are reflected in so many Oceanic languages that a cognate set of several pages could be mustered for each. Since reconstruction is straightforward, only a sample from each small language group is given in the interests of space.

4.2.1. Two⇫

Below are reflexes of POc *rua ‘2’.

PAn *duSa ‘2’ (ACD)
PMP *duha ‘2’ (ACD)
POc *rua ‘2’ (ACD)
Yap Yapese ruw ‘2’
Adm Mussau lua ‘2’ (SERIAL)
Adm Seimat hũõ-hu ‘2’
Adm Aua (e)rua(i) ‘2’
Adm Lou rue(p) ‘2’ (-p < POc *pua- DEFAULT CLASSIFIER)
Adm Ponam luo(f) ‘2’ (-f < POc *pua- DEFAULT CLASSIFIER)
SJ Kayupulau to(ti) ‘2’
NNG Gitua rua ‘2’
NNG Mangap ru ‘2’
NNG Mengen lua ‘2’
NNG Bilibil ru ‘2’
NNG Manam (o)ru ‘2’
NNG Bukawa lú ‘2’
NNG Mapos Buang lu ‘2’
NNG Numbami luwa ‘2’
PT Sudest -iwɔ ‘2’
PT Kilivila -yu ‘2’
PT Dobu (ʔe)rua ‘2’
PT Gapapaiwa rua ‘2’
PT Motu rua ‘2’
MM Vitu rua ‘2’
MM Tabar lua ‘2’
MM Sursurunga ru ‘2’
MM Tangga u ‘2’
MM Minigir (i)ruə ‘2’
MM Petats (hua)lu ‘2’ (hua- < POc *pua- DEFAULT CLASSIFIER)
MM Mono-Alu (e)lua ‘2’
MM Vaghua (ka)rua ‘2’ (ka- < POc *ka- ATTRIBUTIVE)
MM Roviana (ka)rua ‘2’ (ka- < POc *ka- ATTRIBUTIVE)
SES Gela rua ‘2; a partner’
SES To’aba’ita rua ‘2’ (SERIAL)
TM Äiwoo (li)lu ‘2’
TM Buma (ti)lu ‘2’
NCV Loh (vi)ruə ‘2’ (vi- < POc *pua- DEFAULT CLASSIFIER)
NCV Ambae rue ‘2’
NCV Raga rua ‘2’
NCV Araki (mo)rua ‘2’ (mo- REALIS 3SG SUBJECT)
NCV Daakaka lo ‘2’
NCV Paamese (e)lu ‘2’
NCV Neverver (i)ru ‘2’ (i- REALIS 3SG SUBJECT)
NCV Unua (ɣe)ru ‘2’ (ɣe- < POc *kai- CLASSIFIER)
NCV Lewo lua ‘2’
NCV Lelepa rua ‘2’
SV Sye (dru)ru ‘2’
SV Kwamera (kə)ru ‘2’ (kə- < POc *ka- ATTRIBUTIVE)
SV Anejom̃ (e)rou ‘2’
NCal Dehu lue ‘2’
NCal Nêlêmwa -ru ‘2’ (with prefixed classifier)
Mic Nauruan (a)ro, (a)ru- ‘2’
Mic Kosraean luo ‘2’ (incorporating default classifier)
Mic Kiribati uā ‘2’ (SERIAL)
Mic Kiribati ua- ‘2’ (with suffixed classifier)
Mic Woleaian ẓʉw ‘2’ (SERIAL)
Mic Woleaian ẓʉwa-, ẓʉwe- ‘2’ (with suffixed classifier)
Fij Wayan rua ‘2’
Pn Tongan ua ‘2’
Pn Samoan lua ‘2’
Pn Rennellese gua ‘2; second; twice’
Pn Hawaiian lua ‘2, second, secondary, twice; companion’
Pn Mangarevan lua ‘2, second, secondary, twice; companion’

Formosan data in Li (2006) show that PAn formed numerals used with human beings by *Ca- reduplication. There are indications that this survived into POc.

PAn *da-duSa ‘two, of people’ (ACD)
POc *ra-rua ‘two, of people’ (ACD)
NNG Takia raru ‘2’
PT Motu rarua ‘2, of persons’
SV Southwest Tanna (kəlikəlip kə)lalu ‘7’ (i.e. 5 + 2)

4.2.2. Three⇫

Below are reflexes of POc *tolu ‘3’. Motu ta-toi ‘3 (of people)’ appears to reflect POc *ta-tolu (< PAn *ta-telu; ACD) ‘3 (of people)’, but there are no other known Oceanic reflexes.

PAn *telu ‘3’ (ACD)
POc *tolu ‘3’ (ACD)
Yap Yapese ðali-p ‘3’
Adm Mussau tolu ‘3’ (SERIAL)
Adm Seimat tolu ‘3’
Adm Aua olu(ai) ‘3’
Adm Lou tılı(p) ‘3’ (-p < POc *pua- DEFAULT CLASSIFIER)
Adm Ponam talo(f) ‘3’ (-f < POc *pua- DEFAULT CLASSIFIER)
SJ Kayupulau toru ‘3’
NNG Gitua tolu ‘3’
NNG Mangap tɛl ‘3’
NNG Bilibil toli ‘3’
NNG Manam toli ‘3’
NNG Bukawa tǿ ‘3’
NNG Mapos Buang lɔ̄ ‘3’
NNG Numbami toli ‘3’
PT Sudest -tɔ ‘3’
PT Kilivila -tolu ‘3’
PT Dobu (ʔe)toi ‘3’
PT Are tonu ‘3’
PT Motu toi ‘3’
MM Vitu tolu ‘3’
MM Lavongai (a)tol ‘3’
MM Tabar tour ‘3’
MM Sursurunga tul ‘3’
MM Tangga tul ‘3’
MM Minigir (u)tulu ‘3’
MM Papapana (tau)tonu ‘3’ (tau- < POc *tau- HUMAN CLASSIFIER)
MM Sisiqa tulu ‘3’
MM Maringe tilo ‘3’
SES Bugotu tolu ‘3’
SES Birao tolu ‘3’
SES To’aba’ita ulu ‘3’ (SERIAL)
TM Natügu tʉ ‘3’
TM Buma (te)te ‘3’
NCV Loh (və)təl ‘3’ (və- < POc *pua- DEFAULT CLASSIFIER)
NCV Ambae tolu ‘3’
NCV Raga tolu ‘3’
NCV Araki (mo)rolu ‘3’ (mo- REALIS 3SG SUBJECT)
NCV Daakaka sī ‘3’
NCV Paamese (e)tel ‘3’
NCV Neverver (i)tl ‘3’ (i- REALIS 3SG SUBJECT)
NCV Unua (ɣe)teɾ ‘3’ (ɣe- < POc *kai- CLASSIFIER)
NCV Lewo telu ‘3’
NCV Lelepa tolu ‘3’
SV Sye (dre)hel ‘3’
SV Kwamera (ka)har ‘3’ (ka- < POc *ka- ATTRIB)
SV Anejom̃ (e)seɣ ‘3’
NCal Nêlêmwa -xan ‘3’ (with prefixed classifier)
NCal Dehu köni ‘3’
Mic Kosraean tol(u) ‘3’ (with default classifier)
Mic Kiribati tēn ‘3’ (SERIAL)
Mic Kiribati teni- ‘3’ (with suffixed classifier)
Mic Ponapean (e)sil ‘3’ (SERIAL)
Mic Ponapean sili- ‘3’ (with suffixed classifier)
Mic Woleaian yēl ‘3’ (SERIAL)
Mic Woleaian yēri- ‘3’ (with suffixed classifier)
Fij Wayan tolu ‘3’
Pn Tongan tolu ‘3’
Pn Samoan tolu ‘3’
Pn Rennellese togu ‘3’
Pn Hawaiian kolu ‘3’
Pn Mangarevan toru ‘3’

4.2.3. Four⇫

The numeral for ‘4’, POc *pat, reflects the loss of initial PMP *e- [ə-], reducing it to a single syllable. There were very few monosyllabic roots in POc, and this probably explains the emergence of the disyllabic doublet PEMP/POc *pati. John Lynch (pers. comm., 8 October 2020) found languages of northwest Malakula where reflexes of both co-occur in revealing contexts. The numerals 2–4 and 7–9 in Tape are as follows:

i-ru ‘2’ ci-ru ‘7’
i-təl ‘3’ ci-təl ‘8’
i-ves ‘4’ ce-vet ‘9’

When the base-5 system emerged (see ch. 15), Lynch suggests, two forms coexisted: a reflex of *pati and a reflex of *pat, conjoined to the ancestor of ce- to form ‘9’, and thus avoiding monosyllabicity. Hence Tape -ves reflects *pati and -vet reflects *pat. When the base-5 system was created, i- had not yet been prefixed. It was presumably a 3sg pronominal, reflecting a stage when numerals were verbs (§14.4). Lynch also draws attention to Big Nambas -ð̼a ‘4’ and -sa-ð̼et ‘9’, with a history similar to that of Tape -ves and -vet.

Among the reflexes of *pat below, Mussau, Numbami, Dobu, Vitu and Drehu each regularly add a vowel after a final POc consonant, rendering the reflex disyllabic. Ponam, Tungak, Tabar, Äiwoo, Buma, Sye, Lenakel, Kwamera and Nêlêmwa all add one or more syllables of varying origin. The history of the remaining reflexes of *pat remains a matter of conjecture.

PAn *Sepat ‘4’ (ACD)
PMP *epat ‘4’ (ACD)
PEMP *pat ‘4’ (ACD)
POc *pat ‘4’ (Lynch 1977b)
Adm Mussau ata ‘4’ (serial)
Adm Wuvulu fa ‘4’
Adm Ponam fa(f) ‘4’ (-f < POc *pua- DEFAULT CLASSIFIER)
NNG Bukawa há(lè) ‘4’
NNG Numbami wata ‘4’
PT Nimoa -pat ‘4’
PT Dobu ata ‘4’
MM Vitu vata ‘4’
MM Lavongai (a)puat ‘4’
MM Tabar (vo)vet ‘4’
MM Sursurunga hat ‘4’
TM Äiwoo (u)væ ‘4’
TM Buma (te)va ‘4’
SV Sye (dr)vat ‘4’
SV Lenakel (ku)vər ‘4’ (ku- < POc *ka- ATTRIBUTIVE)
SV Kwamera (ke)fa ‘4’ (ke- < POc *ka- ATTRIBUTIVE)
NCal Nêlêmwa -vāk ‘4’ (with prefixed classifier)
NCal Dehu eke ‘4’
Mic Nauruan a- ‘4’ (with suffixed classifier)
Mic Ponapean pā- ‘4’ (with suffixed classifier)
Fij Wayan vā ‘4’
Pn Tongan fā ‘4’
Pn Samoan fā ‘4’
Pn Rennellese hā ‘4’
Pn Hawaiian hā ‘4’
Pn Mangarevan ʔa ‘4’

A number of the reflexes of *pati below reflect the unsurprising fact that at various times and places reflexes of *pati have displaced those of *pat.

PCEMP *pati ‘4’ (ACD)
POc *pati ‘4’ (ACD; PEOc: Pawley 1972)
NNG Bilibil pali ‘4’
NNG Manam wati ‘4’
PT Sudest -varɨ ‘4’
PT Kilivila -vasi ‘4’
PT Duau -hasi ‘4’
PT Bohutu fati ‘4’
PT Sinaugoro vasi-vasi ‘4’
MM Tangga fet ‘4’
MM Minigir (i)vati ‘4’
MM Taiof fac ‘4’
MM Banoni (to)vaci ‘4’ (to- < POc *tau- HUMAN CLASSIFIER)
MM Mono-Alu (e)hati ‘4’
MM Vaghua (ka)vac ‘4’ (ka- < POc *ka- ATTRIBUTIVE)
MM Sisiqa vati ‘4’
MM Maringe fati ‘4’
SES Bugotu vati ‘4’
SES Birao vati ‘4’
SES To’aba’ita fai ‘4’ (SERIAL)
NCV Loh (və)vɛt ‘4’ (və- < POc *pua- DEFAULT CLASSIFIER)
NCV Mwotlap (vı)vɛt ‘4’ (vı- < POc *pua- DEFAULT CLASSIFIER)
NCV Ambae vesi ‘4’
NCV Raga vasi ‘4’
NCV Merei vat, vati ‘4’
NCV Daakaka vyer ‘4’
NCV Paamese (e)hat ‘4’
NCV Uripiv (i)vij ‘4’
NCV Neverver (i)vas ‘4’ (i- REALIS 3SG SUBJECT)
NCV Unua (ɣe)vec ‘4’ (ɣe- < POc *kai- CLASSIFIER)
NCV Lewo vari ‘4’
NCV Lelepa pati ‘4’
SV Southwest Tanna (ku)as ‘4’ (ku- < POc *ka- ATTRIBUTIVE)
Fij Wayan vati- [PAUCAL PREFIX] (e.g. vati-keta ‘a few of us’)

POc *paŋi ‘4’ appears to be a variant of POc *pati above, of unknown etiology. Motu has a reduplicated form ha-hani ‘4, of persons’, formed by analogy with ra-rua ‘2, of persons’ and ta-tolu ‘3, of persons’ above.

POc *paŋi ‘4’
NNG Gitua paŋe ‘4’
NNG Mangap paŋ ‘4’
NNG Apalik peŋ ‘4’
PT Motu hani ‘4’
PT Gabadi vani ‘4’
Mic Kosraean æŋ ‘4’ (SERIAL)
Mic Kosraean æ- ‘4’ (with suffixed classifier)
Mic Kiribati aŋ ‘4’ (SERIAL)
Mic Kiribati a- ‘4’ (with suffixed classifier)
Mic Mokilese (ɔ)pɔŋ ‘4’ (SERIAL)
Mic Ponapean (ɛ)pɛŋ ‘4’ (SERIAL)
Mic Woleaian faŋi ‘4’ (SERIAL)
Mic Woleaian fā- ‘4’ (with suffixed classifier)

4.2.4. Five⇫

Terms for ‘5’ in Oceanic languages are usually derived from terms for ‘hand, arm’. The most frequently reflected POc term is *lima, which meant ‘5; hand, arm’ (vol.5:160–161). The colexification of the two concepts had survived from PAn and reflects much earlier digit-tallying (probably pre-PAn) than the early Oceanic practice described in §15.2. Reflexes of *lima are listed below.

The reflexes listed under *lima are all regular, including those that reflect *l- as n- or zero. The notes in parentheses after the items below show that in some languages the two forms have diverged phonologically.15 But some instances of divergence are of another kind. POc also had a variant *nima ‘5; hand, arm’ (vol.5:160) Its reflexes are listed separately below. It seems, though, that in scattered languages *lima remained as ‘5’, whilst the *nima variant became ‘hand, arm’. See Mussau, Sudest, Tangga and Äiwoo below. The intriguing feature of the divergences is that it is the term ‘hand, arm’ that has changed, not the term for ‘5’, presumably due to homophony avoidance.

PAn *lima ‘five, hand’ (ACD)
POc *lima ‘five’ (ACD)
Adm Mussau lima ‘5’ (serial; cf nima ‘hand, arm’)
Adm Ponam lime(f) ‘5’ (-f < POc *pua- DEFAULT CLASSIFIER)
SJ Sobei dim ‘5’ (cf ima ‘hand, arm’)
NNG Bariai lima ‘5’
NNG Mangap lama(ta) ‘5’
NNG Aria (e)lme ‘5’ (cf lim-la [hand-3SG] ‘her/his hand’)
NNG Mengen lima ‘5’
NNG Manam lima ‘5’ (cf luma- ‘hand, arm’)
NNG Bukawa lím(dàŋ) ‘5’ (dàŋ ‘1’)
PT Sudest -lima ‘5’ (cf nima- ‘hand, arm’)
PT Kilivila -lima ‘5’ (cf yama- ‘hand, arm’)
PT Dobu nima ‘5’ (cf nima- ‘hand, arm’)
PT Are nima (masiana) ‘5’ (cf nima- ‘hand, arm’)
PT Sinaugoro ima ‘5’ (cf ɣima- ‘hand, arm’)
PT Motu ima ‘5’ (cf ima- ‘hand, arm’)
MM Vitu lima ‘5’ (cf lima- ‘hand, arm’)
MM Lavongai (palpa)lima ‘5’
MM Tabar (napari)riem ‘5’ (cf rima- ‘hand, arm’)
MM Sursurunga lim ‘5’
MM Tangga lim ‘5’ (cf nima- ‘hand, arm’)
MM Minigir (i)limə ‘5’ (cf lima- ‘hand, arm’)
MM Petats (to)lim ‘5’ (to- < POc *tau- HUMAN CLASSIFIER; cf walima- ‘hand’)
MM Banoni (ɣi)nima ‘5’ (numa- ‘hand, arm’)
MM Mono-Alu līma ‘5’ (ime- ‘hand, arm’)
MM Sisiqa ləma ‘5’
MM Roviana lima ‘5’ (cf lima- ‘hand, arm’)
MM Maringe (fa)lima ‘5’ (serial; fa- < POc *fa- ORDINAL)
SES Bugotu lima ‘5’ (cf lima- ‘hand, arm’)
SES Birao lima ‘5’ (cf lima- ‘hand, arm’)
SES To’aba’ita lima ‘5’ (serial)
TM Äiwoo (vi)li ‘5’ (cf ñimæ ‘her/his hand’)
TM Buma (ti)li ‘5’
NCV Loh (təvɛ)limə ‘5’
NCV Mwotlap (tɪvɪ)lɪm ‘5’
NCV Ambae lime ‘5’ (cf lima- ‘hand, arm’)
NCV Raga lima ‘5’ (cf lima- ‘hand, arm’)
NCV Merei lima ‘5’
NCV Araki lin̼a ‘5’ (cf lima- ‘hand, arm’)
NCV Daakaka lim ‘5’
NCV Paamese (e)lim ‘5’
NCV Uripiv (e)lim ‘5’
NCV Neverver (i)lim ‘5’ (i- REALIS 3SG SUBJECT)
NCV Unua (ɣe)rima ‘5’ (ɣe- < POc *kai- CLASSIFIER)
NCV Lewo lima ‘5’ (cf lima- ‘hand, arm’)
NCV Lelepa lima ‘5’
SV Sye (suk)rim ‘5’
SV Kwamera (kə)ri-rum ‘5’ (kə- < POc *ka- ATTRIB; cf rɨŋi- ‘hand, arm’)
NCal Nêlêmwa -nem ‘5’ (with prefixed classifier)
NCal Cèmuhî ním ‘5’
Mic Nauruan (ai)yime(o) ‘5’
Mic Kiribati nīma ‘5’ (SERIAL)
Mic Kosraean lʌm ‘5’ (SERIAL)
Mic Ponapean lim ‘5’ (SERIAL; cf lime- ‘hand, arm’)
Mic Ponapean lima- ‘5’ (with suffixed classifier)
Mic Woleaian rim ‘5’ (SERIAL; cf rima- ‘hand, arm’)
Mic Woleaian rima- ‘5’ (with suffixed classifier)
Fij Bauan lima ‘5’ (cf liŋa- ‘hand, arm’)
Fij Wayan lima ‘5’ (SERIAL; cf -lima ‘hand, arm’)
Pn Samoan lima ‘5; hand, arm’
Pn Rennellese gima ‘5; hand, arm’
Pn Hawaiian lima ‘5; hand, arm’
Pn Mangarevan rima ‘5; hand, arm’

The reflexes of *nima below all reflect both senses: ‘5’ and ‘hand, arm’. The North New Guinea items all reflect *nima as ‘hand’ in the context of a digit-tally system (chapter 15), and thus reflect more recent adoptions of *nima as ‘5’. For this reason, POc *nima is not reconstructed with the sense ‘5’.

POc *nima- ‘hand, arm’ (vol.5:160)
NNG Gitua nima(da sirip) ‘5’ (nima- ‘hand’; -da ‘our’)
NNG Bilibil nima(-nta) ‘5’ (nima- ‘hand’; -nta ‘our’)
NNG Mapos Buang nəma(d-vaʁi) ‘5’ (vaʁi ‘a side’)
NNG Numbami nima (teula) ‘5’ (teula ‘one side’)
SV Anejom̃ nicma(n) ‘5’ (cf nicma- ‘hand, arm’)
Pn Tongan nima ‘5; hand’

Motu la-ima ‘5 (of people)’ reflects POc *la-lima (< PAn *la-lima) ‘5 (of people)’, but there are no other known Oceanic reflexes.

4.3. From six to nine⇫

Since numerous languages in NW Melanesia and Vanuatu have systems that include base-5, i.e. they count ‘5 + 1’ for ‘6’ etc (§15.7), there are fewer reflexes of inherited decimal 6–9 than of 2–5.

Misima (PT) provides an unexplained phenomenon visible in the cognate sets below. It uses its reflexes of the POc forms *onom ‘6’, *pitu ‘7’ and *siwa ‘9’ for the ‘wrong’ numbers: Misima e-won ‘7’, e-pit ‘8’, e-siwa ‘6’. The origin of e-wata ‘9’ is unclear: it may reflect ‘4’, from an old 5 + 4 term.

4.3.1. Six⇫

PAn *enem ‘6’ (ACD)
POc *onom ‘6’ (ACD)
Adm Mussau [o]nomo ‘6’ (serial)
Adm Baluan (ŋ)ono- ‘6’ (with suffixed classifier)
Adm Ponam ono-f ‘6’ (-f < POc *pua- DEFAULT CLASSIFIER)
PT Sudest -wɔna ‘6’ (with prefixed classifier)
MM Nakanai (i)uolo ‘6’
MM Notsi (archaic) wən ‘6’
MM Sursurunga won ‘6’
MM Tangga on ‘6’
MM Label uono ‘6’
MM Petats (to)nom ‘6’ (to- < POc *tau- HUMAN CLASSIFIER)
MM Mono-Alu onomo ‘6’
MM Sisiqa onomo ‘6’
MM Roviana onomo ‘6’
MM Maringe (fa)mno ‘6’ (SERIAL)
SES Bugotu ono ‘6’
SES Birao ono ‘6’
SES To’aba’ita ono ‘6’
SES Owa ono ‘6’
TM Buma (tu)o ‘6’
NCV Raga ono ‘6’
NCV Ambae ono ‘6’
NCV Nokuku on ‘6’
NCV Nese (ɣ)on ‘6’
Mic Kosraean on ‘6’ (SERIAL)
Mic Kosraean on- ‘6’ (with suffixed classifier)
Mic Kiribati ono- ‘6’ (with suffixed classifier)
Mic Ponapean (o)un ‘6’ (SERIAL)
Mic Ponapean wɛnɛ- ‘6’ (with suffixed classifier)
Mic Woleaian wor ‘6’
Mic Woleaian woro-, wore- ‘6’ (with suffixed classifier)
Fij Wayan ono ‘6’
Pn Tongan ono ‘6’
Pn Samoan ono ‘6’
Pn Rennellese ono ‘6’
Pn Mangarevan ono ‘6’

4.3.2. Seven⇫

One ‘irregularity’ occurs in the cognate set reflecting POc *pitu ‘7’. Buma (TM) and a number of N Vanuatu languages reflect *bitu rather than *pitu (Clark 2009:59, 83).

PAn *pitu ‘7’ (ACD)
POc *pitu ‘7’ (ACD)
Adm Mussau itu ‘7’ (SERIAL)
PT Sudest -pirɨ ‘7’ (with prefixed classifier)
PT Misima (e)pit ‘8’ (sic)
PT Motu hitu ‘7’
MM Nakanai -vitu ‘7’
MM Notsi (archaic) it ‘7’
MM Sursurunga hit ‘7’
MM Tangga fis ‘7’
MM Petats (to)hit ‘7’ (to- < POc *tau- HUMAN CLASSIFIER)
MM Mono-Alu hitu ‘7’
MM Sisiqa vɛttu ‘7’
MM Nduke vitu ‘7’
MM Maringe fitu ‘7’ (SERIAL)
SES Bugotu vitu ‘7’
SES Birao vitu ‘7’
SES To’aba’ita fiu ‘7’
SES Owa piu ‘7’
TM Buma (ti)bi ‘7’
NCV Raga ᵐbitu ‘7’
NCV Ambae bitu ‘7’
NCV Nokuku pit ‘7’
NCV Nese (ɣo)dit ‘7’
Mic Kosraean it ‘7’ (SERIAL)
Mic Kosraean it- ‘7’ (with suffixed classifier)
Mic Kiribati iti ‘7’ (SERIAL)
Mic Kiribati itu-, iti- ‘7’ (with suffixed classifier)
Mic Ponapean isi ‘7’ (SERIAL)
Mic Ponapean isu- ‘7’ (with suffixed classifier)
Mic Woleaian fis ‘7’ (SERIAL)
Mic Woleaian fisu- ‘7’ (with suffixed classifier)
Fij Wayan vitu ‘7’
Pn Tongan fitu ‘7’
Pn Samoan fitu ‘7’
Pn Rennellese hitu ‘7’
Pn Mangarevan ʔitu ‘7’

4.3.3. Eight⇫

PAn *walu ‘8’ (ACD)
POc *walu ‘8’
Adm Mussau ualu ‘8’ (SERIAL)
PT Sudest -wa ‘8’ (with prefixed classifier)
MM Nakanai (i)valu ‘8’
MM Notsi (archaic) wan ‘8’
MM Sursurunga wal ‘8’
MM Tangga wal ‘8’
MM Label wal ‘8’
MM Petats (to)al ‘8’ (to- < POc *tau- HUMAN CLASSIFIER)
MM Mono-Alu alu ‘8’
MM Ririo zɔl ‘8’ (z- is accreted before an initial vowel)
MM Ughele alu ‘8’
SES Bugotu alu ‘8’
SES Birao alu ‘8’
SES To’aba’ita kʷalu ‘8’
SES Owa waru ‘8’
TM Buma (tu)wa ‘8’
NCV Raga vʷelu ‘8’
NCV Ambae welu ‘8’
NCV Nokuku ɒlo ‘8’
NCV Nese (ɣ)oal ‘8’
Mic Kosraean ɒl ‘8’ (SERIAL)
Mic Kosraean ɒl- ‘8’ (with suffixed classifier)
Mic Kiribati wani ‘8’ (SERIAL)
Mic Kiribati wanu- ‘8’ (with suffixed classifier)
Mic Ponapean (ɛ)wɛl ‘8’ (SERIAL)
Mic Ponapean walu- ‘8’ (with suffixed classifier)
Mic Woleaian war ‘8’ (SERIAL)
Mic Woleaian wari- ‘8’ (with suffixed classifier)
Fij Wayan walu ‘8’
Pn Tongan valu ‘8’
Pn Samoan valu ‘8’
Pn Rennellese bagu ‘8’
Pn Mangarevan waru ‘8’

4.3.4. Nine⇫

By regular sound change PAn *Siwa would have become PMP *(h)iwa, but, for reasons discussed by Blust (1995c, 2013:728), *Siwa instead became PMP *siwa the form that was inherited by POc.

PAn *Siwa ‘9’ (ACD)
POc *siwa ‘9’
Adm Mussau sio ‘9’ (SERIAL)
PT Sudest -siwɔ ‘9’ (with prefixed classifier)
MM Bulu rio ‘9’
MM Notsi (archaic) ciu ‘9’
MM Sursurunga siu ‘9’
MM Tangga siw ‘9’
MM Petats (to)sia ‘9’ (to- < POc *tau- HUMAN CLASSIFIER)
MM Banoni visa ‘9’ (metathesis)
MM Mono-Alu ulia ‘9’
MM Sisiqa zia ‘9’
MM Roviana sia ‘9’
MM Maringe heva ‘9’ (SERIAL)
SES Bugotu hia ‘9’
SES Birao siu ‘9’
SES To’aba’ita sikʷa ‘9’
SES Owa siwa ‘9’
TM Nebao (wa)hia ‘9’
NCV Raga sivo ‘9’
NCV Ambae siwo ‘9’
NCV Nokuku ciwa ‘9’
NCV Nese (ɣɛ)sve ‘9’
Mic Kosraean yʌ ‘9’
Mic Kiribati rua-, ruai- ‘9’ (with suffixed classifier)
Mic Ponapean (a)tu ‘9’ (SERIAL)
Mic Ponapean tuwa- ‘9’ (with suffixed classifier)
Mic Woleaian tiw ‘9’
Mic Woleaian tiwo- ‘9’ (with suffixed classifier)
Fij Wayan ðiwa ‘9’
Pn Tongan hiva ‘9’
Pn Samoan iva ‘9’
Pn Rennellese iba ‘9’
Pn Hawaiian iwa ‘9’
Pn Mangarevan iva ‘9’

4.3.5. Subtractive numerals 6–9⇫

A few languages with a decimal system form the numerals 7–9 subtractively, i.e. 10–3, 10–2, 10–1. These languages are Yapese, all Eastern Admiralties languages, and Engdewo (TM). A sample is shown in Table 14.5. Final -p in Lou, final -f in Ponam and final -h[u] in Levei are the default classifier. Just one known language, Levei-Drehet, a pair of E Admiralties dialects, also has a subtractive numeral for 6.

Table 14.5 Languages in which 6-9 are formed subtractively
Proto Oceanic Yapese Lou (Adm) Ponam (Adm) Levei (Adm) Engdewo (TM)
1 (see §14.4.1) rēb si-p si ōri ɞte
2 *rua [lˀaɣa]ruw ruɪ-p luo-f luo la-lī
3 *tolu ðalip tɪlɪ-p talo-f tolo-h la-tǖ
4 *pat[i] ʔaniŋəɣ talot fa-f hā-hu lɒ-pʷɔ̄
5 *lima lāl mutan lime-f līme la-mɞp[u]
6 *onom nəlˀ ŋinio-p wono-f ja-hā-hu la-mɞtimou
7 (minus 3) mē-ðalip ŋane-seli-p aha-talo-f ja-dolo-h tu-m(u)-tǖ
8 (minus 2) mē-ruk ŋane-rue-p aha-luo-f ja-lue tu-m(u)-lī
9 (minus 1) mē-rēb ŋane-si-p aha-se ja-ʔeri tu-m(u)-ɞte
10 *sa-ŋapuluq raɣāɣ saŋaul _saŋu-f rono nɔpmu
Source: Jensen 1977 Stutzman 1994 Carrier 1981 Smythe 1975 Vaa 2013

4.4. Teens⇫

In Oceanic languages that have terms for the teens, i.e. ‘11’, ‘12’, ‘13’ and so on, these usually consist of the term for ‘10’, followed by the term for the digit, regardless of whether either or both are mono- or polymorphemic. In some languages an ‘and’ conjunction intervenes, in others not. No reconstruction of these forms is attempted.

4.5. Tens and hundreds⇫

The structure of POc terms for tens and hundreds is discussed in §14.3.1 as part of an examination of the structures in which numeral classifiers were used. Whereas the POc numerals from 1 to 9 each consisted of a single morpheme, the tens and hundreds shown in Table 14.1 were each made up of three morphemes with the structures *X-[ŋa-]puluq ‘X times 10’ and *X-[ŋa-]Ratus ‘X times 100’. It emerges that POc -puluq ‘unit of 10’ and -Ratus ‘unit of 100’ were multiplicative classifiers within the *NML ŋa CLF structure inherited from PMP. The structure was clearly at least somewhat productive in POc as it continued on into PPn, where apparently new members had been added to the set of classifiers, e.g. PEOc *-rau ‘unit of 100’ (§14.6.4).

4.5.1. Reconstructing forms for tens and hundreds⇫

The data reveal that in POc *sa= and *ŋa= were separate morphemes, but were being merged with the following classifier in some dialects by the time POc broke up, so that *-puluq was replaced as ‘unit of 10’ by a reflex of either *-ŋapuluq or *saŋapuluq, or occasionally *sapuluq.

Evidence that POc *-ŋa- was a separate morpheme is seen in §14.3.1, where its Tongan reflexes occur only sporadically with the numerals 2 and 3. Archaic Samoan (Mosel & Hovdhaugen 1992:117) provides similar evidence: -ŋa- is missing after se- ‘one’ and lua- ‘2’ but present from tolu- ‘3’ onward:

‘one’ ‘2’ ‘3’
tens: se-fulu lua-fulu tolu-ŋa-fulu
scores of coconuts: se-aea lua-aea tolu-ŋa-aea

The vast majority of Oceanic decimal systems reflect *sa-ŋa-puluq and *sa-ŋa-Ratus, but a small scattering of Western Oceanic languages reflects POc *sa-puluq ‘10’ and *sa-Ratus ‘100’, witnessing to the POc separability of *ŋa and to the possibility that the ancestral forms of ‘10’ and ‘100’ lacked *ŋa. The two sets below include all known reflexes.

PAn *sa-puluq ‘10’ (ACD)
POc *sa-puluq ‘unit of 10’
NNG Bukawa sàhúʔ ‘10’
MM Bola ravulu ‘10’
MM Nakanai savulu (sa) ‘10’ (sa ‘one’)
MM Meramera savulu (tasa) ‘10’ (tasa ‘one’)
MM Taiof (a) safunu ‘10’ (a SINGULAR ARTICLE)
MM Torau saunu ‘10’
cf. also:
MM Uruava avūru ‘10’
MM Mono-Alu lahulu ‘10’
MM Teop (peha) sāvun ‘10’ (peha ‘one’)
Pn Samoan se-fulu ‘10’
Pn Sikaiana se-hui ‘10’

Examples listed under ‘cf. also’ above are ‘false positives’: numerals that look as if they might reflect *sa-puluq but which on closer examination either probably or certainly don’t. Uruava avūru and Mono-Alu lahulu could reflect either *sapuluq or *saŋapuluq.16 Teop sāvun seems to reflect *sapuluq rather than *saŋapuluq, as Teop does not regularly lose *ŋ (but this does not explain long -ā-)

PMP *sa-Ratus ‘100’ (ACD)
POc *[sa]Ratus ‘100’
MM Nakanai salatu (sasa) ‘100’ (sasa ‘one’)
cf. also:
Proto Northwest Solomonic *ratus ‘100’
MM Solos natus ‘100’
MM Taiof natus ‘100’
MM Banoni raus ‘100’ (methathesis of †rasu)
MM Mono-Alu lātu ‘100’

Except for Bukawa, which is vigesimal from 20 upward, the languages that reflect *sa-puluq treat it as ‘unit of 10’, i.e. they have generalised it to all decades, as Table 14.6 shows.

Evidence that POc *sapuluq ‘10’ occurred alongside *saŋapuluq also includes the fact that some WMP languages reflect a contrast between cognates of *sa-puluq ‘10’ and *rua-ŋa-puluq ‘20’: Javanese sa=puluh but ro=ŋ puluh; Manggarai cə=pulu but sua m=pulu. A tempting inference is that *sa-puluq and *sa-Ratus were the original POc forms and that *sa-ŋa-puluq and *sa-ŋa-Ratus reflect an extension of the pattern of higher decades and centades to ‘10’. This may be so, but we do not know when this extension occurred: before POc or in POc?

At any rate, a large majority of Oceanic reflexes reflect the longer forms. The sets below are each just a sample of their reflexes. Certain groupings—North New Guinea, Papuan Tip and Micronesian—are ill-represented, and an area from Epi Island (NCV) southward embracing Efate, S Vanuatu and New Caledonia is not represented at all, because these languages have adopted a tally system and replaced *sa[ŋa]pulu by another lexical item (§15.8.2).

Table 14.6 Tens with the structures sapuluq + NUMERAL and NUMERAL + sapuluq
‘10’ ‘20’ ‘30’ ‘40’ ‘50’
MM: Willaumez Bola ravulu ravulu rua ravulu tolu ravulu va ravulu lima
MM: Willaumez Nakanai savulu sasa savulu lua savulu tolu savulu vā savulu lima
MM: Willaumez Meramera savulu tasa savulu lua savulu tolu savulu hiva savulu lima
MM: NWS Taiof a safunu fuan safunu fopis safunu fac safunu ŋim safunu
MM: NWS Torau saunu e-rua saunu [e-pisa]-saunu e-wati saunu nima saunu

PMP *sa ŋa puluq ‘10’ (ACD)
POc *sa ŋa puluq ‘10’
PAdm *saŋafulV ‘10’
Adm Mussau saŋaulu ‘10’
Adm Nauna saŋahul ‘10’
Adm Lou saŋaul ‘10’
Adm Loniu (ma)soŋon ‘10’
Adm Ponam saŋuf ‘10’
NNG Amara soŋoul ‘10’
NNG Kove saŋaulu ‘10’
NNG Mengen taŋauna (ta) ‘10’ (ta ‘one’)
SJ Sobei snafut ‘10’
PT Tubetube sanaulu ‘10’
PT Motu ahui ‘10’ (combination form)
MM Bali zaŋavuluku ‘10’
MM Tigak saŋaulu(ŋ) ‘10’
MM Notsi səŋəul ‘10’
MM Barok saŋaun ‘10’
MM Label saŋahulu ‘10’
MM Nehan haŋaulu ‘10’
SES Gela haŋavulu ‘10’
SES Lengo ðaŋavulu ‘10’
SES Longgu taŋavulu ‘10’
SES Lau taŋafulu ‘10’
SES Sa’a taŋahulu ‘10’
SES Arosi taŋahuru ‘10’
TM Buma saŋaulu ‘10’
NCV Mota saŋavul ‘10’
NCV Ambae haŋavulu ‘10’
NCV Raga haŋvulu ‘10’
NCV Apma (te)saŋʷul ‘10’
NCV Merei saŋavul ‘10’
NCV Daakaka sʊŋavi ‘10’
NCV Malua Bay səŋavəl ‘10’
NCV Unua saŋavör ‘10’
Mic Kosraean soŋuhul ‘10’
Fij Wayan saŋavulu ‘10’
Pn Tongan hoŋofulu ‘10’
Pn Rennellese aŋahugu ‘10’
Pn Rapanui aŋahuru ‘10’
PMP *sa ŋa Ratus ‘100’ (ACD)
POc *sa ŋa Ratus ‘100’
PAdm *saŋatV ‘100’
Adm Lou soŋot ‘100’
Adm Baluan soŋot ‘100’
Adm Ponam sa-ŋat ‘100’
Adm Sori-Harengan saŋaʔ ‘100’
Adm Bipi saŋakx ‘100’
PT Nimoa (Sabari) -saŋat ‘100’
PT Kilivila lakatu(tala) ‘100’ (for †lagayatu; tala ‘one’)
PT Muyuw lakatu(tan) ‘100’ (for †lagayatu; tan ‘one’)
SES Gela haŋalatu ‘100’
SES Lengo ðeŋetu ‘100’ (for †ðaŋalatu)
SES Longgu taŋalau ‘100’17
SES Sa’a taŋalau ‘100’18
SES Owa taŋarau ‘100’19
PChk *te-ŋa-ratʉ ‘1000’ (Bender et al. 2003a)
Mic Satawalese saŋaras ‘1000’
Mic Carolinian saŋaras ‘1000’
Mic Woleaian seŋeẓas ‘1000’
Mic Sonsorolese ðaŋaɭaði ‘1000’
Mic Ulithian seŋarase ‘1000’

The Chuukic (Mic) reflexes of *sa-ŋa-Ratus above are perhaps borrowed from an unknown source, as they mean ‘1000’ rather than ‘100’, and *R is more frequently lost than reflected as PMic *r. However, the change in power may be a result of the practice of counting tens of certain objects, e.g. piles of ten coconuts (see discussion under §14.6.3 below).

4.5.2. Early Oceanic developments affecting tens and hundreds⇫

Table 14.6 shows that languages that reflect *sa-puluq treat it as ‘unit of 10’, i.e. *sa- has lost its identity as a morpheme and has combined with *-puluq, generalising it to all decades. The crucial evidence for this comes from languages that have applied the CLF NML construction to tens and hundreds, giving numerals like Nakanai savulu lua.

A similar process affecting *ŋa puluq and other instances of *ŋa CLF is illustrated for Ponam in Table 14.3 and represents the situation throughout E Admiralty and Micronesian. Here fusion occurred first, so that the reflexes of *-ŋapuluq and *-ŋaRatus were treated as unitary classifiers, and the structure NML *ŋa CLF was thus reinterpreted as NML CLF. It was into this structure that other classifiers were then recruited. This process seems to have occurred in a good many early Oceanic dialects, with critical evidence from languages that then reversed NML CLF to CLF NML. Most such languages are N-C Vanuatu languages of the islands Ambae, south Pentecost, Santo, Ambrym and Malakula. Thus in Araki (south Santo) we find saŋavulu ‘10’ but ŋavul rua ‘20’, ŋavul rolu ‘30’ and so on.

Some early dialects took this process a step further and treated their reflex of *saŋapuluq as the ‘unit of ten’ morpheme. Examples are given in Table 14.7. Those in the upper part of the table, which have the structure NML + saŋapuluq, are found in scattered locations. Those in the lower part have the structure saŋapuluq + NML. They are also scattered, but particularly well represented in N-C Vanuatu, found in the Torres and Banks Islands, Maewo, north Pentecost and further south in southeast Malakula and Ambrym.20

Although the evidence above indicates that *sapuluq, *ŋapuluq and *saŋapuluq were each reinterpreted in various languages as a morpheme for ‘unit of 10’, there is nonetheless evidence that the PPn reflex *-fulu retained its function and that in this respect Polynesian is again a relic area. The Polynesian data are shown in Table 14.8.21 Ten itself and tens from 30 upward have the rua ŋapuluq template, but the term for 20 was PPn *rua-fulu, with the rua puluq template. Why the term for 20 is the odd one out is not clear, but Clark (1999) comments that PPn *rua-fulu ‘20’ and Samoan se-fulu ‘10’ indicate that PPn *fulu was analysable as ‘unit of 10’, again pointing to POc *puluq ‘unit of 10’.

Table 14.7 Tens with the structure numeral + saŋapuluq or saŋapuluq + numeral
‘10’ ‘20’ ‘30’ ‘40’ ‘50’
PT Dobu sanau rua sanau ʔeto sanau ata sanau …
MM Tiang səŋɨulu i-wal ə səŋɨulu u-tɨl ə səŋɨulu tal-at ə səŋɨulu pət-limə ə səŋɨulu
SES Lengo ðaŋavulu ruka ðaŋavulu tolo ðaŋavulu vati ðaŋavulu lima ðaŋavulu
SES Arosi taŋahuru rua taŋahuru oru taŋahuru hai taŋahuru rima taŋahuru
Fij Bauan [tini] rua saŋavulu tolu saŋavulu vā saŋavulu lima saŋavulu
NNG Lusi saŋaulu saŋaulu rua saŋaulu tolu saŋaulu paŋe saŋaulu lima
MM Vitu ðaŋavulu ðaŋavuluka rua ðaŋavuluka tolu ðaŋavuluka ðaŋavuluka lima
MM Notsi səŋəul səŋəul a-lue səŋəul a-tul səŋəul a-īt səŋəul a-lima
SES Kahua taŋafuru taŋafuru ne-rua taŋafuru ne-oru taŋafuru ne-fei taŋafuru ne-rima
NCV Hiw taŋʷuy taŋʷuy ʟɵ taŋʷuy tɵü taŋʷuy vɔt taŋʷuy təvə-üimə
NCV Mota saŋavul saŋavul rua saŋavul tol saŋavul vat saŋavul tove-lima
NCV Baetora saŋavulu saŋavulu rua saŋavulu tolu saŋavulu vati saŋavulu teve-lma
NCV Raga haŋvulu haŋvulu ɣai-rua haŋvulu ɣai-tolu haŋvulu ɣai-vasi haŋvulu ɣai-lima
NCV Port Vato sɔŋavi sɔŋavi va luə sɔŋavi va sie sɔŋavi va vier sɔŋavi va lim
NCV Maskelynes səŋavür səŋavür vaxa-ɾu səŋavür vaxa-to səŋavür vaxa-vat səŋavür vaxa-ɾim

Table 14.8 10–30 in PPn and some Polynesian languages
10 20 30
PPn (Clark 1999) *ha-ŋa-fulu *rua-fulu *tolu-ŋafulu
Tongan ho-ŋofulu uo-fulu tolu-ŋofulu
Niuean ho-ŋofulu ua-fulu tolu-ŋofulu
Samoan se-fulu lua-fulu tolu-ŋafulu
Niuafo’ou ho-ŋofulu lua-fulu, lua-ŋofulu tolu-ŋofulu

The evidence above thus indicates that reflexes of *puluq, *sapuluq, *ŋapuluq and *saŋapuluq all served as early Oceanic morphemes meaning ‘unit of 10’. The fact that there are far more reflexes of *ŋapuluq than of *puluq or *sapuluq can be attributed to the fact that *ŋapuluq played a much larger role in the number system, in 20 to 90, and that it was probably segmented out from the numerals for 30 to 90 at different times and places.

By the time of its break-up, i.e. the point at which innovations no longer affected all its dialects, POc was spoken over an area that included at least the Bismarck Archipelago and probably Buka, Bougainville and islands further to the southeast. Inevitably, there were dialect differences—differences that led to its split into Oceanic subgroups—and each of the four morphemes occurred in a different dialect range without impairing mutual intelligibility. There is one intriguing feature in the distribution of reflexes of these morphemes. N-C Vanuatu languages reflecting *saŋapuluq ‘unit of ten’ almost correspond areally with those reflecting *ŋapuluq, i.e. N-C Vanuatu numeral systems in this respect form a patchwork.

4.6. Thousands and above⇫

The reconstructed PMP term for a thousand is *Ribu (ACD). On this basis a POc term †*Ri(p,b)u might be expected, but the only candidate reflexes are Tolai (MM) arip (also borrowed into various New Ireland languages) and Kiribati (Mic) te-rebu (where te- is an article). But the regular Tolai reflex of POc †*Ri(p,b)u would be †ribu or †rivu, and the regular Kiribati reflex †ibu or †iu. Thus neither is a directly inherited reflex of PMP *Ribu.

Nonetheless languages in many different parts of Oceania have lexical items meaning ‘thousand’ and higher powers of ten (see §14.1.2). Most of these are local innovations with only a limited geographic distribution. Some, at least, were originally terms for ‘some’, ‘many’ or ‘all’ that have been co-opted into the numeral system, illustrated by the examples below.

POc *udolu ‘all, whole’ (PEOc: Pawley 1972)
NNG Bariai do-dol ‘whole’
NNG Mengen (ka)rolu ‘all’
NNG Wogeo udol ‘1000’ (Ross, fieldnotes); ‘200’ (Exter 2010)
NNG Kairiru wurol ‘100’
SES Bugotu udolu ‘all, whole, complete’
SES Gela udolu ‘all, whole, complete’
NCV Merlav (mel)dol ‘100’
NCV Mota nol ‘100’
NCV Maewo odolu ‘100’
NCV Raga vudolu(a) ‘100’
NCV Maewo (me)dolu ‘100’
NCV Apma wudelu ‘100’
NCV Ambae vudolue ‘100’
Fij Wayan udolu ‘1000’
Fij Bauan udolu ‘1000’
Pn Tongan (kita)utolu ‘we INCLUSIVE’ (-utolu pronominal plural suffix)

POc *tari ‘some’; ‘many, all’ (Proto Northern New Hebrides/Banks: Pawley 1972)
NNG Ali tar-tar ‘all’
NNG Sissano tar-tar ‘many’
PT Sinaugoro tari ‘some’
MM Patpatar tari ‘some’
SES Arosi (niu) tari ‘a million coconuts’ (cf Table 14.9)
NCV Loh tɛr ‘1000’
NCV Vurës tar ‘1000’
NCV Mwotlap tɛy ‘1000’
NCV Mota tar ‘1000’
NCV Merlav tar ‘1000’
NCV Sungwadaga tari ‘1000’
NCV Ambae teri ‘1000’
NCV Raga tari ‘1000’
NCV Maewo tari ‘1000’
NCV Ske (a)tar ‘1000’
NCV Sa tar ‘1000’
NCV Piamatsina tar ‘1000’
NCV Tangoa taɽi ‘1000’
NCV Mafea tar[a] ‘1000’
NCV Avava (a)tar ‘1000’
PMP *balu ‘some, some more’ (ACD)
POc *palu ‘some, a few’ (PEOc: Pawley 1972)
NNG Mengen palu ‘some’
NNG Uvol hɛl ‘some’
NNG Manam alu ‘some; others’
SES Gela balu ‘some, other’ (for †valu)
SES ’Are’are haru ‘a few, some, several’
SES Sa’a halu ‘some’
SES Arosi haru ‘some, certain’
NCV Mota valu ‘every, each’ (Pawley 1972)
NCV Maewo valu ‘1000’
Pn Niuean falu ‘some’ (Pawley 1972)

4.7. The interrogative numeral⇫

The interrogative numeral *pica ‘how many?’ is widely reflected in Oceanic. Typically its reflex in a given language occurs in any slot where a numeral may occur in that language. This means, among other things, that in a language with numeral classifiers the reflex of *pica may also cooccur with a classifier.

PAn *pijax ‘how many? how much?’ (ACD)
POc *pica ‘how many? how much?’
Adm Mussau (ɣa)isa ‘how many?’
Adm Seimat hil ‘how many?’
Adm Wuvulu fixa ‘how many?’
SJ Bongo fis-fis ‘how many?’
NNG Mangap pīzi ‘how many?’
NNG Maleu pia ‘how many?’
NNG Mengen pia ‘how many?’
NNG Gedaged pi ‘how many?’
NNG Manam ira ‘how many?, how much?’
NNG Numbami wisa ‘how many?’
PT Sudest -vie ‘how many’
PT Kilivila -vila ‘how many?’
PT Are biya(mo) ‘how many’
PT Saliba hisa ‘how many’
PT Magori vika ‘how many’
PT Sinaugoro vira ‘how many’
PT Motu hida ‘how many’
PT Mekeo pika ‘how many’
MM Vitu ðiva ‘how many?’ (metathesis)
MM Nakanai -riva ‘how many?, how much?’ (metathesis)
MM Tigak (po)isa-n ‘how many?’
MM Tabar visa ‘how many?’
MM Sursurunga is ‘how many?’
MM Tolai (ai)via ‘how many?, how much?’
MM Nehan (to)wiha ‘how many?’
MM Halia (so)his ‘how many?’
MM Babatana (ava)via ‘how many?’
MM Roviana (ka)visa ‘how many?’
MM Blablanga (n)iha ‘how many?’
SES Birao visa ‘how many?’
SES To’aba’ita fita ‘how many?, how much?’
SES Arosi siha ‘how many?’ (metathesis)
NCV Mota visa ‘how many?’
NCV Araki (mo)visa ‘how many?’
NCV Maewo visa ‘how many?’
NCV Raga (xai)fiha ‘how many?’
NCV Axamb (ŋa)vis ‘how many?’
NCV Paamese e-his ‘how many?’
SV Anejom̃ (e)heθ ‘how many?’
Mic Kiribati ira- ‘how many?’
Mic Chuukese fita- ‘how many?’ (used with suffixed counting classifiers)
Mic Woleaian fita- ‘how many? a few, some’
Fij Wayan viða ‘how many?, how much?’
Pn Tongan fiha ‘how many?, how much?’
Pn Samoan fia ‘be how many?; be how much?’
Pn Tuvalu fia ‘how many?’
Pn Tuvalu (toko)fia ‘how many? (of humans)’
Pn Rennellese hia ‘how many?, how much?’
Pn Hawaiian -hia ‘how many?, how much?’
Pn Māori hia~fia ‘how many?’

5. Reconstructing non-cardinal numerals⇫

As well as the cardinal functions described in §14.4, numerals perform a number of other functions:

  • ordinals specify membership in a sequence, e.g. ‘the third coconut’;
  • frequentative adverbs specify how many times some event occurs, e.g. ‘twice’, ‘three times’;
  • distributive adverbials to specify the size of groups, e.g. ‘three at a time’, ‘three by three’.

5.1. Ordinals⇫

Typically Oceanic languages have a dedicated term for ‘first’ that means something like ‘at the front’. No term is reconstructable.

Descriptions of various Oceanic languages tell us that they do not have dedicated ordinal numerals, but they do have a strategy for expressing position in a sequence. The most common strategy is to express ‘the third house’ as something like ‘the (number) three of the houses’. ‘Houses’ is thus the possessor of the numeral. In consequence many Oceanic languages form an ordinal by attaching a possessor suffix to the numeral, usually a suffix reflecting POc *-ña ‘P:3SG’. POc NML-*ña is thus the schematic reconstruction for an ordinal. That is, POc ordinals were *rua-ña ‘2nd’, *tolu-ña ‘3rd’ and so on. Typically, if a cardinal numeral occurs with a classifier or a fossil classifier, this is retained in the ordinal form, as the listing below shows.

POc *NML-ña ‘ordinal numeral form’
Adm Mussau [k,ɣ]a-NML-na ‘ordinal numeral form’
PT Kilivila CLF-NML-la ‘ordinal numeral form’
PT Muyuw kʷa-NML-n ‘ordinal numeral form’
PT Gumawana ai-NML-[i]na ‘ordinal numeral form’
PT Dobu ʔe-NML-na ‘ordinal numeral form’
PT Bunama ʔe-NML-na ‘ordinal numeral form’
MM Nakanai i-NML-la ‘ordinal numeral form’
MM Siar NML-n ‘ordinal numeral form’
SES Bugotu NML-ña ‘ordinal numeral form’
SES Gela NML-na ‘ordinal numeral form’
SES Talise NML-na ‘ordinal numeral form’
SES Lengo NML-e ‘ordinal numeral form’
SES Longgu NML-na ‘ordinal numeral form’
SES To’aba’ita NML-na ‘ordinal numeral form’
SES Kwaio NML-na ‘ordinal numeral form’
SES Arosi NML-na ‘ordinal numeral form’
SES Sa’a NML-na ‘ordinal numeral form’
NCV Raga ɣai-NML-na ‘ordinal numeral form’
NCV Daakaka NML-an ‘ordinal numeral form’
NCV Merei NML-i-na ‘ordinal numeral form’
NCV Tamambo NML-na ‘ordinal numeral form’
NCV Mafea a-NML-na (applies to 2-5)
NCV Mafea NML-na (applies to 3 upward)
NCV Neve’ei NML-n (applies to 2-5)

In some languages of Malakula the alienable possession structure is used instead. The numeral is followed by a reflex of *na-ña, which Pearce (2015) translates as ‘of it’ (*na- possessive classifier; *-ña p:3sg).

NCV Tirax NML na-n ‘NML of it’
NCV Avava itV-NML nan ‘NML of it’ (applies to 2-5; etymology of itV- is not known)
NCV Avava NML nan ‘NML of it’ (applies to 6 upward)
NCV Neve’ei NML-nen [NP] ‘NML of it’ (applies to 6 upward)
NCV Unua NML nen ‘NML of it’

The corresponding structure occurs in Kove (NNG):

    • Kove (NNG): (Sato 2012:197)
      ‘the third morning’
      voŋivoŋi tolu ai-a
      morning three P:3SG-PCL

The possessive noun phrase strategy for expressing ordinals continues into Fijian and Polynesian languages, in spite of the fact that Polynesian possessive morphosyntax is different from most non-Polynesian Oceanic languages. The Bauan in (19a), for example, means more literally ‘the (number) 3 of the children’.

    1. Bauan (Fij): (Wilson 1982:103)
      ‘the third child’
      na ke-na ika-tolu ni ŋone
      ART PCL-3SG ORDINAL-3 PREP child
    2. Tongan (Pn): (Wilson 1982:103)
      ‘the third hymn’
      h-o-no tolu ʔo e himi
      ART-PCL-3SG three PCL ART hymn
    3. Samoan (Pn): (Mosel & Hovdhaugen 1992:118)
      ‘the second bedroom’
      le potu-moe l-o-na lua
      ART room-sleep ART-PCL-3SG two
    4. Takuu (Pn): (Moyle 2011:35)
      ‘the third day’
      te toru nā aso
      ART:SG three ART:PL day

Alternatively, in languages across much of Oceania an ordinal numeral is formed by attaching the POc causative prefix *pa[ka]- to the numeral, sometimes with the 3SG possessor suffix, sometimes not. What function the causative prefix plays here is unclear. Often there is also a 3SG possessor suffix as in the cognate set above. Where there is none, presumably an alienable possession structure is used.

POc *pa[ka]-NML-ña ‘ordinal numeral form’
PT Molima ve-NML-na ‘ordinal numeral form’
PT Gapapaiwa vi-NML-[i]na ‘ordinal numeral form’
PT Tawala wi-NML-na ‘ordinal numeral form’
PT Saliba he-NML- (with 3SG/PL)
PT Hula va-NML-na ‘ordinal numeral form’
PT Sinaugoro vaɣa-NML-na ‘ordinal numeral form’
MM Bulu vaɣa-NML ‘ordinal numeral form’
MM Nakanai vaka-NML ‘ordinal numeral form’
MM Lavongai va-NML (i N) ‘ordinal numeral form’
MM Kara fa-NML-āna ‘ordinal numeral form’
MM Notsi (N nan) a-NML (nan ART; a- CAUSATIVE)
MM Patpatar ha-NML ‘ordinal numeral form’
MM Tolai va-NML-na ‘ordinal numeral form’
MM Nehan ua-NML ‘ordinal numeral form’
MM Teop vā-NML ‘ordinal numeral form’
MM Papapana va-NML ‘ordinal numeral form’
MM Banoni va-NML ‘ordinal numeral form’
MM Babatana va-NML-a ‘ordinal numeral form’
MM Kokota fa-NML ‘ordinal numeral form’
MM Maringe fa-NML ‘ordinal numeral form’
NCV Mwotlap ve-NML ‘ordinal numeral form’
NCV Araki ha-NML ‘ordinal numeral form’
NCV Maewo vaɣa-NML-i ‘ordinal numeral form’
NCal Cèmuhî fa-NML ‘ordinal numeral form’
NCal Tîrî fa-NML ‘ordinal numeral form’

Because the ordinal is treated as possessum, it is a nominal. In the cognate sets above this is visible in the addition of the 3SG possessor suffix, but a number of languages treat an ordinal as a verb (see (13) and (14) in §14.4) and add nominalising morphology. The W Central Papuan languages Motu, Lala, Roro and Mekeo and the New Georgia languages Kubokota, Roviana, Ughele, Hoava and Vangunu all add a nominaliser to a form with a causative prefix (see above). The former add the instrumental nominalising prefix i- (< POc *i-), the latter the general nominalising infix ⟨in⟩ (< POc *⟨in⟩). N-C Vanuatu languages had a variety of nominalising morphemes.

PT Lala i-va-NML-na (i- INSTRUMENTAL NOM; va- CAUS; -na P:3S)
MM Kubokota v⟨in⟩a-NML (⟨in⟩ NOM; va- CAUS)
NCV Ambae kai-NML-ki (kai- CLF (fossil); -ki NOM)
NCV Apma NML-an (-an NOM)
NCV Uripiv NML-Vn (-Vn NOM)
NCV Southwest Bay naʔay-NML-yen naʔay- (CLF (fossil); -yen NOM)

A further POc ordinal form, *i-ka-,22 is reconstructable on the basis of both external reflexes and the Fijian reflexes below. PMP and POc *i- were clearly nominalising affixes (vol 1:28–29), and the Bauan example cited in (19a) indicates that it still is a nominalisation occupying the possessum slot in the possessive structure. This reconstruction raises questions. Why are the Oceanic reflexes confined to Remote Oceanic? Perhaps because other forms of nominalisation, exemplified above, replaced them. The Micronesian forms have prefixes that in the modern languages are causative. Do they reflect a reduced form of POc *paka- and thus belong in the cognate set above? One cannot tell.

PAn *Si-ka-NML ‘prefix for ordinal numerals’ (ACD)
PMP *i-ka-NML ‘prefix for ordinal numerals’ (ACD)
POc *i-ka-NML ‘prefix for ordinal numerals’
NCV Namakir ke-NML ‘prefix for ordinal numerals’
NCV Nguna ke-NML ‘prefix for ordinal numerals’
NCV Lelepa ke-NML ‘prefix for ordinal numerals’
Mic Kiribati ka-NML (ni N) (ni ‘of’)
Mic Mokilese ka-NML-CLF ‘prefix for ordinal numerals’
Mic Woleaian [xa,xe]-NML-CLF-r (-r P:3SG)
Mic Sonsorolese xa-NML-ar (-ar P:3SG)
Fij Nadrogā ka-NML ‘prefix for ordinal numerals’
Fij Wayan ikā-NML ‘prefix for ordinal numerals’
Fij Bauan ika-NML ‘prefix for ordinal numerals’
Fij Boumā iʔa-NML ‘prefix for ordinal numerals’
Pn Rarotongan kā-NML ‘prefix for ordinal numerals’

A disturbing aspect of these reconstructions is that it is difficult to imagine that POc had three structures for forming ordinals, namely *NML-ña, *pa[ka]-NML-ña and *i-ka-NML. There are formal overlaps among them, but they cannot be reduced to just one or two reconstructions without a good deal of speculative reasoning.

5.2. Frequentative adverbs⇫

The reconstruction of the POc frequentative adverb form *pa[ka]-NML is straightforward, as it has cognates in South Halmahera languages (Buli vai-NML; Taba ha-NML), strongly implying that the form is reconstructable to PEMP. Blust (ACD) reconstructs PAn *maka-lima ‘5 times’ etc. This appears to have been an actor voice verb ‘do 5 times’, the stem form of which would have been PAn *paka-lima. The morphological structure thus has a long history.

The cognate set is patchy. There are areas, especially in Western Oceanic, where the structure is not reported at all. In languages with numeral classifiers a classifier meaning ‘times’ has displaced the POc structure (§14.1.1). In many other languages it has been replaced by a periphrastic structure like English three times, and ‘times’ has sometimes become a classifier (§14.1.1). The choice of term for ‘time, occasion’ in these languages varies from language to language, and is evidently the outcome of local innovation. In N- C Vanuatu languages, on the other hand, retention of the POc structure is the general rule.

PMP *paka-NML ‘NML times’
POc *pa[ka]-NML ‘NML times’ (frequentative adverb; e.g. *pa[ka]-lima ’5 times)
NNG Bariai pa-NML ‘NML times’
NNG Mangap pa NML ‘NML times’
NNG Mengen pa NML ‘NML times’
PT Kilivila siva-NML ‘NML times’
PT Sinaugoro vaɣa-NML ‘NML times’
MM Bulu vaɣa-NML
MM Kara fā-NML ‘NML times’
MM Patpatar ha-NML
MM Tangga [fa]fa-NML ‘NML times’
MM Nehan ua-NML
SES Oroha haʔa-NML ‘NML times’
SES Arosi haʔa-NML ‘NML times’
SES Owa faɣa-e-NML ‘NML times’
TM Buma wa-NML ‘NML times’
NCV Loh vaɣa-NML ‘NML times’
NCV Mwotlap vaɣ-NML ‘NML times’
NCV Maewo vaɣa-NML ‘NML times’
NCV Ambae vaka-NML ‘NML times’
NCV Apma va-NML ‘NML times’
NCV Araki ð̼aɣa-NML ‘NML times’
NCV Tamambo vaɣa-NML ‘NML times’
NCV Daakaka vya NML ‘NML times’
NCV Paamese hā-NML ‘NML times’
NCV Nese vaɣa-NML ‘NML times’
NCV Uripiv va-NML ‘NML times’
NCV Maskelynes vəha-NML ‘NML times’
NCV Aulua baka-NML ‘NML times’
NCV Baki va-NML ‘NML times’
NCV Namakir baka-NML ‘NML times’
Mic Mokilese pak NML-w ‘NML times’
Mic Sonsorolese fa-NML ‘NML times’
Mic Ulithian xa-NML ‘NML times’
Fij Wayan vaka-NML ‘NML times’
Fij Nadrogā vā-NML ‘NML times’
Fij Bauan vaka-NML ‘NML times’
Pn Samoan faʔa-NML ‘NML times’
Pn Rennellese haka-NML ‘do NML times’

5.3. Distributive numerals⇫

POc distributive numerals (‘two by two; two at a time; two each’ etc) were formed by full reduplication. Typically, where a prefix has become part of the corresponding cardinal numeral, the prefix does not form part of the reduplicand (Nakanai, Bugotu, Vurës, Tamambo, NE Ambae, Raga) but there are exceptions to this (Tungak, Uripiv). In a few languages reduplication is now incomplete or irregular: e.g. Nakanai CV-CV…, but i-lima-lima ‘5 by 5’.

PAn *NML-NML ‘NML by NML; NML at a time; NML each’ (e.g. *duSa-duSa ‘2 by 2’ etc)
POc *NML-NML ‘NML by NML; NML at a time; NML each’ (e.g. *lima-lima ‘5 by 5’ etc)
NNG Manam rua-rua ‘two at a time’
NNG Manam wati-wati ‘four each, four at a time’
NNG Kairiru tai tai ‘one at a time’
NNG Kairiru tuol tuol ‘in threes; three at a time’
NNG Mangap lu-a-lu ‘two by two’
NNG Mangap tol-a-tol ‘three by three’
NNG Maleu lua-lua ‘two by two’
NNG Yabem teleàʔ-teleàʔ ‘three by three’
NNG Numbami lua-lua ‘two at a time’
MM Nakanai ila-lua ‘two by two’ (ilua ‘2’)
MM Nakanai iva-vā ‘four by four’ (ivā ‘4’)
MM Lavongai poŋ-poŋua ‘two by two’ (po-ŋua ‘2’)
MM Patpatar lim-liman na mār ‘500 each’ (na LIGATURE; mār ‘100’)
MM Teop bu-buaku ‘two each’ (buaku ‘2’)
SES Bugotu erua-rua ‘two at a time, two apiece’
SES Gela vati-vati ‘four each’
SES Arosi rua-rua ‘two at a time, two by two’
NCV Mota rua-rua ‘two and two, by twos; double’
NCV Tamambo atolu-tolu-ɣi ‘three at a time, three each’
NCV Ambae kai-tolu-tolu ‘three at a time’ (kai-tolu ‘3’)
NCV Maewo tewa-tewa ‘one by one, one apiece’
NCV Maewo rua-rua ‘two at a time, two apiece, by twos, double’
NCV Raga ɣai-ru-rua-i ‘by twos’
NCV Daakaka lo-lo ‘in pairs’
NCV Paamese he-lua-lu ‘in pairs, two by two (he- S:3S)’
NCV Uripiv er-eru-i ‘two each’
NCV Maskelynes lo-rim-rim ‘five each’
Fij Wayan tolu-tolu ‘in threes, as a threesome, group of threes, all three’

PPn had a dedicated distributive morpheme, *taki-, prefixed to the numeral. Cognate with this is Wayan Fijian teki-, also prefixed to numerals and quantity words but meaning ‘divided into X parts’. This perhaps reflects the function of PCP *taki-, but there is insufficient evidence to confirm this.

PPn *taki- ’’ (Pawley 1970; POLLEX)
Pn Tongan taki- [distributive prefix]
Pn Niuean taki- [distributive prefix]
Pn Samoan taʔi- [distributive prefix]
Pn East Futunan taki- [distributive prefix]
Pn Kapingamarangi dagi- ‘each, each of’
Pn Rennellese taki ‘be different, have or be separate, each to have or be’
Pn Takuu tiki- ‘each’ (distributive prefix)
Pn Tikopia taki- [distributive particle]
Pn Pukapukan taki [distributive particle with numerals]
Pn Rarotongan taki- [distributive prefix]
Pn Tuamotuan taki- [distributive prefix]
Pn Hawaiian kaʔi- [distributive prefix]
Pn Tahitian taʔi- [distributive prefix]
Pn Māori taki- [distributive prefix]

6. Reconstructing POc numeral classifiers⇫

Numeral classifiers and their semantic classes are described in §14.1.1. If it is assumed that all languages have mensural classifiers, a language’s classifier structure is the one in which a mensural classifier occurs. This definition serves well, except in certain Polynesian languages, where there is more than one classifier structure. These languages retain the pre-POc NML *ŋa CLF structure (§14.3ff) in limited contexts alongside the more recent CLF-NML structure, implying that POc also did so. In the reconstructions below, a hyphen in front of the classifier indicates that it occurred in the POc NML[*-ŋa]-CLF structure; a hyphen after the classifier indicates that it occurred in the POc CLF NML structure. Some classifiers evidently occurred in both constructions.

The question to be answered in reconstructing a POc classifier is, Is there evidence of shared inheritance or are we looking at parallel innovation, i.e. the independent but parallel recruitment of cognate nouns into the classifier category? Two characteristics of a cognate set can hint that it is inherited from POc.

The stronger hint is semantic bleaching. A classifier is an outcome of grammaticalisation, usually of a noun. Two things happen during grammaticalisation: the morpheme increases in bondedness (e.g. becomes an affix) and it undergoes semantic bleaching, i.e. its sense becomes increasingly general. If the same semantic bleaching occurs in two Oceanic subgroups or in one Oceanic and one non-Oceanic subgroup, then this is evidence that the bleaching was already present in POc. The POc classifier *-pua/*pua- ‘default inanimate; round object’, derived from *puaq ‘fruit’, represents extreme bleaching (§14.6.1).

The second characteristic is that if some members of the cognate set occur as functionless fossilised prefixes to lower simple numerals (Map 14.2), then that cognate set is likely to be old, and probably of POc antiquity. Reflexes of *pua- now form inseparable prefixes in a number of languages.

Reconstructions sometimes require data from a non-Oceanic language, and the latter are included in some of the cognate sets below.23 A datum from one of these languages is only cited if it is glossed as a classifier in the source.

The vast majority of classifier cognate sets in Oceanic languages display neither of the two characteristics and are very probably more recently grammaticalised recruits. This raises a further question. Why have numeral classifier classes blossomed in a few Oceanic subgroups and (almost) vanished from others? Part of the answer may be contact, as bilingualism can transfer semantic patterns from language to language, but there is very little substantive Oceanic evidence about this, positive or negative.

6.1. Sortal classifiers⇫

Sortal classifiers are not evenly distributed across Oceanic. Quite elaborate systems are found in Admiralties, Kilivila and Sudest (PT), New Caledonia, Micronesian, Tongic (Pn) and NPn languages. The odd sortal classifier survives in other Papuan Tip languages, in Solos and Banoni (MM, Bougainville) and in a few Malaita-Makira (SES) languages. Fossils are found in numerous Meso-Melanesian and N-C Vanuatu languages, indicating that at least certain basic classifiers occurred there once upon a time. No sign of sortal classifiers is found in North New Guinea languages.

The cognate set supporting POc *pua ‘round object; default inanimate’ shows both bleaching and fossilisation. The default classifier is used where no classifier with a more specific meaning applies. This is the ultimate case of semantic bleaching in a classifier. POc *pua was derived from the term for ‘fruit’, then bleached to denote any roundish object, and finally bleached further to become the default inanimate classifier. Its Hawu and Buli cognates are glossed as the classifier for a disparate collection of inanimate objects; it is thus the default classifier in these languages. It also satisfies the fossil criterion: almost all its reflexes in Meso-Melanesian languages and all its N-C Vanuatu reflexes are fossils that are today part of the numeral.

The term ‘default’ is used below for a classifier that is used where no other classifier is appropriate or the speaker does not recall the appropriate classifier. Some sources call this the ‘general’ classifier .

CMP Hawu wuə, ɓuə ‘round objects, buildings, their beams, furniture, boats, baskets, pots, locations, weeks, years’ (wuə SG, ɓuə PL)
CMP Kambera wua, ᵐbua ‘spherical objects’
CMP Tetun fuan ‘fruit, heart, whole roundish objects’
SH Buli pu, pi- ‘objects, 24-hour days, villages, weights, measures’ (pu SG, pi- PL)
CB Ambai bo- ‘inanimate’
POc *pua ‘default inanimate; round object’ (POc *pua- ‘fruit’; vol.3:115–116; PEOc *pua-qi, *po-qi ‘spherical classifier’; Pawley 1972:59)
Adm Mussau -va [default] (-va with 1; zero with other numerals)
PAdm *-(ə)fu [default]
Adm Wuvulu -ua [default] (with tens, hundreds, thousands)
Adm Lou -əp [default]
Adm Penchal -p [default]
Adm Titan -o, -ø [default]
Adm Ponam -f [default] (fossilised)
Adm Kele -[o]h ‘round objects’;
Adm Kurti -eh [default]
Adm Lele -o [default]
Adm Loniu -h [default]
Adm Drehet -ʔep ‘tree, canoe, vehicle, stick; sprout; clump’
Adm Sori-Harengan -p [default]
Adm Bipi -h [default]
MM Lavongai po- [FOSSIL]
MM Tiang u- [FOSSIL]
MM East Kara pa-
MM Nalik u-, o- [FOSSIL]
MM Tabar vo- [FOSSIL]
MM Lamasong o- [FOSSIL]
MM Kandas u-
MM Petats ho-, hue- [FOSSIL]
MM Halia huo- [FOSSIL]
MM Taiof fo- [FOSSIL]
MM Banoni va- ‘round objects’
MM Maringe fa- [FOSSIL]
SES To’aba’ita fV- ‘small round plant products (fruit, nuts, tubers, corms, bulbs and more)’
SES Arosi hua ‘round objects’
TM Äiwoo u-, vi- [FOSSIL]
TM Tanibili bu-, bo- [FOSSIL]
NCV Loh va- [FOSSIL]
NCV Hiw vi- [FOSSIL]
NCV Vera’a fo̝- [FOSSIL]
NCV Lemerig vʊ- [FOSSIL]
NCV Mwotlap vV- [FOSSIL]
Proto Far North New Caledonia *pʷa- ‘round object; time’
NCal Nyelâyu pʷa- ‘inanimate; time’
NCal Nêlêmwa pʷa- ‘round object’
NCal Nixumwak pʷa- ‘round object; day’
PMic *-ua ’’ (Jackson 1986: 209)
Mic Kosraean -u [DEFAULT]
Mic Kiribati -ua ‘fruit’;
Mic Marshallese -u [DEFAULT] (fossil in cilu ‘3’; Harrison & Jackson 1984)
Mic Mokilese -w [DEFAULT INANIMATE]
Mic Chuukese -ew [DEFAULT]
Mic Carolinian -uw [DEFAULT INANIMATE]
Mic Woleaian -uw [DEFAULT]
Mic Ulithian -wo [DEFAULT]
PPn *-fua ‘10 tens or scores of certain food items’ (?; see §14.6.9)

The cognate set supporting POc *kai also displays bleaching and fossilisation. All reflexes are consistent with the reconstruction *kai except those in the Central Papuan languages Aroma, Hula, Balawaia and Motu, which support †*kau-. The POc noun corresponding to this classifier was *kayu ‘tree’, with reflexes in -ai and -au. The Central Papuan languages also have noun forms in -au. An economic explanation of the classifier forms is that they have been reshaped to line up with the noun forms. Another set of exceptions is provided by the Micronesian reflexes, which require the reconstruction of two PMic forms: *-ai ‘long slender object’ and *-kai ‘plant, tree, stick’. I take *-ai to reflect the POc classifier and *kai to be a more recent formation based on PMic *kayu ‘wood, pole’.

POc *kai- is widely reflected as a fossilised numeral prefix, suggesting that it became the default inanimate classifier in place of *pua- in parts of Oceanic. Attributive numeral forms in some languages take a prefix reflecting POc *ka-, but this almost certainly does not reflect the POc classifier *kai-. There is just one instance where the attributive prefix clearly reflects *kai-, namely NE Ambae kai-.24 All other attributives reflect *ka- (§14.4) and this is reason enough to reconstruct attributive *ka- and classifier *kai- separately, and to assume that the two became conflated in NE Ambae.

CMP Nauete kai- [FOSSIL] (on 2–9)
SH Buli ai- ‘long object, tree, wood, house’
POc *kai ‘long, rigid object; wooden object; tree’ (POc *kayu ‘tree, wood’; vol.3:71–72)
Yap Yapese kɛ̄ ‘tree, stemmed object, crabs, lobsters, grass-skirts, clans’ (incorporates ligature ɛ̄)
Adm Mussau -ae ‘long, tall; collective’
PAdm *-kai ‘long rigid object; tree’
Adm Seimat -a ‘tree’
Adm Lenkau -ei ‘long object’
Adm Lou -e ‘long object; tree’
Adm Ponam -wi ‘long, thin: canoe, tree trunk, stick’
Adm Titan -ei ‘tree, canoe, village’
Adm Kele -ei ‘long object’
Adm Kurti -ʔei ‘long object’
Adm Ere -ʔei ‘long object’
Adm Papitalai -ei ‘tree’
Adm Loniu -ey ‘tree, canoe, banana bunch’
Adm Bohuai -ʔiai ‘long object’
Adm Mondropolon -ei ‘long object’
Adm Nyindrou -ei ‘tree’
PPT *kai[u]- ‘default inanimate classifier (?); long rigid object; wooden thing’
PT Kilivila ke-, kai- ‘long rigid object; wooden thing’
PT Muyuw kay- ‘wooden thing’
PT Misima e- [FOSSIL]
PT Gumawana ai- [FOSSIL]
PT Bunama ʔe- [FOSSIL]
PT Dobu ʔe- [FOSSIL]
PT Kalokalo kai- [FOSSIL]
PT Aroma ɣau- [INANIMATE] (see text above)
PT Hula au- ‘trees, long wooden objects’ (see text above)
PT Balawaia ɣau- ‘banana’ (see text above)
PT Motu au- ‘long things (spears, poles)’ (Lean 1991; vol.7:48; see text above)
MM Mono-Alu e- [FOSSIL]
MM Torau e- [FOSSIL]
NCV Ambae kai- [ATTRIBUTIVE]
NCV Raga ɣai- [FOSSIL]
NCV Apma ka- [FOSSIL]
NCV Paamese e- [FOSSIL]
NCV Nese ɣo- [FOSSIL]
NCV Vao ɣe- [FOSSIL]
NCV Unua ɣe- [FOSSIL]
NCV Sesake ke- [FOSSIL]
PMic *-ai ‘long slender object’
PMic *-kai ‘plant, tree, stick’ (PMic *kayu ‘wood, pole’; Bender et al. 2003a)
Mic Kiribati -ai ‘long objects; hardware, furniture, chests, barrels, timber, coconut leaf stems, fingers, teeth, large fish, sharks’
Mic Kiribati -kai ‘plant, tree, stick’ (see text above)
Mic Sonsorolese -aw ‘long round object like pencil’
Mic Sonsorolese -xae ‘plant’ (see text above)
Mic Ulithian -yaye ‘long slender object’
Mic Ulithian -xaye ‘tree- or book-like object’ (see text above)

POc *tau- below does not satisfy the semantic bleaching criterion. The initial consonant of the Micronesian forms reflects prenasalisation, i.e. *-ŋa-tau > *-ŋ-tau > *-PMic *-dau).

CMP Kambera tau ‘person’
POc *tau ‘animate; person’ (POc *tau ‘person’; vol.5:40)
PT Kilivila tau-, to-, te- ‘human; male human’
PT Muyuw te- ‘man’
MM Nakanai tau-, taho- ‘person’
MM Nehan to- [FOSSIL]
MM Petats to- [FOSSIL]
MM Halia to- [DEFAULT]
MM Teop tao- [FOSSIL]
MM Papapana tau- [FOSSIL]
MM Banoni to- [FOSSIL]
PMic *-dau ‘animate; person’ (< *-ŋa-tau)
Mic Puluwatese -ɽay ‘human and other animate’ (< *-n-tau)
Mic Satawalese -ɽai ‘animate’ (< *-n-tau)
Mic Carolinian -ʂay ‘animate’ (only with 1–3)

The reconstruction below satisfies only the distribution criterion, and it seems unlikely that it was present in POc, the more so as it would have been in semantic competition with *tau- above. More probably it was innovated independently in certain CMP and New Caledonian languages from the noun PCEMP/POc *qata.

CMP Lamaholot ata ‘person’
CMP Rongga -ata ‘person’ (only in sa-ŋ-ata ‘one person’)
POc *qata ‘person’ (POc *qata ‘person’; vol.5:45–46)
NCal Belep ãde- ‘person’
NCal Nêlêmwa ā- ‘animate’
NCal Nixumwak ā- ‘person’
NCal Caaàc yara- ‘person’

POc *manu- satisfies the semantic bleaching and distribution criteria. Investigating the POc sense of the noun *manuk, Pawley (vol.4:449–450) concludes that it denoted birds and other flying creatures, but not land animals. The fact that ‘animate’ can be reconstructed as the POc sense of the classifier *manu- thus points to bleaching. However, as no non-Oceanic classifier cognate has been found, it is less certain than for *pua- and *kai- that this bleaching had occurred in POc. Awa mano- refers only to birds, and may be a recently innovated classifier.

That *manu- does not satisfy the fossil criterion is not surprising. Classifiers that have frequent use because they refer to human beings or because their referents form a large category (like *pua- and *kai- above) are more likely candidates for fossilisation.

CB Ambai man- ‘animate’
POc *manu ‘animate’; ‘flying creatures and land animals’ (POc *manuk ‘birds, flying creatures’; vol.3:271–273)
Adm Wuvulu -manu [fossil] (in ʔolu-manu); ‘3 non-humans’
Adm Aua -mano ‘bird’
Adm Penchal -[mə]n ‘animate’
Adm Ponam -man ‘person, spirit’
PPT *manu- ‘animal’
PT Sudest man- ‘birds, small creatures’
PT Muyuw mʷana- ‘animal or bird’
Mic Nauruan -men ‘animate’
PMic *-manu ‘animate’
Mic Kiribati -man ‘animate’
Mic Marshallese -man ‘animate’; (in e-man ‘4’)
Mic Mokilese -men ‘animate’
Mic Ponapean -men ‘animate’
Mic Puluwatese -man ‘animate’ (with 6–9)
Mic Chuukese -mən ‘animate’
Mic Carolinian -mal ‘human or higher animal’
Mic Woleaian -mar ‘animate’
Mic Sonsorolese -marʉ ‘person, small animal, fish’
Mic Ulithian -male ‘animate’

POc *qapa- ‘flat object; sheet of s.t.; leaf’ meets the bleaching and distribution criteria. Semantic bleaching is inferred from the glosses of its reflexes, as there is no noun known from which it is derived.

POc *qapa ‘flat object; sheet of s.t.; leaf’
PAdm *-kaba ‘flat object; leaf’
Adm Baluan -kam ‘leaf’
Adm Titan -kap ‘plant’
Adm Kele -kap ‘flat natural object’
Adm Loniu -kap ‘leaf’
NCal Nyelâyu hava- ‘flat pliable object: leaf, paper, fabric’
NCal Nêlêmwa hava- ‘large flat object’
NCal Nixumwak hava- ‘flat object’

POc *pata ‘long cylindrical object; tree trunk’ meets both criteria.

CMP Buru fatan ‘long, large and round object; tree trunk, wave’
POc *pata ‘long cylindrical object; tree trunk’ (POc *pata(ŋ) ‘tree trunk’; vol.3:87)
PMic *-fata ‘long cylindrical object; tree trunk’ (Harrison & Jackson 1984; a. 2003)
Mic Mokilese -pas ‘long object’
Mic Ponapean -pʷɔc̣ ‘long objects inc. trees, vehicles, songs’
Mic Puluwatese -fɔr ‘long object’
Mic Chuukese -fɔc̣ ‘long cylindrical object’
Mic Satawalese -fɔɽ ‘long object’
Mic Carolinian -fɔʂ ‘long object, as trees, canoes, pens’
Mic Woleaian -faʂ ‘long object’

Certain other cognate sets have been rejected as they are apparently not of POc antiquity. For example, hypothetical †*rau- ‘flat object; leaf’ (cf POc *raun ‘leaf’; vol.3:103–104) is found only in Micronesian languages. Clark (1999) includes it among his PPn reconstructions, but the reflexes in POLLEX online are unconvincing for this sense, making even a PROc reconstruction insecure. A better attested classifier reconstruction for ‘flat object; leaf’ is POc *qapa- above.

6.2. Mensural classifiers⇫

Of the characteristics that hint at POc antiquity, only the criterion of distribution consistently applies to mensural classifiers. There is typically little or no semantic bleaching, as the noun from which a mensural classifier is derived has a mensural sense already. There is no fossilisation, as fossilisation happens to sortal classifiers that refer to individuals, not collections.

The best supported mensural classifier is POc *buŋ(V)- ’bunch (of fruit). From the glosses of its reflexes it seems that its primary use may have been for bunches of betelnuts.

POc *buŋV ‘bunch (of fruit, esp. betelnut?)’ (ACD: POc *buŋ(u) ‘bunch, cluster, of grain, fruit, areca nuts, etc.’)
PAdm *-buŋu ‘cluster, bundle (usually of fruit)’
Adm Lou -pu ‘clump’
Adm Baluan -pu ‘heap, bundle, group of (e.g. fruit or people)’
Adm Ponam -ʙuŋ ‘cluster of fruit’
Adm Titan -buŋ ‘one cluster (as of betelnuts)’
Adm Kele -buŋ ‘small group of natural objects’
Adm Loniu -puŋ ‘fruit on a single branch: betelnuts, coconuts, Malay apples’
NNG Patep bun ‘tied bundle of timbers, greens, etc.’
PT Kilivila buko- ‘fruit cluster’
MM Lihir bun ‘bunch (of betelnuts)’
MM Madak -buŋ- ‘group’
MM Barok buŋ ‘group’
MM Halia buŋ ‘bunch; cluster, e.g. of nuts or coconuts’
Mic Kiribati -uŋ ‘bunch of pandanus fruit’

POc *qiti- and *qi- ‘hand of bananas’ are a pair of reconstructions with the same meaning, the latter presumably an abbreviation of the former. They both meet only the distribution criterion.

CMP Kéo xi ‘clump of fruit on tree’
SH Buli esiŋ ‘hand of bananas’
SH Taba isiŋ ‘hand of bananas’
POc *qiti, *qi ‘hand of bananas’ (POc *qitiŋ ‘hand or bunch of bananas’; vol.3:117)
Adm Ponam -it ‘ring of bananas on stalk’
Mic Satawalese -is ‘banana hand’
Mic Woleaian -is ‘banana hand’
NNG Mapos Buang ɣi ‘hand of bananas’
PT Hula ɣi- ‘10 bananas’

The reconstruction below is attributed to POc because it meets the distribution criterion. The initial consonant of the Micronesian forms reflects prenasalisation, i.e. *-ŋa-pui > *-ŋ-pui > PMic *-bui.

POc *pui, *pui ‘bunch, group’ (POc *pui ‘bunch, cluster, as of fruit’; ACD)25
Adm Lou -wi ‘bunch’
PT Sudest ui- ‘bunch of bananas or betelnuts’26
PMic *-bui ‘group, herd’
Mic Chuukese -pʷi ‘school, herd, group’
Mic Mokilese -pʷi ‘some, several’
Mic Puluwatese -pʷi ‘group’
PPn *se[ŋa]-fui ‘set of 5 pairs (of coconuts etc)’
Pn Takuu (se)fui ‘score (of coconuts)’
Pn Sikaiana (se)hui ‘10 (for birds, coconuts, copra, taro, fruits)’
Pn Nukuoro (de)hui, (ŋa)hui ‘a 10 of coconuts’

6.3. Enumerative classifiers (ECs)27⇫

Enumerative classifiers have somewhat different geographic distribution from sortal and mensural classifiers. In subgroups that have an elaborate paradigm of grammaticalised sortal and mensural classifiers, i.e. Kilivila (PT), New Caledonian, Micronesian, Tongic (Pn) and Nuclear Polynesian languages, ECs also typically occur, but they appear to be absent from Admiralties and N-C Vanuatu. They are also found in SE Solomonic languages, which otherwise lack classifiers, as well as a few in North New Guinea languages around the Vitiaz Strait and in Fijian dialects.

With one possible exception no POc EC is reconstructable. The exception is *waRo- ‘a string of a specified number of a product’, which reflects POc *waRoc ‘vine or creeper’ (vol.3:74–75), a term whose reflexes often also denote string or rope. However, the probability that reflexes of *waRoc have become ECs independently in different languages at different times and places is strong, so it is uncertain whether it already functioned as an EC in POc.

POc *waRo ‘a string of a specified number of a product’ (POc *waRoc ‘generic term for vines and creepers’; vol.3:74–75)
NNG Gedaged wal ‘4 coconuts tied together’
PPT *waRo- ‘a bundle of coconuts’
PT Muyuw wa- ‘2 pair of coconuts’
PT Hula walo- ‘10 coconuts’ (Lean 1991)
PT Balawaia walo- ‘10 coconuts or betelnuts’
PT Motu varo- ‘10 coconuts’ (Lean 1991)
SES Longgu alo ‘10 fish’
SES Arosi waro ‘5 eels’
SES Sa’a walo ‘10 strings of shell money; 10 coconuts made into copra and strung together in halves’
SES Owa waro (iɣa) ‘10 fish on string’ (iɣa ‘fish’)
NCal Nêlêmwa wã- ‘2 pair of dead flying foxes’

Most ECs are reconstructable only for a protolanguage ancestral to one of the subgroups mentioned above. Does this mean that ECs did not occur in POc? Their complete absence is improbable, given what can be inferred about their cultural context (§14.1.2.4). Further, there are ECs in some CMP and SHWNG languages, e.g. Rongga liwu ‘4 coconuts’; ulu ‘10 liwu’, i.e. ‘40 coconuts’; Ambai boa- ‘4 large fish’.

PCP *mata- ‘10 fish; 10 taro’ (POLLEX: ‘10 fish’)
Fij Bauan mata ‘10 fish’
Pn Samoan mata- ‘numeral prefix used in relation to taro’
Pn Anutan mata- ‘10 fish’
Pn East Futunan mata- ‘10 fish’
Pn Tokelauan mata- ‘indicates a unity of one hundred fish’
Pn Nukuoro mada- ‘numeral prefix denoting ten’
Pn Rennellese matā- ‘10 small fish’
Pn Takuu mata- ‘10 fish’; ‘unit of 10 (from 20 upward)’; ‘numeral prefix denoting ten’
Pn Sikaiana mata- ‘10 fish’
Pn Takuu mata- ‘10 fish’; ‘unit of 10 (from 20 upward)’; ‘numeral prefix denoting ten’
Pn Pukapukan mata- ‘numeral prefix for taro and swamp taro tubers’

Because of the absence of reconstructable ECs this section describes the distribution of ECs by various parameters, arguing that these distributions were largely true of POc, even if the forms cannot be reconstructed.

Of the 383 Oceanic languages from which data were collected, ECs were recorded for 69. The total number of ECs recorded from these 69 languages was 394. This is simply a product of what linguists and ethnographers have recorded. It is not a sample in a statistical sense. What follow are thus only rough generalisations.

The absence of ECs from Admiralties languages is odd. For Ponam (Adm), where customary public counting certainly did occur (§14.1.2.1), Carrier (1981) records classifiers with meanings such as ‘a bundle of X’ or ‘a string of X’, but none containing a multiplicand, e.g. 3 in ‘a bundle of 3 coconuts’ or 10 in ‘a string of 10 fish’.

What do ECs usually count? In Micronesian languages, where a classifier accompanies every counted item, coconuts, fish and breadfruit stand out as the items that are often accompanied by an EC. In SE Solomonic and Polynesian languages, on the other hand, only certain items require a classifier (Lichtenberk 2008b:264–265). Bender & Beller (2007b:226–228) ask why certain objects were counted specifically, while others were not. After dismissing various answers that are not supported by reality, they conclude:

Abundance cannot have been the criteria either, as many objects that are plentiful in the islands – such as taro, sweet potatoes, breadfruit, or mangoes – were not counted specifically. However, if we combine importance, or rather cultural significance with abundance, we obtain an intersection that precisely maps onto the group of specifically counted objects. While things like kava, lobster, or pigs are culturally salient, they are not plentiful; and breadfruit, taro, or mangoes, on the other hand, are abundant, but not appreciated as much as comparable products. Only coconuts, yam, fish, and the material for thatching houses and weaving mats are both important and abundant. (Bolding mine)

The observation in bold type holds for Oceanic languages generally. Coconuts and fish are almost universally counted with ECs in Oceanic languages that have them. There are also ECs for bananas across most of Oceania. Taro and yams are also frequently counted with ECs, but not in Micronesia, where they are less valued or less abundant than breadfruit.28 Betelnut, chewed as a stimulant across Near Oceania, is counted with ECs in Papuan Tip and in NW and SE Solomonic (it is not chewed in Remote Oceania).

Except for betelnut, all the items named in the previous paragraph are foods and, as one might expect, at scattered Oceanic locations other foods are counted with ECs: sago in the Huon Gulf (NNG) and Papuan Tip, canarium nuts in North New Guinea and SE Solomonic, crabs in SE Solomonic, Fijian and Polynesian, flying foxes in Malaita (SES) and northern New Caledonia.29

There are ECs for pigs in Papuan Tip, SE Solomonic, Fijian and Polynesian. Given the ubiquity of pigs as wealth items in Oceania, one might expect to find ECs with them almost everywhere. Where they are not found, perhaps pigs are counted individually, not in groups.

Bender & Beller (2006a) also mention thatching material. ECs are used for sago thatching in North New Guinea languages around the Vitiaz Strait and in the Schouten Islands and for unspecified thatching in Malaita and Tonga.

Another item that turns up in the data is traditional money, centred on but not exclusive to the SE Solomons. There are ECs for several kinds of shell money and for the teeth of dogs, bats, dolphins, and certain fish, and in Fiji for whale teeth. The relationship of traditional money to ceremonial exchanges and distributions is self-evident.

Bender & Beller’s characterisation of items that cooccur with ECs as ‘culturally salient and abundant’ can thus be extended to all parts of Oceania where ECs are used, and it can be inferred that ECs occurred with such items in POc speech.

The number of items that an EC refers to—its multiplicand—is determined by the nature of the item and by local conventions of public display.

    1. Belep (NCal): (McCracken 2012:297–298)
      ‘5 cords of sugarcane’ (go- ‘cord of 10 pieces of sugarcane’)
      go-nem ûjep
      CLF-5 sugarcane
    2. Samoan (Pn): (Mosel & Hovdhaugen 1992:248)
      ‘12 coconuts’ (oa- ‘pair of coconuts or young pigs’)
      ono-ŋa-oa popo
      6-LIG-CLF coconuts
    3. Tuam (NNG): (Bugenhagen & Bugenhagen 2007)
      ‘two fish’ (parapināŋ ‘pair of fish’)
      īɣ parapināŋ ēz
      fish CLF one

Thus Belep speakers evidently tie pieces of sugarcane in tens, Samoans tie coconuts in pairs and Tuam speakers do the same with fish.

Hill & Unger (2018:125) find that ECs with multiplicands of ten occur only in languages that have retained a decimal system, like Lengo.

    • Lengo (SES): (Hill & Unger 2018:130)
      ‘How many garden.rows of short yams [are in your garden]?’ (ɣaivolo ‘10 garden rows’)
      e ŋiða na ɣaivolo ni pana?
      3SG how.many ART CLF ASSOC lesser.yam

Their generalisation is confirmed by the data collected for this chapter. In (21) ɣaivolo means ‘ten garden rows’, and a coherent answer is, for example, e ono na ɣaivolo [3SG 6 ART CLF] ‘sixty garden rows’.

There is no other correlation between numeral system and multiplicands. The converse generalisation does not apply: languages with decimal systems often have ECs with a multiplicand other than ten or a power of ten.

    • Sa’a (SES): (Ivens 1918)
      ‘four dogs’ teeth’ (kʷaʔu ‘4 dog’s teeth’)
      kʷaʔu-i ʔusu
      CLF-ASSOC dog

Indeed, ECs with a multiplicand below 10—they include 2, 3, 4, 5 and 6—occur in languages with base-10, base-5-10, base-5-10-20 and base-5-20 systems.

The correlation between the multiplicand and the product counted is also minimal. In different places coconuts are counted in groups of 2, 3, 4 or 6. The coconuts will be ripe and have been husked, and the fibres on the surface after husking readily allow 2 or 3 coconuts to be tied together. These bundles may in turn be set out in twos to give units of 4 and 6 (no unit of 5 coconuts is found). Fish usually fall into two conventional categories: a fish large enough to form a cooking parcel by itself, and smaller fish that are strung. A string may consist of 2, 3, 4, 5 or 6 fish in Tuam, Nêlêmwa, Bariai, Chuukese and Halia respectively. These differences are presumably based on fish-size plus convention. A number of languages with decimal counting, however, allow strings of 10 fish. Larger, manufactured items are typically counted in pairs. They include pandanus-leaf mats, sleeping mattresses, and lengths of sago thatching attached to some kind of pole, sometimes split bamboos, although the latter are sometimes counted in 3s or 4s.

Probably the most detailed record of ECs in an Oceanic language is Fox’s (1931) description of the hierarchies of ECs in Arosi (SES), on which Table 14.9 is based. The second row shows the units that are counted. There are both similarities and differences between the hierarchies used with different objects. A search through Fox (1978) reveals very few alternative meanings for the terms in Table 14.9, and the original meanings of Arosi ECs have apparently been lost.30

Table 14.9 Enumerative classifiers in Arosi (SES)31
Arosi W Arosi E Arosi Arosi W Arosi E Arosi
1 coconut 1 yam etc 2 yams etc 4 fathoms of shell money 2 large or 4 small teeth 4 dolphins’ teeth
1 — — waioa tahaŋa abe abe
2 waioa waioa — — — —
5 — dumai dumai — — —
10 aʔuru (erua dumai) (erua dumai) ita māru ʔaharara
20 or 25? — gagau gagau gagau — —
50 — susu-aba aba-aba susu-aba — —
100 taŋarau ʔaraŋi ʔaraŋi ʔaraŋi ʔaraŋi toʔa ni iʔa
1,000 bʷera wawaibeʔo sosooba wawaibeʔo dohu dohu
10,000 rau ki haru husia/mora wawaibeʔo … ʔuma ʔuma
25,000 — — — — — iʔa-hunu
100,000 rawa i niu sinora ahusia … … …
1,000,000 niu tari rau rau … … …

Arosi has a base-10 system, but speakers often counted in pairs. East Arosi counts yams in pairs, whereas West Arosi counts single yams. This is why waioa ‘a pair’ occurs on different lines under W and E Arosi: in W Arosi it denotes ‘2’, in E Arosi ‘1 pair’. It also means that dumai denotes 5 yams in W Arosi, but 10 yams (5 pairs) in E Arosi—and this relationship between the two dialects is maintained through to rau, a million yams in W Arosi but 2 million in E Arosi. It does not account, though, for the fact that wawaibeʔo means 1,000 yams in W Arosi but 20,000 in E Arosi: this is a case of the rather frequent phenomenon whereby words for higher numerals shift places, due presumably to infrequent usage.

E Arosi thus retains what is apparently an old Oceanic mode of counting by pairs. Some scholars assert that this is the relic of a binary-cum-vigesimal system, but Bender & Beller (2007a) show that this is not true. In the cases of yams and shell money, the decimal system is modified, skipping 10 with yams (erua dumai means 2 fives) and accommodating multiples of 5. The counting of coconuts and teeth on the other hand, is straightforwardly decimal except for iʔa-hunu (literally ‘fish finished’), but with units of 2 or 4.

Somewhat striking is the counting of breadfruit. Again, W Arosi counts single fruits but E Arosi counts pairs. The plain numerals eta ‘1’ and erua ‘2’ are used, and E Arosi speakers know that if breadfruit are counted, the numerals refer to pairs.

Scattered relics suggest that hierarchies of ECs like those in Arosi were more widespread before the adoption of French or English numerals. There is evidence in other SE Solomonic languages. From Sa’a Ivens (1918) gives for yams nao ‘100’, sinola ‘1,000’, and mola ‘10,000’; and for coconuts pʷela ‘1000’, rau ‘10,000’, and udi ‘100,000’. From Owa Mellow (2014) lists for yams apapana ‘50 pairs of yams’ and aufi ‘100 pairs of yams’; and for coconuts ɓaroɓaro ‘2’, ausukau ‘10’, ɣairirasi ‘100’.

Table 14.10 Halia (Hanahan) enumerative classifier hierarchies
coconuts 4 piloto —
12 horowele = 3 piloto
taro, sweet potato or betelnut 6 pilic —
60 teil = 10 pilic
600 kosono = 10 teil
flying fish 6 einase —
120 tanoge = 20 einase
180 tolahun = 30 einase

Further west, for taro tubers in Roviana (MM) Waterhouse (1949) lists hioko ‘10 pairs’, piŋuto ‘100 pairs’ and hiako ‘1000 pairs’.

From Halia (MM) Tsirumits et al. (2005) give the hierarchies in Table 14.10. Coconuts are counted in fours, each four tied together. Taro, sweet potato, betelnut and flying fish are counted in sixes, but the two hierarchies appear to multiply differently, perhaps because the data are fragmentary. Tsirumits et al. note that an einase may also consist of a single tuna, which is larger than six flying fish. Presumably, an einase was a package of fish for cooking. The term tolahun (‘30 einase’) reflects POc *tolu-ŋapuluq ‘30’, but tolahun functions only as an EC, as both 3 and 10 have undergone lexical replacement. Halia for ‘30’ is topisa maloto ‘3 [×] 10’.

The Tolai (MM) counted wildfowl eggs in fours, taro in sixes, bananas in bundles of 4 hands, and fish in strings of no particular number. Coconuts were counted in pairs, with special terms for 1, 2, 3, 6 and 60 pairs (Paraide 2008).32

A theme that crops up several times above is that scattered Oceanic languages counted certain objects in pairs. Pair-counting in Tongan has been thoroughly investigated by Bender & Beller (2007b), who write (p219),

Among these objects were pieces of sugar cane thatch (au), coconuts (niu), pieces of yam for planting (konga ’ufi or pulopula), whole yam (’ufi), and fish (ika). In addition to these objects listed in the Churchward Grammar (1953), several informants suggested that one type of pandanus leaves (kie) was counted in the same way as yam for planting. … The counting of these objects follows specific patterns that all have one feature in common: Counting proceeds in pairs and scores…. For all objects, the smallest unit is the pair: nga’ahoa for sugar cane thatch, yam and fish, and taua’i for coconuts. … While the counting of sugar cane thatch then proceeds in tens of pairs (tetula), hundreds and thousands of pairs (using the regular numerals for 100 and 1000, yet omitting the lexeme for “pair”), coconuts, yam and fish are, from 20 onwards, counted in scores. The term for “one score” is glossed differently depending on the counted object: tekau for coconuts and occasionally yam, and kau for yam and fish. For the counting of coconuts and yam, a further term refers to “10-scores” (tefua for coconuts and tefuhi for yam). The scores (kau) of fish, however, are regularly counted in number words from one to hundreds; the same can alternatively be done for yam.

This is reminiscent of Arosi above, even down to the detail that the Tongan listener knows without being told that sugarcane thatch is counted in pairs, just as the Arosi listener knows that this is true for breadfruit.

Bender & Beller (2006b:384–385) analyse similar pairwise systems in the EPn languages Tahitian, Mangarevan and traditional Maori. Elbert’s (1988:187) Rennellese audience of 1958 wondered why yams and breadfruit should be counted in pairs, and, as he writes later, without an EC (§14.1.2.4). Owens & Lean (2018:143), citing Beaglehole & Beaglehole (1938), note that coconuts are counted in pairs and that the terms used are in some cases identical to the ordinary numerals, i.e. listeners know that coconuts are counted this way.

Other fragments of evidence, namely unexpected numerals within decimal systems, point to pairwise counting. Wuvulu (Adm) and some Central Papuan (PT) languages have a decimal system with unusual numerals for 6 and 8 (Table 14.11), e.g. Motu taura-toi ‘6’ and taura-hani ‘8’. Since toi and hani are 3 and 4 respectively, taura- seems to mean ‘double’ (it is not listed separately in Lister-Turner & Clark 1954a), and it is a reasonable inference that it reflects an earlier enumerative classifier meaning ‘pair’.33

Table 14.11 Numerals 1–9 in Wuvulu and certain Central Papuan languages
POc Wuvulu Keapara (Kalo) Motu Lala Gabadi
1 *ta e-palo kʷapuna ta[mona] ka ka[pea]
2 *rua rua ruala rua lua rua
3 *tolu ʔolu toi-toi toi koi koi
4 *vati fa vati-vati hani vani vani
5 *lima aipani ima-ima ima ima ima
6 *onom ʔolu-roa taula-toi-toi taura-toi kala-koi kara-koi
7 *pitu ʔolo-ro-m-palo taula-toi-kʷapuna hitu kala-koi ka kara-koi kapea
8 *walu fai-na-roa taula-vati-vati taura-hani kala-vani kara-vani
9 *siwa fai-m-palo taula-vati kʷapuna taura-hani ta kala-vani ka kara-vani kapea

Owens & Lean (2018:141) note that “Roviana has a distinct word for 20 while most other decades are multiples of ten”. They entertain the possibility that this reflects a digit-tallying system, but think it more likely that Roviana hioko-na ‘20’ reflects a pair-counting system. This is clearly correct, since hioko is listed as ‘10 pairs of taro tubers’ by Waterhouse (1949). Other NW Solomonic languages of Choiseul, the New Georgia group and Santa Isabel also have a distinct word for 20. In languages where 20 is a simple numeral derived via a tally system, 20 is almost always derived from a noun meaning ‘man’ or ‘person’ (§15.6), but there is no sign of this in these NW Solomonic languages, leaving us with the possibility that, like Roviana hioko, these words mean ‘10 pairs (of something)’, i.e. a score. The terms form four cognate sets, but no origin for the three has been found.

    1. *sioko-na (> Roviana hioko-na, Ughele sioko-na, Maringe hiokonə putə).
    2. *[ka]rabete > Vaghua, Varisi, Babatana karabete, Ririo karbet; Lungga and Ghanongga rabete puta, Simbo rabate puta, Nduke rabete
    3. *kauŋe > Hoava, Kusaghe kauŋe
    4. *varedaki > Zabana, Blablanga varadaki, Kokota varedaki.

The word puta/putə in these examples means ‘sleep’, and is used in the sense of ‘finished’, ‘complete’.

Although the evidence in this subsection is fragmentary, it is well enough distributed to suggest that root crops (yams and taro tubers) were already counted in pairs in POc, and this was probably true of other products too.

There is also a tendency to count certain objects in fours. Rongga (CMP) liwu ‘4 coconuts’, Gedaged (NNG) wal ‘4 coconuts tied together’, Halia (MM) piloto ‘4 coconuts’ (Table 14.10) and various Arosi ECs (Table 14.9) crop up in the discussion above. This has resulted in counting systems in which a base of 4 plays an important role.

Some speakers of Wuvulu (Adm; Hafford 2011) recall a quite complex system which counted coconuts in pairs, fours and sixteens. One to five pairs, i.e. 2 to 10 coconuts, are counted with the unaffixed numeral roots 1–5 roa, rua, ʔolu, fa and rea, another instance of everyone knowing that certain items were counted in twos. However, 4–12 coconuts could also be counted in fours: ʔobao ‘one bundle of 4’, rua-ʔo ‘2 bundles of 4’, ʔolu-ʔo ‘3 bundles of 4’, where -ʔo was a bundle of 4. At this point the base-4 system dictates a new power of 4, and counting proceeds with the classifier -moro ‘unit of 16’, as far as fai-ma-moro [9×16] ‘144’.

The Wogeo (and Bam) numeral system, as reported by Exter (2010) and shown in Table 14.12, has a base of 4. The complex numerals from kʷik ‘4’ upwards are easily parsed:34 kʷik bʷa-kobʷá [4+1] ‘5’, kʷik bʷa-ragó [4+2] ‘6’, kʷik bʷe-tol [4+3] ‘7’, kiki-rua [4×2] ‘8’, kiki-rua bʷa-kobʷá [(4×2)+1] ‘9’ and so on. If this were a pure base-4 system, the numerals would continue thus to 15 [(4×3)+3], followed by a new simple term for 16 [^42]. But instead 16 is kiki-vat [4×4] and complex numerals continue to 19 [(4×4)+3], as the new simple numeral is usú ‘20’. Here there is a hiccup, as counting based on usú continues only to 39 [20+(4×4)+3], as there is no †usu-rua but the new simple numeral kulemʷa ‘40’. At this point the system settles down, and kulemʷa, like kʷik, is used as far as kulemʷa-vat ‘160’ [(40×4)], with complex numerals as far as 199 [(40×4)+20+(4×4)+3], and a new simple numeral udol ‘200’,35 used as far as udol-vat ‘800’ with complex numerals as far as 1,999. This is followed by lima ‘1,000’, which continues as the base until valú ‘5000’, which in turn gives way to ka ‘25,000’. The system thus has bases 4, 20, 40, 200, 1000, 5000, 25000.

Table 14.12 The Wogeo (NNG) numeral system
simple numerals fours twenties forties 200’s thousands
1 ta kʷik usú kulemʷa udol lima
2 rua kiki-rua — kulemʷa-rua udol-rua lima-rua
3 tol kiki-tol — kulemʷa-tol udol-tol lima-tol
4 — kiki-vat — kulemʷa-vat udol-vat lima-vat

This extent of this system suggests that it has evolved almost entirely out of enumerative classifiers used in ceremonial contexts. Hogbin does not discuss counting in his 1970 ethnography, but often describes feasts, some of them large. The reliance on groups of four in a system that interacts with a base of 20 suggests a complex history whereby Wogeo once had a system like that of closely related Manam, with bases of 5, 10 and 20 (§15.4.3), but in which the practice of using basic numerals to count bundles of a specific quantity has replaced much of the system. Thus kulemʷa in Manam (and its Kairiru cognate qolem) mean ‘10’, but in Wogeo kulemʷa means ‘40’, implying that it was once used to count ten bundles of 4. The use of lima (‘5’ in many Oceanic languages) for 1,000 implies a use counting 5 groups of 200.

Owens & Lean (2018:118) seem to attribute the Wogeo base of 4 to counting on one’s fingers. Alone this leaves too many features of the system unaccounted for, but it is likely that kʷik ‘4’ and its allomorph kiki- reflect a term meaning something like ‘the four fingers of one hand’ (§15.6).

The Sarmi-Jayapura languages Ormu and Yotafa evidently also have a base-4 system, but the data appear confused and analysis uncertain.

6.4. Multiplicative classifiers (MCs)⇫

A multiplicative classifier (MC) is one which refers to a certain number of something, regardless of what the something is. The POc morphemes *[ŋa]puluq ‘100’ and *[ŋa]Ratus ‘1000’ were descended from members of an older classifier class (§14.3). They must still have belonged to the classifier class in POc, as their modern descendants are MCs in languages that have numeral classifiers. In some cases, an enumerative classifier denoting a power of 10 has replaced -puluq or *-Ratus or has become the term for a higher power.

The set below appears to date back to a POc enumerative classifier. Its form suggests that it is derived from POc *ikan ‘fish’, but there is nothing in the glosses of its reflexes that supports this, and why it might have been in competition with POc *puluq is a mystery.

POc *-ika, *ika- ‘unit of 10’ (POc *ikan ‘fish’; vol.4:28–29)
PT Kilivila ika- ‘10 of s.t.’
PT Nimoa (Sabari) ie- ‘10’
PT Sudest ya-, ye-, yo- ‘10’
PMic *-ik[a,e] ‘10 of ??’
Mic Woleaian -ix ‘10 of anything except shells, coconuts and groups’ (Harrison and Jackson 1984: 70)
Mic Mortlockese -ek ‘10 animate beings’
Mic Chuukese -ik ‘10’
Mic Mortlockese -eik ‘10’
Mic Ponapean -ɛk ‘10’
Mic Pulo Annian -ixi ‘10’
Mic Carolinian -ix ‘10’
Mic Sonsorolese -ix ‘10’
Mic Ulithian -ix ‘10’

PCP *[-]rau has replaced POc *-Ratus ‘100’ in, e.g., Samoan se-lau ‘100’ and lua-lau ‘200’. The cognate set is given below. The extended meanings noted for Tongan, Mangarevan and Old Tahitian are derived from counting in pairs (§14.6.3).

The term *[-]rau reflects POc *raun ‘leaf’ and its genesis is discussed briefly below the set.

PCP *rau ‘100’ (POc *raun ‘leaf’, vol.3:103–104)
Fij Bauan drau ‘100’
PPn *[te]rau ‘100’
Pn Tongan -[ŋe]au ‘100 pairs of sugarcane thatch’
Pn Tongan -au ‘100 scores of coconuts or yams’
Pn Niuean te au ‘100’
Pn Samoan se-lau ‘100’
Pn Niuafo’ou te-au ‘100’ (Tongan loan)
Pn East Uvean te-au ‘100’ (Tongan loan)
Pn Tuvalu rau ‘100’
Pn Nukuoro lau ‘100’
Pn Takuu se-lau ‘100’
Pn Rennellese gau ‘100’
Pn Anutan rau ‘100’
Pn East Futunan lau ‘100’
Pn Tikopia rau ‘100’
Pn Pukapukan lau ‘100’
Pn Hawaiian lau ‘100’
Pn Rapanui rau ‘100’
Pn Rapa rau ‘100’
Pn Tuamotuan rau ‘100’
Pn Marquesan ʔau ‘100’
Pn Mangarevan rau ‘100 pairs of breadfruit, pandanus, sugarcane, tools’ (Bender and Beller 2006a)
Pn Māori rau ‘100, a large number’
Pn Old Tahitian rau ‘100 pairs of bonito, breadfruit, coconuts, thatching’ (Lemaître 1985)
Pn Tongarevan rau ‘100’

Owens & Lean (2018:161) wonder whether *Ratus (their *Ratu) and *rau (their *dau) were in competition in POc. This misconstrues the data (see footnote 17). *Ratus and *raun were the POc terms for ‘100’ and ‘leaf’ respectively. Reflexes of *raun replaced *Ratus in certain Oceanic languages. The anecdotal reason for this is given by Codrington (1885:249), who applies it to both *rau and Proto N Vanuatu *udolu.

To count the days after a death a [cycad] frond was taken, and beginning on one side of it a leaflet was counted for each day, one being pinched down as a tally for every tenth. The frond when treated in this way on both sides furnished tallies for a hundred, and the final death-feast was commonly held on the hundredth day.

Fox (1931), talking about Arosi, says,

When husia is reached they nip off the leaves (rawa, rau) of a fern tahutahu, and when they are all nipped off this number was rau [a million, see Table 14.9], said to be 100 husia [10,000], but probably varying in number.

Paraide (2008) reports a similar practice for Tolai.

SE Solomonic, Micronesian and Polynesian in particular have innovated numerals for powers of ten (Harrison & Jackson 1984; Bender & Beller 2006a) and many, if not all, of these seem to have their origin in enumerative classifiers dedicated to counting certain classes of referent that have been generalised to ever larger classes, as Harrison & Jackson recognised when they etymologised certain higher numerals in Micronesian languages. The evidence lies in cognate sets that include both enumerative and multiplicative classifiers. Two such are Proto Malaita-Makira *sinola and *pʷela, which are usually enumerative classifiers in Malaita languages but have apparently been generalised to multiplicative classifiers in Makira. The cognate set reflecting *sinola displays the lability which is typical of decimal systems of enumerative classifiers like that in Table 14.9 above.

Proto Malaita-Makira *sinola ‘10 large fish, 10 collections of ten yams, or ten branches of s.t.’
SES To’aba’ita sinolo ‘10 biggish fish’
SES Lau sinolo ‘10 packets of fish; 10 large garfish; 10 bunches of betelnut’
SES ’Are’are sinora ni ‘1,000, counting food’
SES Sa’a sinola ‘1,000 yams’
SES Ulawa sinola ‘1,000 yams or taro’
SES Arosi sinora ‘10,000 yams or 10 sago branches’
SES Arosi (West) sinora ‘100,000 yams’ (cf Table 14.9)
SES Bauro sɪnola ‘1,000’
SES Oroha sinora ‘1,000’

Proto Malaita-Makira *pʷela ‘1000 coconuts’
SES ’Are’are pera (ni niu) ‘1,000 coconuts’ (ni ASSOC; niu ‘coconut’)
SES Sa’a pʷela ‘1,000 coconuts’
SES Arosi bʷera ‘1,000 coconuts; 1,000’
SES Kahua ɠera ‘1,000’
SES Owa ɓera ‘1,000’
SES Santa Ana pʷera ‘1,000’

6.5. Reconstructing classifiers in lower-order subgroups⇫

The reconstructions below are restricted to certain subgroups, and reflect the fact that early in the history of each subgroup Admiralty, Kilivila-Muyuw and Micronesian languages expanded the repertoire of classifiers beyond those reconstructed for POc above.

6.6. Admiralties⇫

Proto Admiralty (PAdm) has NML-CLF structure along with at least the following classifiers reconstructed above:

    • PAdm *-(ə)fu default inanimate classifier (< POc *-pua; §14.6.1)
    • PAdm *-kai ‘long rigid object; tree’ (< POc *-kai; §14.6.1)
    • PAdm *-manu ‘animate’ (< POc *-manu; §14.6.1)
    • PAdm *-kaba ‘flat object; leaf’ (< POc *-qapa; §14.6.1)
    • PAdm *-buŋu ‘cluster, bundle (usually of fruit)’ (< POc *-buŋV; §14.6.2)
    • PAdm *-iti ‘hand of bananas’ (< POc *-qiti; §14.6.2)

The NML CLF structure was a variant of the POc *NML ŋa CLF structure, but by the breakup of PAdm, POc *ŋa had been lost, except as a fossil in PAdm *-ŋafulu ‘unit of 10’, *-ŋatu ‘unit of 100’ (below) and *-ŋafV ‘fathom’ (§16.2.1).

POc *-ŋapuluq ‘unit of 10’ (cf §14.4.5.2)
Adm Mussau -ŋaulu ‘10’36
PAdm *-ŋafulu ‘unit of 10’
Adm Lou -ŋoul ‘10’
Adm Baluan -ŋal ‘10’
Adm Ponam -ŋuf ‘10’ (abbreviated reflex)
Adm Titan -ŋol ‘10’
Adm Kele -ŋʷah ‘10’ (abbreviated reflex)
Adm Nyindrou -noh ‘10’
PEAd *-ŋatu ‘unit of 100’
Adm Lou -ŋot ‘100’
Adm Baluan -ŋot ‘100’
Adm Ponam -ŋat ‘100’
Adm Titan -ŋat ‘100’
Adm Kele -ŋat ‘100’
Adm Loniu -ŋat ‘100’
Adm Loniu -ŋon ‘100’
Adm Nyindrou -nek ‘100’

The first three cognate sets below are attributed to PAdm because they have reflexes from both Western (Wuvulu, Seimat) and Eastern Admiralty languages (the rest).

PAdm *-Ruma ‘house’ (< POc *Rumaq ‘house’; vol.1:48–49)
Adm Seimat -hu ‘house’
Adm Titan -em ‘house’
Adm Kele -im ‘building’
Adm Ere -ʔim ‘house’
Adm Nali -um ‘house’
Adm Loniu -[w]em ‘house’
Adm Drehet -ʔiŋ ‘house’
Adm Bohuai -ʔem ‘house’
Adm Mondropolon -em ‘house’
Adm Nyindrou -em ‘house’
PAdm *-mʷaw ‘animate; person (?)’
Adm Wuvulu -mea ‘animate’
Adm Lenkau -mow ‘animate’
Adm Lou -mo, -om ‘animate’
Adm Baluan -m ‘animate being’
Adm Titan -mo ‘animate’ (Bowern 2011) ; ‘human’
Adm Kele -mow ‘animate’
Adm Kurti -mow ‘animate’
Adm Papitalai -mow ‘person’
Adm Lele -mow ‘animate’
Adm Nali -mow ‘animate’
Adm Loniu -mɔw ‘person; loose dog’s tooth; feather; fish’
Adm Drehet -mop ‘animate’
Adm Bohuai -mʷaw ‘animate’
Adm Mondropolon -mow ‘animate’
PAdm *-potV ‘fire, firewood’
Adm Seimat -hot ‘fire’
Adm Lou -pot ‘fire’
Adm Loniu -pot ‘pile of firewood’

For the four cognate sets below there is no Western Admiralty reflex. Three of them have a POc origin, but there is no way of knowing whether or not they became classifiers at a stage earlier than PAd.

PEAd *-fatV ‘container, bag, basket’
Adm Ponam -fat ‘bag’
Adm Kele -hat ‘container’
Adm Kurti -hat ‘basket’
Adm Papitalai -hat ‘basket’
Adm Loniu -hat ‘mat; basket; carrying bag’
Adm Drehet -hak ‘bag’
Adm Nyindrou -hak ‘sago containers’

PEAd *-polV ‘(longitudinal?) half’ (< POc *pʷali- ‘one half or side of something symmetrical’)
Adm Lou -pol ‘half: side of village’
Adm Baluan -pʷol ‘half of round object’
Adm Ponam -ʙul ‘half of something broken lengthwise; one of pair’ (cog?)
Adm Kele -bul ‘longitudinal halves’
PEAd *-cala ‘path’ (< POc *jalan ‘path’, vol.1:61–62)
Adm Kele -sal ‘paths’
Adm Loniu -can ‘road, path, boundary’
Adm Drehet -saŋ ‘path’
Adm Nyindrou -san ‘roads; organised groups; intervals or sequences of time’
PEAd *-koro ‘village’ (POc *koro ‘fenced-in area’; ‘? settlement fortified by barrier’; §5.4)
Adm Kele -kor ‘village’
Adm Drehet -koŋ ‘place/village/town/area’
Adm Nyindrou -kon ‘villages or places’

6.7. Papuan Tip⇫

PPT (PPT) had CLF-NML structure, along with at least the following classifiers reconstructed above:

    • PPT *kai[u]- ‘default inanimate classifier (?); long rigid object; wooden thing’ (< POc *kai; §14.6.1)
    • PPT *tau- ‘human; male human (?)’ (< POc *tau-; §14.6.1)
    • PPT *manu- ‘animal’ (< POc *manu-; §14.6.1)
    • PPT *waRo- ‘a bundle of coconuts’ (< POc (?) *waRo-; §14.6.3)
    • PPT *ika- ‘10 of s.t.’ (< POc *ika-; §14.6.4)

The retention of a reflex of PPT *kai[u]- as either a fossil prefix or as one of very few classifiers in Central Papuan languages suggests that it may have been the default inanimate classifier in the shared ancestor of these languages, namely PPT. It was the odd one out among Oceanic subgroups in that it replaced the POc default inanimate classifier *pua- (§14.6.1). The only groups of languages within Papuan Tip to retain more than a very few classifiers as part of a productive system are Kilivila–Muyuw (Malinowski 1920; Lawton, 1993; Senft 1995) and Sudest–Nimoa (Anderson & Ross 2002).

6.8. Micronesian⇫

Like Proto Admiralty, Proto Micronesian had NML-CLF structure. It retained from POc at least the following classifiers reconstructed above:

    • PMic *-ua default numeral classifier (< POc *-pua; §14.6.1)
    • PMic *-kai ‘plant, tree, stick’ (< POc *-kai; §14.6.1)
    • PMic *-dau ‘animate; person’ (< POc *-tau; §14.6.1)
    • PMic *-manu ‘animate’ (< POc *-manu; §14.6.1)
    • PMic *-bui ‘group, herd’ (< POc *-pui; §14.6.2)
    • PMic *-iti ‘hand of bananas’ (< POc *-qiti; §14.6.2)
    • PMic *-ik[a,e] ‘10 of s.t.’ (< POc *-ika; §14.6.4)
    • PMic *-ŋawulu ‘unit of ten’ (see below)
PMic *-ŋawulu ‘unit of 10’ (< POc *ŋapuluq; cf §14.4.5.1)
Mic Kosraean -ŋʌul ‘unit of 10’
Mic Kiribati -ŋaun ‘unit of 10’ (except things counted with -ua)
Mic Marshallese -ŋoul ‘unit of 10’
Mic Ponapean -ŋowl ‘unit of 10’
Mic Puluwatese -ŋōl ‘unit of 10’
Mic Mortlockese -ŋōl ‘unit of 10’ (counting inanimates)
Mic Chuukese -ŋōn ‘unit of 10’ (used only for ‘10’; not used for 20–90)
Mic Woleaian -ŋaul ‘unit of 10’ (counting groups; Sohn & Tawerilmang 1976:107)
Mic Ulithian -ŋɔlo ‘bundle of 10 coconuts’ (Sohn and Bender 1983)

Micronesian also has a number of unit-of-measurement classifiers with reconstructions in Chapter 16:

    • PMic *ŋafa ‘fathom’ PChk *yaŋa ‘finger span’
    • PCMic *-mʷanū ‘length from elbow to finger tips’
    • PChk *dila-wupʷa ‘distance from outstretched finger-tip to mid-chest (lit. ‘breast split’)
    • PMic *-mʷanū ‘length from elbow to finger tips’
    • PChk *makoto-ciki ‘length of one finger segments’
    • PChk *makoto-lapa ‘length of two finger segments’
    • Proto Chuukese *-tudu ‘finger-length’

The NML CLF structure was a variant of the POc NML *ŋa CLF structure, but by the breakup of PMic, POc *ŋa had been lost, except as a fossil in PMic *-ŋawulu ‘unit of 10’ (above) and *-ŋafa ‘fathom’ (§16.2.1), and as a prenasalisation in PMic *-dau ‘animate; person’ and *-bui ‘group, herd’.

Although Nauruan is excluded from Bender et al. (2003a)—presumably because its historical phonology remains almost unknown (Nathan 1973; Johnson 1999)—it is generally assumed that PMic and Nauruan form the primary branches of a ‘Greater Micronesian’ subgroup. If a classifier has a Nauruan reflex as well as reflexes from other Micronesian languages, that classifier can be attributed to Proto Greater Micronesian (PGMic).37 However, Nauruan historical phonology is so poorly understood that no attempt is made at PGMic reconstruction.

According to Bender et al. (2003a:3), the internal classification of Micronesian languages other than Nauruan is as follows:

    • Micronesian Kosraean
    • Central Micronesian Kiribati
    • Western Micronesian
      • Marshallese
      • Ponapeic-Chuukic
        • Ponapeic: Ponapean, Pingelapese, Mokilese
        • Chuukic: Chuukese, Puluwat, Mortlockese, Satawalese, Carolinian, Woleaian, Pulo Annian, Ulithian

Kosraean and Marshallese have all but lost their numeral classifiers. Their loss in Kosraean means that PMic classifiers cannot be reconstructed on the basis of internal evidence alone. If there is a Kiribati reflex, then a Proto Central Micronesian (PCMic) reconstruction can be made. Failing that—given the virtual absence of Marshallese classifiers—only a Proto Chuukic-Ponapeic (PPC) reconstruction can be made. If, on the other hand, there is a reflex of the classifier outside Micronesian, then a PMic reconstruction is possible.

Six classifiers with a Nauruan cognate can be reconstructed for PMic.

PGMic *[pa]paq[a]- ‘coconut frond’ (< POc; vol 3:380–381)
Mic Nauruan -bɛ ‘coconut frond’
PMic *paa ‘leaf and stalk, frond’ (Bender et al. 2003a)
Mic Ponapean -pa ‘frond’
Mic Puluwatese -pa ‘garland, bead belt, lei’
Mic Chuukese -pa ‘palm frond, garland, stalk with leaves’
Mic Satawalese -pæ ‘coconut leaves or taro leaves’
Mic Carolinian -pa ‘flower leis and compound leaves’
Mic Woleaian -pā ‘palm frond, lei, shell bead belt’
Mic Sonsorolese -pa ‘coconut leaf, pandanus leaf’

PGMic

Mic Nauruan -dume ‘packet’
PMic *-sukumV ‘package, packet’
Mic Puluwatese -tɨkɨm ‘package’
Mic Chuukese -tʉkʉm ‘package, packet’

PGMic *boŋi ‘night, 24-hour day’ (< POc; vol 2:295–297)
Mic Nauruan -bumi ‘night’
PMic *-pʷoŋi ‘night’
Mic Kiribati -poŋ ‘day’
Mic Mokilese -pʷoŋ ‘days hence’
Mic Ponapean -pʷoŋ ‘night’
Mic Puluwatese -pʷoŋ ‘night’
Mic Carolinian -bʷoŋ ‘night (esp the taboo nights of a funeral wake)’
Mic Sonsorolese -bɔŋi ‘night, timespan’
Mic Ulithian -boŋo ‘night’
PGMic *raun ‘leaf’ (< POc; vol.3:103–104)
Mic Nauruan -ra- ‘flat object’
PMic *-cau ‘thin ( flat object), leaf’
Mic Ponapean -c̣e ‘leaf, sheet’
Mic Puluwatese -ɽə̄ ‘flat object’
Mic Chuukese -c̣ə ‘leaflike, sheet’
Mic Satawalese -ɽə ‘flat object, e.g. leaf’
Mic Carolinian -ʂə ‘page, flat leaves, pieces of paper’
Mic Woleaian -ʂə ‘flat object’
Mic Sonsorolese -saw ‘flat, thin object’
Mic Ulithian -cayə ‘leaflike object’
PGMic *pʷuku ‘node, joint, knot, knee’ (< PMic; < POc *buku- ‘mound, knob, joint; (?) elbow, knee’; vol.5:175)
Mic Nauruan -bu ‘100’
PMic *-pʷukua ‘100’
Mic Kosraean -fok ‘100’
Mic Kiribati -pʷupʷua ‘100’ (of anything except coconuts)
Mic Marshallese -bʷikʷiy ‘100’
Mic Mokilese -pʷiki ‘100’
Mic Ponapean -pʷiki ‘100; or 1,000 coconuts’
Mic Puluwatese -pʷʉkʉw ‘100’
Mic Mortlockese -pʷʉkʉ ‘100’
Mic Chuukese -pʷʉkʉ ‘100’
Mic Satawalese -pʷʉkʉw ‘100’
Mic Carolinian -bʷɨxɨw ‘100’
Mic Woleaian -pʷʉxʉwe ‘100’
Mic Ulithian -buxuy ‘100’
PGMic *kisi ‘small, little’ (< PMic; Bender et al 2003a)
Mic Nauruan -kɛ ‘small parts of s.t’
PMic *-kisi ‘small parts of s.t.’
Mic Mokilese -kic ‘bit’
Mic Ponapean -kis ‘small piece of fragment’
Mic Chuukese -kis ‘portion’
Mic Woleaian -xiti ‘small piece’

Below is one PCMic reconstruction. It is possible that this dates to POc, as Wuvulu (Adm) -papa also is used of flat objects.

Proto Central Micronesian *-papa ‘flat object’ (< POc *baban ‘board, plank, leaf’; vol.1:58)
Mic Kiribati -pā ‘sheet or flat object; leaf’
Mic Satawalese -pə ‘flat object’
Mic Woleaian -pə ‘flat object’

Numerous Proto Chuukic-Ponapeic and PChk classifiers could be added. They are omitted for reasons of space.

6.9. Polynesian⇫

PPn retained both POc classifier structures, NML *ŋa CLF and CLF NML, but the classifier after *ŋa was always enumerative and denoted a multiple of the thing counted (§14.3). Clark (1999) observes that the latter structure is rare in Tongic and East Polynesian languages. Unlike Admiralties and Micronesian languages, Polynesian languages use a classifier only with a restricted class of abundant and culturally significant items (§14.6.3).

Certain Tongan classifiers imply that Tongan retained a third POc classifier structure for which only sporadic evidence remains: NML + CLF-*qi/*ni, followed by the counted/ classified noun. This was an application of the POc specific possession structure (Ross 1998b:249). The classifiers concerned are -fo-ʔi ‘coconut’ and -taua-ʔi ‘pair of coconuts’. The structure appears to be cognate with one found in SE Solomonic languages:

    1. Tongan (Pn)
      ‘one pair of coconuts’
      ha-taua-ʔi niu
      one-CLF-ASSOCIATIVE coconut
    2. To’aba’ita (SES): (Lichtenberk 2008b:300)
      ‘10 sets of shell money’ (kobi-ʔi ‘ a ten of’)
      teʔe kobi-ʔi tāfuliʔae
      one CLF-ASSOCIATIVE set.of.shell.money
    3. Lengo (SES): (Hill & Unger 2018:131)
      ‘one “ten-animals” of fish’ (paga ‘ten animals’)
      sakai na paga ni iɣa
      one ART CLF ASSOCIATIVE fish

PPn retained the POc NML *ŋa CLF structure along with at least the following classifiers reconstructed elsewhere:

    • PPn *-fui ‘set of 5 pairs (of coconuts etc)’ (§14.6.2)
    • PPn *-fulu ‘unit of 10’ (< POc *-puluq)
    • PPn *-rau ‘unit of 100’ (§14.6.4)
    • PPn *-kumi ‘ten fathoms high or deep’ (§16.2.5)

Table 14.13 Decades in Proto Polynesian and Polynesian languages
PPn *sa=[ŋa ]fulu *rua [ŋa ]fulu *tolu ŋa fulu *fā ŋa fulu *nima ŋa fulu
Tongic Tongan ho-ŋo-fulu _uo-fulu tolu-ŋo-fulu fā-ŋo-fulu nima-ŋo-fulu
Niuean ho-ŋo-fulu _ua-fulu tolu-ŋo-fulu fā-ŋo-fulu nima-ŋo-fulu
Samoic Niuafo’ou ho-ŋo-fulu _lua-fulu tolu-ŋo-fulu fā-ŋo-fulu nima-ŋo-fulu
se-fulu lua-fulu tolu-ŋa-fulu fā-ŋa-fulu lima-ŋa-fulu
Takuu si-na-huru — — — —
Rennellese a-ŋa-hugu — — — —
Ifira-Mele ŋa-furu — — — —
Luangiua ŋa-furu lua-hui ton-nu-hui han-na-hui lima-na-hui
W Futuna ta-ŋo-furu roŋofuru — — —
Pukapukan a-ŋa-ulu (archaic) — — — —
EPn Rapanui ʔa-ŋa-huru — — — —
Tahitian ʔa-huru — — — —
Marquesan ʔo-no-huʔu — — — —
Tahitian ʔa-huru — — — —
Rurutuan ʔa-ʔuru — — — —
Rarotongan ŋa-huru rua-ŋa-huru toru-ŋa-huru ʔā-ŋa-huru rima-ŋa-huru
Tuamotuan a-ŋa-huru — — — —

Supporting data for PPn *-fulu are shown in Table 14.13. Horizontal lines separate the Tongic languages from Samoic and Samoic from EPn. Hyphens indicate historic morpheme divisions, and not necessarily present ones. A dash indicates that the numeral does not reflect the PPn form. Luangiua -hui reflects PPn *-fui (§14.6.2), not *-fulu, but the forms are included in the table because they illustrate the fact that *ŋa is sometimes absent after PPn *rua ‘2’ before classifiers other than *-fulu.

Other reconstructable classifiers that occur in the same slot include PPn *-fua ‘10 of s.t.’. In Polynesian languages other than Tongan, it is fua-, rather than -fua, that marks a multiple of 10, but it is included here because it appears to be cognate with Wuvulu -fua ‘10’, which reflects the NML *ŋa CLF structure. It apparently reflects POc *-pua ‘default inanimate; round object’ but here has an enumerative or multiplicative function.

POc *-pua ‘10 roundish objects’ (?)
Adm Wuvulu (se)fua ‘10’ (1×10)
Adm Wuvulu (ʔolu)fua ‘30’ (3×10)
PPn *-fua ‘10 tens or scores of certain food items’ (?)
Pn Tongan -fua ‘ten scores of coconuts’
Pn Samoan -fua ‘fowls, breadfruit, and some shell-fish’ (Pratt 1862)
Pn Samoan fua- ‘10 coconuts’ (Pratt 1862: ‘10 fowls, breadfruit or shellfish’)
Pn Tuvalu (te)fua ‘100 coconuts’

One other classifier that followed the numeral was PPn *-kau. One of its meanings was ‘a score, 10 pairs’. It is not obvious how this relates to the Samoan and Rennellese glosses.

PPn *-kau ‘a score, 10 pairs’
Pn Tongan -kau ‘score of coconuts or yams’
Pn Samoan -ʔau ‘bunch of bananas’
Pn Rennellese -kau ‘pair of yams or breadfruit’
Pn Marquesan (te)kau ‘20’
Pn Rurutu (ta)ʔau ‘20’

A number of other such classifiers are found in Tongan, Samoan and Rennellese, but they do not form cognate sets.

PPn retained the POc CLF NML structure along with at least PPn *mata- ‘10 fish; 10 taro’ (§14.6.2). One other preposed PPn classifier can be reconstructed. It appears only to have been used with the numerals 1–9.

PPn *toka- ‘person’ (Clark 1999)
Pn Tongan toko- ‘people’
Pn Samoan toʔa- ‘people’
Pn Rennellese toka- ‘animates’
Pn Takuu taka- ‘humans’
Pn Luangiua toka- ‘humans’
Pn Rarotongan toko- ‘humans’
Pn Māori toko- ‘humans’

This is the only preposed classifier that survives in EPn languages. As a result, the classifiers below, which have neither a Tongan nor an EPn reflex, must be attributed to Proto Samoic.

These preposed classifiers, all of which originally counted tens of something, inherited from Proto Samoic the odd feature noted by Clark (1999) that, when they count ‘one ten’ , ‘one’ is expressed by a reflex of Proto Samoic *-a-ŋa-fulu, which includes the postposed classifier for ‘ten’. When they count from 2 upward, normal numerals are used. Hence, for example, Rennellese tino aŋahugu ‘10 people’ but tino gima ‘50 people’ (gima ‘5’); Samoan ʔau ŋa-ulu ufu ‘10 yams’ (ʔau- ‘10 yams’; ufu ‘yam’) but ʔau-lua ufu ‘20 yams’ (lua ’2’).

Proto Samoic *tino- ‘animate being’
Pn Samoan tino- ‘people’
Pn Tuvalu tino- ‘people’
Pn Rennellese tino- ‘10 animates’
Pn Takuu tino- ‘10 humans’
Pn Tokelauan tino- ‘people, birds, octopus, skipjack’
Pn Pukapukan tino- ‘10 humans, 10 skipjack’

Proto Samoic *fua- ‘unit of ten’ (POLLEX)
Pn Samoan fua- ‘10 coconuts’ (Pratt 1862: ‘10 fowls, breadfruit or shellfish’)
Pn Tuvalu fua- [prefix indicating ‘ten times’]
Pn East Futunan fua- ‘unit of ten’
Pn Nukuoro hua [numeral classifier, by tens, for fruit]
Pn Tikopia fua- [numeral prefix: ‘ten times’]
Proto Samoic *lau- ‘unit of ten’
Pn Samoan lau- ‘10 big fish’
Pn Rennellese gau- ‘10 flat objects’
Pn Pukapukan lau- ‘10’
PNPn *kau- ‘10 roundish objects’
Pn Samoan ʔau- ‘10 yams’
Pn Luangiua kau- ‘10 puddings, 10 mats, 10 years’
Pn Pukapukan kau- ‘10 fruit, round objects, oven stones, pandanus leaves, plaited wall mats’

7. Conclusions⇫

The main conclusion to be drawn from this chapter is that the inherited POc decimal system was fairly restricted in its use. Using simple numerals up to 100, one can construct complex numerals up to 999, and early Oceanic speakers skilled in counting could probably count far beyond this. Numbers up to 20 doubtless had limited everyday uses, but the system was mainly used by senior men to count produce of various kinds in wealth redistribution and exchange (§14.1.2.1). It is reasonably certain that only a small number of men in any community knew the community’s numeral system in detail, and the passing of such a large and complex system by a few men from generation to generation meant that it was prone to change, especially in the least used, i.e. the highest echelons, of the system (§14.4.6).

With one exception, reconstruction of POc decimal numerals is straightforward, and the reconstructions need not be repeated here. They are set out in Table 14.1 on §14.1.2 and justified in sections 14.4.2 and 14.4.3 and their subsections. The exception is the numeral form for ‘one’. When it was attached to a classifier, its form was *sa-. Unattached forms apparently included *(i)sa, *ta-sa, *tai, *ta-kai and *sa-kai (§14.4.1 and subsections). Why there are so many reconstructable forms is not known. Did they have different functions? Or were they the result of an emphatic forms meaning ‘one only’ becoming non-emphatic? What role, if any, did the POc dislike of single-syllable lexical morphemes play in their formation?

Inherited numerals containing the sequences *-[ŋa]puluq LIGATURE + ‘unit of ten’ and *-[ŋa]Ratus LIGATURE + ‘unit of hundred’ underwent various reanalyses in early Oceanic and point to the existence of dialects by the time POc broke up (§14.4.5.2).

The inherited POc system also entailed the use of numeral classifiers in two constructions: NUMERAL [*ŋa] CLASSIFIER and CLASSIFIER NUMERAL (§14.3). The only subgroup of Oceanic languages to retain both constructions with any degree of productivity is Polynesian (§14.6.9), and it is likely that, as with the few surviving Polynesian systems, the use of enumerative classifiers in POc was limited to nouns denoting culturally salient and abundant objects, rather than being used with all counted nouns as in Admiralties, Kilivila and Micronesian languages. Supporting evidence for this inference lies in the limited number of POc classifiers reconstructable (see below) and in the ease with which classifiers have been lost in many Oceanic languages. The Admiralties, Kilivila and Micronesian languages, on the other hand, represent an elaboration of the classifier system to cover all nouns. Senft’s (1995) work on Kilivila, where elaboration appears to be ongoing, implies that one reason for the elaboration is an appreciation of rhetoric in Kilivila society: subtle use of classifiers is one feature of a good public speech.

A complication here is that PPn classifiers with the structure NML *ŋa-CLF always counted multiples of items, i.e. were always numeral classifiers. Was this true of their POc forebears? Quite possibly, but non-Polynesian data that would clinch this do not exist.

A question touched on only briefly in this chapter is whether digit tallying, i.e. counting on fingers and sometimes toes, already influenced numeral systems in early Oceanic times. This is the topic of the following chapter.

Appendix to chapter 14

This list contains references to sources of grammatical data, numerals and classifiers used in the present chapter and chapters 15 and 16 and not listed under sources of lexical data in Appendix A

Not listed below are the following. Many of the numeral forms from NCV languages of Malakula, Vanuatu, were collected by Aviva Shimelman in 2015–2016 under the aegis of the Vanuatu Languages and Lifeways project of the Max Planck Institute for the Science of Human History, Jena. Many numeral forms and occasional information about classifier forms are found on the Institute’s website Numeral Systems of the World’s Languages (https://lingweb.eva.mpg.de/channumerals/Austronesian-Eastern.htm) collated by Eugene Chan. Much of the data on numerals and classifiers in languages of Papua New Guinea is from Malcolm Ross’ fieldnotes, collected during the years 1978–1982.

Amara Thurston 1996a
Ambai Silzer 1983
Ambel Arnold 2018
Anejom̃ Lynch 2000b
Apma Schneider 2010
Araki François 2002
Are Paisawa, Pagotto & Kale 1975
Aria Thurston 1996b
Arop-Lokep D’Jernes 1990; D’Jernes 2002; Raymond 2005
Arosi Fox 1931; Capell 1971
Atchin Capell & Layard 1980
Avava Crowley 2006a
Baetora Ivens 1940b
Balawaia Kolia 1975
Baluan Schokkin 2020
Banoni Lincoln 1976b
Barim Raymond 2005
Barok Du 2010
Bauan Fijian Churchward 1941
Belep McCracken 2012
Big Nambas Fox 1979
Bing Bennett & Bennett 1998
Boumā Fijian Dixon 1988
Bugotu Ivens 1933
Bukawa Eckermann 2007
Buli Maan 1951
Buma Tryon 2002
Buru Grimes 1991
Caac Cauchard 2014
Carolinian Fritz 1911; Harrison & Jackson 1984
Chuukese Benton 1968; Harrison & Jackson 1984; Bender & Beller 2006b
Daakaka von Prince 2012
Dami Elliott 1979
Dawawa Knauber & Knauber 1990
Dobu Arnold 1931
Duau Thune 1978
E Kara Dryer 2013
Engdewo Vaa 2013
Fehan Tetun van Klinken 1999
Gabadi Strong 1912
Gapapaiwa McGuckin 2002
Gedaged Dempwolff n.d.
Halia Allen 1987
Hawaiian Elbert & Pukui 1979; Bender & Beller 2006a, 2006b
Hawu Walker 1982
Hoava Davis 2003
Hula Lean 1991
Hula Short 1935
Javanese Robson 1992
Kairiru Wivell 1981a
Kaiwa Bradshaw 2001
Kalo King et al. 2014
Kambera Klamer 2010
Keapara King et al. 2014
Kele Ross 2002f
Kéo Baird 2002
Kilivila Malinowski 1920; Lawton 1993; Senft 1995
Kiribati Harrison & Jackson 1984; Groves, Groves & Jacobs 1985; Bender & Beller 2006b, 2007a
Kokota Palmer 2009
Koro Cleary-Kemp 2015
Kosraean Lee 1975; Harrison & Jackson 1984
Kove Sato 2012
Kubokota Chambers 2009.
Kwaio Keesing 1985
Kwamera Lindstrom & Lynch 1994
Label Peekel 1930
Lala Symonds 1989
Lamaholot Nishiyama & Kelen 2007
Lamogai Thurston 1996b
Lau Ivens 1929b
Lelepa Lacrampe 2014
Lengo Hill & Unger 2018
Lengo Unger 2008
Lewo Early 1994a
Longgu Hill 1992
Loniu Hamel 1994
Lonwolwol Paton 1971
Lou Stutzman 1994
Maeng Müller 1907
Magey Matbat Remijsen 2010
Maleu Haywood 1996
Manam Lichtenberk 1983
Mangap Bugenhagen 1995
Mangarevan Lemaître 1985; Bender & Beller 2006b
Māori Bender & Beller 2006a, 2006b
Maringe Boswell 2018
Marquesan Lemaître 1985; Bender & Beller 2006a, 2006b
Marshallese Harrison & Jackson 1984
Maskelynes Healey 2013
Matukar Anderson et al. 2010; Barth 2012b
Mav̋ ea Guérin 2011
Merei Chung 1998
Minaveha Lovell 1994
Miniafia Wakefield 1975
Minigir van der Mark 2007
Mokilese Harrison 1976; Harrison & Jackson 1984
Molima Engkvist & Engkvist 1997
Mortlockese Harrison & Jackson 1984
Motu Lister-Turner & Clark 1954b; Lean 1991
Mouk Thurston 1996b
Mussau Brownie & Brownie 2007
Muyuw Lithgow & Lithgow n.d.
Mwotlap François 2003b
Nadrogā Geraghty 2002
Nahavaq Dimock 2009
Nakanai Johnston 1980
Nalik Volker 1998
Namakir Sperlich 1991
Naman Crowley 2006c
Nauruan Kayser 1993
NE Ambae Hyslop 2001
Nehan Glennon 2014
Nêlêmwa Bril 2014
Nese Crowley 2006d
Neve’ei Musgrave 2007
Neverver Barbour 2012
Nguna Schütz 1969
Niuafo’ou Tsukamoto 1988
Notsi Erickson & Erickson 1992
Nukuoro Carroll 1965; Bender & Beller 2006a, 2006b
Nyelâyu Ozanne-Rivierre 1998
Paamese Crowley 1982
Papapana Smith-Dennis 2020
Patpatar Condra 1989
Poeng Panoff 1970; Rath 1996
Ponam Carrier 1981
Ponapean Rehg 1981; Harrison & Jackson 1984; Bender & Beller 2006b
Pukapukan Beaglehole & Beaglehole 1938; Salisbury 2002
Puluwatese Elbert 1974; Harrison & Jackson 1984
Ramoaaina Davies & Fritzell 1992
Rapanui Bender & Beller 2006a
Rennellese Elbert 1988; Bender & Beller 2006a
Roinji Lincoln 1978
Rongga Arka 2008
Roviana Corston 1996
Sa Garde 2015
Sa’a Ivens 1918
Sakao Guy 1974; Touati 2014
Saliba Mosel 1994
Samoan Mosel & Hovdhaugen 1992; Bender & Beller 2006a, 2006b
SE Ambrym Labrecque 2009
Seimat Wozna & Wilson 2005
Siar Rowe 2005; Frowein 2011
Sikaiana Capell 1935-1937
Sinaugoro Tauberschmidt 1999
Sio Clark & Clark 1987
Sisiqa Ross 2002g
Sobei Sterner & Ross 2002
Sonsorol Capell 1969
South Efate Thieberger 2006a
Sudest Anderson & Ross 2002
Sursurunga Hutchisson 1975
Sye Crowley 1998
Tabar Hong & Hong 2003
Tahitian Bender & Beller 2006a, 2006b
Takuu Moyle 2011
Tamambo Jauncey 2011b
Tami Bamler 1900
Tangga Maurer 1966
Tape Crowley 2006b
Tawala Ezard 1997
Teop Mosel & Thiesen 2007
Tinrin Osumi 1995
Tirax Brotchie 2009
Titan Bowern 2011
To’aba’ita Lichtenberk 2008b
Tolai Mosel 1984
Tolai Paraide 2008
Tongan Churchward 1953; Bender & Beller 2006a, 2006b, 2007a, 2007b
Tungak Fast 1990
Tuvalu Besnier 2000
Ughele Frostad 2012
Ulawa Ivens 1918
Ulithian Sohn & Bender 1983; Harrison & Jackson 1984; ; Bender & Beller 2006b
Unua Pearce 2015
Ura Lynch 1983c; Crowley 1999
Uripiv McKerras 1988
Utaha Lynch 1983d
Varisi Scheffler 1958–1961
Vera’a Schnell 2011
Vitu van den Berg & Bachet 2006
Vurës Malau 2016
Waima’a Himmelmann 2010
Wogeo Exter 2010
Woleaian Alkire 1970; Sohn 1975; Harrison & Jackson 1984; Bender & Beller 2006b, 2007a
Wuvulu Hafford 2014
Xârâcùù Moyse-Faurie 1995
Yabem Dempwolff 1939; Bradshaw & Czobor 2005
Yapese Jensen 1977
Zabana Fitzsimons 1989

Notes⇫