Some languages of the world have numeral systems that do not make use of an arithmetic base. One such system is the body-part counting system which make use of further body parts to extend the system beyond the ten fingers. [1]
Counting typically begins by touching (and usually bending) the fingers of one hand, moves up the arm to the shoulders and neck, and in some systems, to other parts of the upper body or the head. A central point serves as the half-way point. Once this is reached, the counter continues, touching and bending the corresponding points on the other side until the fingers are reached. [2]
The body-part counting system is quite typical of a number of languages within the New Guinea Highlands. [1]
For example, in Kobon, the body parts on the left-hand side of the body are used in order to count from 1 to 12. The count can then continue down the right-hand side of the body up to 23. [1] It is then possible to reverse the count, starting from the end point on the right as 24 back up to the 12th position on the left as 35, then down again to the end point on the left as 46.
One effect of this is that the names of particular body parts when used as numerals are multiply ambiguous. The same body part can represent multiple numbers depending on the how many passes across the body were made. There are usually means, optional or obligatory depending on the language, to distinguish the second side of the body used in a count from the first, as well as to indicate which pass across the body is being used, but there is no productive means to identify other than a small number of passes across the body. [1]
In linguistics, a numeral in the broadest sense is a word or phrase that describes a numerical quantity. Some theories of grammar use the word "numeral" to refer to cardinal numbers that act as a determiner that specify the quantity of a noun, for example the "two" in "two hats". Some theories of grammar do not include determiners as a part of speech and consider "two" in this example to be an adjective. Some theories consider "numeral" to be a synonym for "number" and assign all numbers to a part of speech called "numerals". Numerals in the broad sense can also be analyzed as a noun, as a pronoun, or for a small number of words as an adverb.
Trans–New Guinea (TNG) is an extensive family of Papuan languages spoken on the island of New Guinea and neighboring islands, a region corresponding to the country Papua New Guinea as well as parts of Indonesia.
Kobon is a language of Papua New Guinea. It has somewhere around 90–120 verbs.
The Lower Mamberamo languages are a recently proposed language family linking two languages spoken along the northern coast of Papua province, Indonesia, near the mouth of the Mamberamo River. They have various been classified either as heavily Papuanized Austronesian languages belonging to the SHWNG branch, or as Papuan languages that had undergone heavy Austronesian influence. Glottolog 3.4 classifies Lower Mamberamo as Austronesian, while Donohue classifies it as Papuan. Kamholz (2014) classifies Warembori and Yoke each as coordinate primary subgroups of the South Halmahera–West New Guinea languages.
The Arapesh languages are several closely related Torricelli languages of the 32,000 Arapesh people of Papua New Guinea. They are spoken in eastern Sandaun Province and northern East Sepik Province, Papua New Guinea.
The Central Solomon languages are the four Papuan languages spoken in the state of Solomon Islands.
Oksapmin is a Trans–New Guinea language spoken in Oksapmin Rural LLG, Telefomin District, Sandaun, Papua New Guinea. The two principal dialects are distinct enough to cause some problems with mutual intelligibility.
Finger-counting, also known as dactylonomy, is the act of counting using one's fingers. There are multiple different systems used across time and between cultures, though many of these have seen a decline in use because of the spread of Arabic numerals.
Duwet, also known as Guwot or Waing, is an aberrant member of the Busu subgroup of Lower Markham languages in Morobe Province, Papua New Guinea. Duwet is spoken by about 400 people and appears to have been heavily influenced by its neighboring Nabak language of the Papuan Trans–New Guinea languages. It is spoken in the three villages of Lambaip, Lawasumbileng, and Ninggiet.
The Greater Awyu or Digul River languages, known in earlier classifications with more limited scope as Awyu–Dumut (Awyu–Ndumut), are a family of perhaps a dozen Trans–New Guinea languages spoken in eastern West Papua in the region of the Digul River. Six of the languages are sufficiently attested for a basic description; it is not clear how many of the additional names may be separate languages.
The Central and South New Guinea languages (CSNG) are a proposed family of Trans–New Guinea languages (TNG). They were part of Voorhoeve & McElhanon's original TNG proposal, but have been reduced in scope by half in the classification of Malcolm Ross. According to Ross, it is not clear if the pronoun similarities between the four remaining branches of Central and South New Guinea are retentions for proto-TNG forms or shared innovations defining a single branch of TNG. Voorhoeve argues independently for an Awyu–Ok relationship, and Foley echoes that Asmat may be closest to Awyu and Ok of the TNG languages. Regardless, the four individual branches of reduced Central and South New Guinea are themselves clearly valid families.
The Angan or Kratke Range languages are a family of the Trans–New Guinea languages in the classification of Malcolm Ross. The Angan languages are clearly valid as a family. They were first identified as such by J. Lloyd and A. Healey in 1968; Wurm (1975) classified them as Trans–New Guinea. Glottolog treats Angan as a separate or unclassified family, ignoring further evidence.
The Ok languages are a family of about a dozen related Trans–New Guinea languages spoken in a contiguous area of eastern Irian Jaya and western Papua New Guinea. The most numerous language is Ngalum, with some 20,000 speakers; the best known is probably Telefol.
Haruai is one of two languages of the Piawi family of New Guinea. The language has borrowings from Kalam. Young men are likely to know Kobon and Tok Pisin, but many Haruai are monolingual. Haruai is also commonly known as Waibuk, also Wiyaw, Wovan, Taman.
Telefol is a language spoken by the Telefol people in Papua New Guinea, notable for possessing a base-27 numeral system.
Foi, also known as Foe or Mubi River, is one of the two East Kutubuan languages of the Trans-New Guinea family spoken along Lake Kutubu and Mubi River, located in the Southern Highlands Province of Papua New Guinea. Dialects of Foi are Ifigi, Kafa, Kutubu, Mubi. A Swadesh list for the Foi language was documented by The Rosetta Project in 2010. The estimated number of Foi speakers as of 2015 is between 6,000 and 8,000.
Mandobo, or Kaeti, is a Papuan language of Mandobo District in Boven Digoel Regency, Papua, Indonesia.
Proto-Trans–New Guinea is the reconstructed proto-language ancestral to the Trans–New Guinea languages. Reconstructions have been proposed by Malcolm Ross and Andrew Pawley.
Tom Dutton was an Australian linguist specialising in Papuan languages and other languages of Papua New Guinea.
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