Numeral Classifiers and Counting Systems in Polynesian and Micronesian Languages: Common Roots and Cultural Adaptations

Polynesian and Micronesian languages inherited a decimal number system from Proto-Oceanic, and individually extended it on one or more dimensions: in length by adding terms for larger numbers, in breadth by specifying numeral classifiers for certain objects (prevailing in Micronesia), and in factor by introducing a larger counting unit (prevailing in Polynesia). Specific counting systems are characterized by a combination of these features: They are based on larger counting units (multiplication function) and apply to certain objects only (object specificity). This paper surveys the distribution of each extension type in Polynesian and Micronesian number systems, characterizes the features that they share, and analyzes the constitutive role that numeral classifiers play for specific counting systems. It is concluded that in most of these languages, number systems are composed according to similar principles, while the divergence in classifiers, objects of reference, and factors chosen results from cultural adaptations, some of which might have been responses to socioeconomic requirements and served purposes of cognitive facilitation.

[1]  Marcia Ascher,et al.  Ethnomathematics: A Multicultural View of Mathematical Ideas , 1992 .

[2]  G. Fritz Die Zentralkarolinische Sprache : Grammatik, Übungen u. Wörterbuch der Mundart der westlich von Truk liegenden Atolle, insbesondere der Saipan-Karoliner , 1911 .

[3]  Ulrike Mosel,et al.  Samoan Reference Grammar , 1992 .

[4]  P. Kirch Island Societies: Archaeological Approaches to Evolution and Transformation , 1988 .

[5]  Patrick V. Kirch,et al.  The evolution of the Polynesian chiefdoms , 1985 .

[6]  Winifred Bauer,et al.  The Reed reference grammar of Māori , 1999 .

[7]  S. Christiansen Subsistence on Bellona Island (Mungiki) : a study of the cultural ecology of a Polynesian outlier in the British Solomon Islands Protectorate , 1975 .

[8]  Isidore Dyen A sketch of Trukese grammar , 1965 .

[9]  Ho-min Sohn,et al.  A Ulithian grammar , 1973 .

[10]  Barnabas Hughes HAWAIIAN NUMBER SYSTEMS , 1982 .

[11]  Joseph H. Greenberg,et al.  Current trends in linguistics. , 1959, Science.

[12]  John U. Wolff,et al.  Proto-Polynesian Word List I , 1968 .

[13]  D. Norman,et al.  A representational analysis of numeration systems , 1995, Cognition.

[14]  G. B. Milner,et al.  Samoan Dictionary: Samoan-English, English-Samoan , 1994 .

[15]  M. Ross Selected Papers from the Eighth International Conference on Austronesian Linguistics (review) , 2000 .

[16]  Raymond S. Nickerson Counting, Computing, and the Representation of Numbers , 1988 .

[17]  Byron W. Bender Studies in Micronesian linguistics , 1984 .

[18]  R. Cowell The structure of Gilbertese , 1951 .

[19]  Jack L. Davis,et al.  Island Societies: Archaeological Approaches to Evolution and Transformation , 1988 .

[20]  Lois Carrington,et al.  FOCAL I + II : papers from the fourth International Conference on Austronesian Linguistics , 1986 .

[21]  John U. Wolff Comparative Austronesian Dictionary. An Introduction to Austronesian Studies. , 1997 .

[22]  Damian G. Sohl,et al.  Ponapean Reference Grammar , 1981 .

[23]  Ho-min Sohn,et al.  Proto-Micronesian Reconstructions--I , 2003 .

[24]  Samuel H. Elbert,et al.  Echo of a Culture: A Grammar of Rennell and Bellona , 1989 .

[25]  The Cognitive Advantages of Counting Specifically: An Analysis of Polynesian Number Systems , 2005 .

[26]  B. Biggs,et al.  Proto-Polynesian word list , 1967 .

[27]  Andrea Bender,et al.  Counting in Tongan: The Traditional Number Systems and Their Cognitive Implications , 2007 .

[28]  Sheldon P. Harrison,et al.  Higher numerals in several Micronesian languages , 1984 .

[29]  Andrea Bender,et al.  Fanciful or genuine? Bases and high numerals in polynesian number systems , 2006 .

[30]  Darrell T. Tryon,et al.  Review Article@@@Comparative Austronesian Dictionary: An Introduction to Austronesian Studies , 1997 .

[31]  Terry Crowley,et al.  The Oceanic Languages , 2001 .

[32]  Richard Benton,et al.  Numeral and Attributive Classifiers in Trukese , 1968 .