Kaktovik Inupiaq numerals
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Inuit languages, like other Eskimo–Aleut languages (and Celtic and Mayan languages as well), use a vigesimal counting system. Inuit counting has sub-bases at 5, 10, and 15. Arabic numerals, consisting of 10 distinct digits (0-9) are not adequate to represent a base-20 system. Students from Kaktovik, Alaska, came up with the Kaktovik Inupiaq numerals,[1] which has since gained wide use among Alaskan Iñupiat, and has been considered in other countries where dialects of the Inuit language are spoken.[2]
The numeral system has helped to revive counting in Inuit languages, which had been falling into disuse among Inuit speakers due to the prevalence of the base-10 system in schools.
The picture below shows the numerals 1–19 and then 0. Twenty is written with a one and a zero, forty with a two and a zero, and four hundred with a one and two zeros.
The corresponding spoken forms are:
0 | 1 | 2 | 3 | 4 |
atausiq | malġuk | piŋasut | sisamat | |
5 | 6 | 7 | 8 | 9 |
tallimat | itchaksrat | tallimat malġuk | tallimat piŋasut | quliŋuġutaiḷaq |
10 | 11 | 12 | 13 | 14 |
qulit | qulit atausiq | qulit malġuk | qulit piŋasut | akimiaġutaiḷaq |
15 | 16 | 17 | 18 | 19 |
akimiaq | akimiaq atausiq | akimiaq malġuk | akimiaq piŋasut | iñuiññaŋŋutaiḷaq |
20 | ||||
iñuiññaq |
(19 is formed by subtraction from iñuiññaq 20, just as 9 is formed by subtraction from 10. See Inupiat language.)
In Greenlandic Inuit language:
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Ataaseq | Marluk | Pingasut | Sisamat | Tallimat | Arfinillit | Arfineq-marluk | Arfineq-pingasut |
9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
Qulaaluat, Qulingiluat, Arfineq-sisamat |
Qulit | Isikkanillit, Aqqanillit |
Isikkaneq-marluk, Aqqaneq-marluk |
(Dependent on the region in Greenland. Numbers differ, as do accents)
References
- ↑ Bartley, Wm. Clark (January–February 1997). "Making the Old Way Count" (PDF). Sharing Our Pathways. 2 (1): 12–13. Retrieved February 27, 2017.
- ↑ Regarding Kaktovik Numerals. Resolution 89-09. Inuit Circumpolar Council. 1998. http://www.inuitcircumpolar.com/resolutions7.html
Further reading
- Bartley, Wm. Clark, "Iñupiatun Kisitchiñiq / The Iñupiaq Counting System". Appendix 11 (p.831-841) in MacLean, Edna, editor, "Iñupiatun Uqaluit Taniktun Sivuniŋit / Iñupiaq to English Dictionary". Fairbanks: Alaska Native Language Center, College of Liberal Arts, University of Alaska, Fairbanks, 2014.
- Engblom-Bradley, Claudette, "Seeing Mathematics with Indian Eyes," p. 237-245 in Williams, Maria Sháa Tláa, editor, "The Alaska Native Reader: History, Culture, Politics". Duke University Press, Durham, 2009.
- Kalish, Mia; Claudette Engblom-Bradley; Garii, Barbara, "Creating Communities of Mathematical Practice: Increasing the Viability of the Mathematics Classroom" in proceedings of the 11th International Congress on Mathematical Education (ICME), Monterrey, Mexico, July 6 - 13, 2008. http://dg.icme11.org/document/get/440