The Number Concept: Its Origin and DevelopmentConant, Levi L. (Levi Leonard)
History
The Number Concept: Its Origin and Development
Conant, Levi L. (Levi Leonard)
Number concept
The last of these scales is an unusual combination of decimal and
vigesimal. In the even tens it is quite regularly decimal, unless 80 is of
the structure suggested above. On the other hand, the odd tens are formed
in the ordinary vigesimal manner. The reason for this anomaly is not
obvious. I know of no other number system that presents the same
peculiarity, and cannot give any hypothesis which will satisfactorily
account for its presence here. In nearly all the examples given the decimal
becomes the leading element in the formation of all units above 100, just
as was the case in the Celtic scales already noticed.
Among the northern tribes of Siberia the numeral scales appear to be ruder
and less simple than those just examined, and the counting to be more
consistently vigesimal than in any scale we have thus far met with. The two
following examples are exceedingly interesting, as being among the best
illustrations of counting by twenties that are to be found anywhere in the
Old World.
TSCHUKSCHI.[352]
10. migitken = both hands.
20. chlik-kin = a whole man.
30. chlikkin mingitkin parol = 20 + 10.
40. nirach chlikkin = 2 x 20.
100. milin chlikkin = 5 x 20.
200. mingit chlikkin = 10 x 20, _i.e._ 10 men.
1000. miligen chlin-chlikkin = 5 x 200, _i.e._ five (times) 10 men.
AINO.[353]
10. wambi.
20. choz.
30. wambi i-doehoz = 10 from 40.
40. tochoz = 2 x 20.
50. wambi i-richoz = 10 from 60.
60. rechoz = 3 x 20.
70. wambi [i?] inichoz = 10 from 80.
80. inichoz = 4 x 20.
90. wambi aschikinichoz = 10 from 100.
100. aschikinichoz = 5 x 20.
110. wambi juwanochoz = 10 from 120.
120. juwano choz = 6 x 20.
130. wambi aruwanochoz = 10 from 140.
140. aruwano choz = 7 x 20.
150. wambi tubischano choz = 10 from 160.
160. tubischano choz = 8 x 20.
170. wambi schnebischano choz = 10 from 180.
180. schnebischano choz = 9 x 20.
190. wambi schnewano choz = 10 from 200.
200. schnewano choz = 10 x 20.
300. aschikinichoz i gaschima chnewano choz = 5 x 20 + 10 x 20.
400. toschnewano choz = 2 x (10 x 20).
500. aschikinichoz i gaschima toschnewano choz = 100 + 400.
600. reschiniwano choz = 3 x 200.
700. aschikinichoz i gaschima reschiniwano choz = 100 + 600.
800. inischiniwano choz = 4 x 200.
900. aschikinichoz i gaschima inischiniwano choz = 100 + 800.
1000. aschikini schinewano choz = 5 x 200.
2000. wanu schinewano choz = 10 x (10 x 20).
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