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 same process is now repeated, only the feet instead of the hands are
used; and the completion of the second 10 is marked by the word _innuk_,
man. It may be that the Eskimo word for 5 is, originally, a digital word,
but if so, the fact has not yet been detected. From the analogy furnished
by other languages we are justified in suspecting that this may be the
case; for whenever a number system contains digital words, we expect them
to begin with _five_, as, for example, in the Arawak scale,[72] which runs:
1. abba.
2. biama.
3. kabbuhin.
4. bibiti.
5. abbatekkabe = 1 hand.
6. abbatiman = 1 of the other.
7. biamattiman = 2 of the other.
8. kabbuhintiman = 3 of the other.
9. bibitiman = 4 of the other.
10. biamantekabbe = 2 hands.
11. abba kutihibena = 1 from the feet.
20. abba lukku = hands feet.
The four sets of numerals just given may be regarded as typifying one of
the most common forms of primitive counting; and the words they contain
serve as illustrations of the means which go to make up the number scales
of savage races. Frequently the finger and toe origin of numerals is
perfectly apparent, as in the Arawak system just given, which exhibits the
simplest and clearest possible method of formation. Another even more
interesting system is that of the Montagnais of northern Canada.[73] Here,
as in the Zuni scale, the words are digital from the outset.
1. inl'are = the end is bent.
2. nak'e = another is bent.
3. t'are = the middle is bent.
4. dinri = there are no more except this.
5. se-sunla-re = the row on the hand.
6. elkke-t'are = 3 from each side.
7.{ t'a-ye-oyertan = there are still 3 of them.
{ inl'as dinri = on one side there are 4 of them.
8. elkke-dinri = 4 on each side.
9. inl'a-ye-oyert'an = there is still 1 more.
10. onernan = finished on each side.
11. onernan inl'are ttcharidhel = 1 complete and 1.
12. onernan nak'e ttcharidhel = 1 complete and 2, etc.
The formation of 6, 7, and 8 of this scale is somewhat different from that
ordinarily found. To express 6, the Montagnais separates the thumb and
forefinger from the three remaining fingers of the left hand, and bringing
the thumb of the right hand close to them, says: "3 from each side." For 7
he either subtracts from 10, saying: "there are still 3 of them," or he
brings the thumb and forefinger of the right hand up to the thumb of the
left, and says: "on one side there are 4 of them." He calls 8 by the same
name as many of the other Canadian tribes, that is, two 4's; and to show
the proper number of fingers, he closes the thumb and little finger of the
right hand, and then puts the three remaining fingers beside the thumb of
the left hand. This method is, in some of these particulars, different from
any other I have ever examined.
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