The Number Concept: Its Origin and Development — John Shaqi
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 first real difficulty which the savage experiences in counting, the
difficulty which comes when he attempts to pass beyond 2, and to count 3,
4, and 5, is of course but slight; and these numbers are commonly used and
readily understood by almost all tribes, no matter how deeply sunk in
barbarism we find them. But the instances that have already been cited must
not be forgotten. The Chiquitos do not, in their primitive state, properly
count at all; the Andamans, the Veddas, and many of the Australian tribes
have no numerals higher than 2; others of the Australians and many of the
South Americans stop with 3 or 4; and tribes which make 5 their limit are
still more numerous. Hence it is safe to assert that even this
insignificant number is not always reached with perfect ease. Beyond 5
primitive man often proceeds with the greatest difficulty. Most savages,
even those of the tribes just mentioned, can really count above here, even
though they have no words with which to express their thought. But they do
it with reluctance, and as they go on they quickly lose all sense of
accuracy. This has already been commented on, but to emphasize it afresh
the well-known example given by Mr. Oldfield from his own experience among
the Watchandies may be quoted.[109] "I once wished to ascertain the exact
number of natives who had been slain on a certain occasion. The individual
of whom I made the inquiry began to think over the names ... assigning one
of his fingers to each, and it was not until after many failures, and
consequent fresh starts, that he was able to express so high a number,
which he at length did by holding up his hand three times, thus giving me
to understand that fifteen was the answer to this most difficult
arithmetical question." This meagreness of knowledge in all things
pertaining to numbers is often found to be sharply emphasized in the names
adopted by savages for their numeral words. While discussing in a previous
chapter the limits of number systems, we found many instances where
anything above 2 or 3 was designated by some one of the comprehensive terms
_much_, _many_, _very many_; these words, or such equivalents as _lot_,
_heap_, or _plenty_, serving as an aid to the finger pantomime necessary to
indicate numbers for which they have no real names. The low degree of
intelligence and civilization revealed by such words is brought quite as
sharply into prominence by the word occasionally found for 5. Whenever the
fingers and hands are used at all, it would seem natural to expect for 5
some general expression signifying _hand_, for 10 _both hands_, and for 20
_man_. Such is, as we have already seen, the ordinary method of
progression, but it is not universal. A drop in the scale of civilization
takes us to a point where 10, instead of 20, becomes the whole man. The
Kusaies,[110] of Strong's Island, call 10 _sie-nul_, 1 man, 30 _tol-nul_, 3
men, 40 _a naul_, 4 men, etc.; and the Ku-Mbutti[111] of central Africa
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