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 toes, there is no general law with which the author is familiar. Many
tribes never use the toes in counting, but signify the close of the first
10 by clapping the hands together, by a wave of the right hand, or by
designating some object; after which the fingers are again used as before.
One other detail in finger counting is worthy of a moment's notice. It
seems to have been the opinion of earlier investigators that in his passage
from one finger to the next, the savage would invariably bend down, or
close, the last finger used; that is, that the count began with the fingers
open and outspread. This opinion is, however, erroneous. Several of the
Indian tribes of the West[17] begin with the hand clenched, and open the
fingers one by one as they proceed. This method is much less common than
the other, but that it exists is beyond question.
In the Muralug Island, in the western part of Torres Strait, a somewhat
remarkable method of counting formerly existed, which grew out of, and is
to be regarded as an extension of, the digital method. Beginning with the
little finger of the left hand, the natives counted up to 5 in the usual
manner, and then, instead of passing to the other hand, or repeating the
count on the same fingers, they expressed the numbers from 6 to 10 by
touching and naming successively the left wrist, left elbow, left shoulder,
left breast, and sternum. Then the numbers from 11 to 19 were indicated by
the use, in inverse order, of the corresponding portions of the right side,
arm, and hand, the little finger of the right hand signifying 19. The words
used were in each case the actual names of the parts touched; the same
word, for example, standing for 6 and 14; but they were never used in the
numerical sense unless accompanied by the proper gesture, and bear no
resemblance to the common numerals, which are but few in number. This
method of counting is rapidly dying out among the natives of the island,
and is at the present time used only by old people.[18] Variations on this
most unusual custom have been found to exist in others of the neighbouring
islands, but none were exactly similar to it. One is also reminded by it of
a custom[19] which has for centuries prevailed among bargainers in the
East, of signifying numbers by touching the joints of each other's fingers
under a cloth. Every joint has a special signification; and the entire
system is undoubtedly a development from finger counting. The buyer or
seller will by this method express 6 or 60 by stretching out the thumb and
little finger and closing the rest of the fingers. The addition of the
fourth finger to the two thus used signifies 7 or 70; and so on. "It is
said that between two brokers settling a price by thus snipping with the
fingers, cleverness in bargaining, offering a little more, hesitating,
expressing an obstinate refusal to go further, etc., are as clearly
indicated as though the bargaining were being carried on in words.
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