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
in a left-to-right manner, beginning, probably, with the thumb of his right
hand.
To the law just given, that savages begin to count on the little finger of
the left hand, there have been a few exceptions noted; and it has been
observed that the method of progression on the second hand is by no means
as invariable as on the first. The Otomacs[11] of South America began their
count with the thumb, and to express the number 3 would use the thumb,
forefinger, and middle finger. The Maipures,[12] oddly enough, seem to have
begun, in some cases at least, with the forefinger; for they are reported
as expressing 3 by means of the fore, middle, and ring fingers. The
Andamans[13] begin with the little finger of either hand, tapping the nose
with each finger in succession. If they have but one to express, they use
the forefinger of either hand, pronouncing at the same time the proper
word. The Bahnars,[14] one of the native tribes of the interior of Cochin
China, exhibit no particular order in the sequence of fingers used, though
they employ their digits freely to assist them in counting. Among certain
of the negro tribes of South Africa[15] the little finger of the right hand
is used for 1, and their count proceeds from right to left. With them, 6 is
the thumb of the left hand, 7 the forefinger, and so on. They hold the palm
downward instead of upward, and thus form a complete and striking exception
to the law which has been found to obtain with such substantial uniformity
in other parts of the uncivilized world. In Melanesia a few examples of
preference for beginning with the thumb may also be noticed. In the Banks
Islands the natives begin by turning down the thumb of the right hand, and
then the fingers in succession to the little finger, which is 5. This is
followed by the fingers of the left hand, both hands with closed fists
being held up to show the completed 10. In Lepers' Island, they begin with
the thumb, but, having reached 5 with the little finger, they do not pass
to the other hand, but throw up the fingers they have turned down,
beginning with the forefinger and keeping the thumb for 10.[16] In the use
of the single hand this people is quite peculiar. The second 5 is almost
invariably told off by savage tribes on the second hand, though in passing
from the one to the other primitive man does not follow any invariable law.
He marks 6 with either the thumb or the little finger. Probably the former
is the more common practice, but the statement cannot be made with any
degree of certainty. Among the Zulus the sequence is from thumb to thumb,
as is the case among the other South African tribes just mentioned; while
the Veis and numerous other African tribes pass from thumb to little
finger. The Eskimo, and nearly all the American Indian tribes, use the
correspondence between 6 and the thumb; but this habit is by no means
universal. Respecting progression from right to left or left to right on
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