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
Among the rudest tribes, those whose mode of living approaches most nearly
to utter savagery, we find a certain uniformity of method. The entire
number system may consist of but two words, _one_ and _many_; or of three
words, _one_, _two_, _many_. Or, the count may proceed to 3, 4, 5, 10, 20,
or 100; passing always, or almost always, from the distinct numeral limit
to the indefinite _many_ or several, which serves for the expression of any
number not readily grasped by the mind. As a matter of fact, most races
count as high as 10; but to this statement the exceptions are so numerous
that they deserve examination in some detail. In certain parts of the
world, notably among the native races of South America, Australia, and many
of the islands of Polynesia and Melanesia, a surprising paucity of numeral
words has been observed. The Encabellada of the Rio Napo have but two
distinct numerals; _tey_, 1, and _cayapa_, 2.[20] The Chaco languages[21]
of the Guaycuru stock are also notably poor in this respect. In the Mbocobi
dialect of this language the only native numerals are _yna tvak_, 1, and
_yfioaca_, 2. The Puris[22] count _omi_, 1, _curiri_, 2, _prica_, many; and
the Botocudos[23] _mokenam_, 1, _uruhu_, many. The Fuegans,[24] supposed to
have been able at one time to count to 10, have but three
numerals,--_kaoueli_, 1, _compaipi_, 2, _maten_, 3. The Campas of Peru[25]
possess only three separate words for the expression of number,--_patrio_,
1, _pitteni_, 2, _mahuani_, 3. Above 3 they proceed by combinations, as 1
and 3 for 4, 1 and 1 and 3 for 5. Counting above 10 is, however, entirely
inconceivable to them, and any number beyond that limit they indicate by
_tohaine_, many. The Conibos,[26] of the same region, had, before their
contact with the Spanish, only _atchoupre_, 1, and _rrabui_, 2; though they
made some slight progress above 2 by means of reduplication. The Orejones,
one of the low, degraded tribes of the Upper Amazon,[27] have no names for
number except _nayhay_, 1, _nenacome_, 2, _feninichacome_, 3,
_ononoeomere_, 4. In the extensive vocabularies given by Von Martins,[28]
many similar examples are found. For the Bororos he gives only _couai_, 1,
_maeouai_, 2, _ouai_, 3. The last word, with the proper finger pantomime,
serves also for any higher number which falls within the grasp of their
comprehension. The Guachi manage to reach 5, but their numeration is of the
rudest kind, as the following scale shows: _tamak_, 1, _eu-echo,_ 2,
_eu-echo-kailau,_ 3, _eu-echo-way,_ 4, _localau_, 5. The Carajas counted by
a scale equally rude, and their conception of number seemed equally vague,
until contact with the neighbouring tribes furnished them with the means of
going beyond their original limit. Their scale shows clearly the uncertain,
feeble number sense which is so marked in the interior of South America. It
contains _wadewo_, 1, _wadebothoa_, 2, _wadeboaheodo_, 3, _wadebojeodo_,
4, _wadewajouclay_, 5, _wadewasori_, 6, or many.
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