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
This scale is in one sense wholly vigesimal, and in another way it is not
to be regarded as pure, but as mixed. Below 20 it is quinary, and, however
far it might be extended, this quinary element would remain, making the
scale quinary-vigesimal. But in another sense, also, the Aino system is not
pure. In any unmixed vigesimal scale the word for 400 must be a simple
word, and that number must be taken as the vigesimal unit corresponding to
100 in the decimal scale. But the Ainos have no simple numeral word for any
number above 20, forming all higher numbers by combinations through one or
more of the processes of addition, subtraction, and multiplication. The
only number above 20 which is used as a unit is 200, which is expressed
merely as 10 twenties. Any even number of hundreds, or any number of
thousands, is then indicated as being so many times 10 twenties; and the
odd hundreds are so many times 10 twenties, plus 5 twenties more. This
scale is an excellent example of the cumbersome methods used by uncivilized
races in extending their number systems beyond the ordinary needs of daily
life.
In Central Asia a single vigesimal scale comes to light in the following
fragment of the Leptscha scale, of the Himalaya region:[354]
10. kati.
40. kafali = 4 x 10,
or kha nat = 2 x 20.
50. kafano = 5 x 10,
or kha nat sa kati = 2 x 20 + 10.
100. gjo, or kat.
Further to the south, among the Dravidian races, the vigesimal element is
also found. The following will suffice to illustrate the number systems of
these dialects, which, as far as the material at hand shows, are different
from each other only in minor particulars:
MUNDARI.[355]
10. gelea.
20. mi hisi.
30. mi hisi gelea = 20 + 10.
40. bar hisi = 2 x 20.
60. api hisi = 3 x 20.
80. upun hisi = 4 x 20.
100. mone hisi = 5 x 20.
Public-domain text, read in full here on John Shaqi.
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