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| 29 ways to say 18 (as viewed from 1923)
The following is my translation of an article
called: 'Wie die Völker die Zahlen aussprechen' von T. Kellen. It appeared in a German popular
science magazine, Kosmos Handweiser für Naturfreunde 1923, Heft 11, Seiten 291-293. I'm not aware
of any previous translation.
How different peoples say numbers
That is not to say that the German method is the most cumbersome. There are nations
with still more complex ways of expression. One could even write an extensive book
on how primitive peoples deal with numbers, and how the speech of numbers has developed
among more sophisticated nations over time.
The usual system of numbers now used in the developed word has its origins in India,
from whence it was brought west by Syrians and Arabs. But this system, which had
its own logic, has been influenced by other systems, and has come to be expressed
differently in the various languages. And in the forms of speech, of both savage
peoples and high cultures, can be found immense variety.
We find it only natural that we have specific words for the numbers 1 to 9, for 10
and multiples thereof (20 to 100) but, with some savage peoples, there is not even a
word for 3; for example, the Indians of southern Texas say 'pil' for 1, ayte for 2,
ayti-c-pil for 3, that is 2+1, and for 6 it is (2+1)x2. This becomes ever more
developed so, for instance, 19 is nothing other than 6x(2+1)+1. 50 is spoken as
20x2+5x2. Should they say 20x4+5, then one cannot be sure whether they mean 85 or
180 20x(4+5). Luckily, the Indians do not require a system of complex calculations,
otherwise they would have already resolved such uncertainties.
Such repetition of numbers to express a larger one can be found among many peoples.
The Black Foot of North America say double one for 2 and double four for 8. Similarly,
18 in Wales is deu-naw, 2x9, while in Lower Brittany one says triouech, 3x6. In
Sanskrit one can either express 29 as 29 or as 1 from 30 (subtracted). The ancient
Romans said duo de vigniti for 18, 2 from 20 (subtracted). The same idea is still
used for 18 today by the Yoruba and Yarriba, the natives between Dahomey and the
Bay of Benin: eji-dil-ogung, that means 2 subtracted from 20. They also have other
such customs; for example, they speak edd-ogung for 15, and that is halfway 20, or
edd-ohgboh for 25, halfway 30. Also in Danish one says for 50 halfway 3x20.
It is reminiscent of the method of expression in Swabia where, at an auction for
example, one says straight ahead (geradeaus) to indicate the next round
number; that means, should 195 marks have been offered, then another might say
'straight ahead' and mean 200 with it. When it comes to larger numbers, then it
becomes difficult to follow the calculations of the Yoruba as, if they say halfway
20x9, then that means 170, or even halfway 200x10x6 which means 11,000.
The Sioux Indians, for the numbers from 10 to 20, leave out the word for 10. They
simply say 3 more, and that signifies 10+3=13
Perhaps the most complex form of counting is that of the Arikara or Rikari, Indians
who live on the right bank of the Missouri. Their use of numbers demands a specialised
study. Some tribes, for instance the Eskimos, are now used to employing their own
language for the lower numbers while saying higher numbers in a foreign one (Danish
for instance). Primitive peoples do not like counting! The Guarani, for example,
count up to 4 and any higher number simply requires: countless. They prefer to
learn more difficult arts than counting.
In order to show the variation of ways in which numbers are spoken by different
peoples, Professor L Gustav Dupasquier has collated the expressions for 18. In the
table reproduced here can be found 29 different methods!
The final ones are like the expressions used by children who have just begun to learn
to count, and do not yet have a suitable word for some concepts. A large number of
ideas, which appear simple to us as cultured people, are actually very sophisticated
and, therefore, are strange or even unthinkable for peoples on a lower level. The
ways in which people express numbers can provide insights into the development of
the human consciousness.
An index of more of my translations of old Kosmos articles can be found at:
A number of Mesozoic (and post-Mesozoic) location summaries can be found at
Localities.
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