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Re: Types of numerals; bases in natlangs.

From:R A Brown <ray@...>
Date:Thursday, January 12, 2006, 13:30
John Vertical wrote:
[snip]
>> If a language has base five or base eight or base ten or >> base twenty, why is "twelve" a common numeral? > > > The majority of the languages surveyed are European, so the measure > systems of 12 inch in a foot and 12 ounces in a pound may have > influenced this.
now 16 ounces in a (Avoirdupois) pound - but, you are right, the older roman pound & the Troy* pound was divided into 12 ounces. *Nothing to do with the ancient city, sacked by the Greeks. the name is from Troyes in France.
> I can't think of a directly numerical explanation.
It's to do with _fractions_. Cardinal & ordinal numbers in Latin are base ten. But when it came to fractions, the Romans clearly preferred to work in twelfths - easier to divide into thirds & quarters than it would be if working in 10ths. I recently (5th Jan 05) gave the Latin names for the twelfths from 1/12 though to 11/12; and, as I wrote, the English words "inch" and "ounce" are both derived from the Latin _uncia_ /'u:Nkia/ = 1/12 - the former coming to us via Old English and the latter via Old French. BTW the symbols for each 12th were: i. from 1/12 through to 5/12 - as the spots 1 to 5 on a dice. ii. 6/12 or 1/2 is S iii. 7/12 through to 11/12 - S followed by the spots 1 to 5. ray@carolandray.plus.com http://www.carolandray.plus.com ================================== MAKE POVERTY HISTORY