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Vigesimal System Numerals

  Tags: Number System
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Alfonso
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Mexico
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Speaks: Biblical Hebrew, Spanish*, French, English, Tzotzil, Italian, Portuguese, Ancient Greek
Studies: Nahuatl, Tzeltal, German

 
 Message 1 of 5
24 April 2006 at 3:29pm | IP Logged 
We have discussed in another thread something about vigesimal number systems. That's why I've decided to start this new topic.

Eidolio wrote:
...Gaelic seems to have a similar way of counting:
60: trì fichead ("Three times twenty")
70: trì fichead is a deich ("three times twenty and ten")
80: ceithir fichead ("four times twenty"!)
90: ceithir fichead is a deich ("four times twenty and ten")
(Gaelic numerals)...

...I also found this on a site about numerals: "The old Celtic numbering system was based on 20, and modern French still shows clear evidence of Latin-speakers having borrowed elements of this 20-based system in that Celtic part of the Roman empire"

The system is called a "vigesimal" system (Vigesimal system on wikipedia). It seems to be used in quite a lot of languages!


Here in America most of native languages use the vigesimal system for counting. This is very logical ever since the most basic way for counting is one's own fingers and toes; and they are twenty. All the Mayan family languages count twenty by twenty, like this:

In Maya-Tsotsil

20 vinik -or jtob- (it literally means "one man", because "one man" has twenty fingers; ten in his hands and "ten in his feet" - toes)
40 cha' vinik (two men, because they have forty fingers in all)
60 ox vinik (three men)
80 chan vinik (four men)
100 vo' vinik (five men) and so.

Here's another example from a different linguistic family:

In Nahuatl

20 Cempohualli (one count)
40 Ompohualli (two counts)
60 Expohualli (three counts)
80 Nauhpohualli (four counts)
100 Macuilpohualli (five counts)

Any insights about this topic?

Edited by Alfonso on 27 April 2006 at 1:40pm

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Eidolio
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 Message 2 of 5
25 April 2006 at 3:02am | IP Logged 
I think this makes clear that the vigesimal system is NOT a specific feature of a language family. Both Nahuatl and Gaelic share the same pattern so it can't be a question of influence.
This shows that our language is based on the way we experience the world, which is common to all human beings wherever they live.
The phenomenon can't be explained unless we assume that we have to do with a universal pattern that is closely related to human physiology (here the fact that we have 10 fingers and 10 toes).
Modern linguistics call this kind of universal patterns "conceptualisations with an experiential basis"
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Lugubert
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 Message 3 of 5
04 June 2006 at 2:44pm | IP Logged 
Nobody seems to have mentioned the Danish way:

50: Halvtreds < halvtreds sinds tyve = (three minus one-half) times 20
60: Tres
70: Halvfjerds (4 - 0.5) x 20
80: Firs
90: Halvfems (5-0.5) x 20

In cardinal numbers the full forms are very rarely spoken nor written, giving them an archaic, pompous feel. But in the ordinal numbers the full forms reappear obligatorily, yielding
50 = halvtreds, 50th = halvtredsindstyvende
60 = tres, 60th = tresindstyvende
etc.

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Hencke
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 Message 4 of 5
04 June 2006 at 2:59pm | IP Logged 
English has them as well, though they don't see much use these days "threescore and ten years ago...".
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patuco
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 Message 5 of 5
04 June 2006 at 6:04pm | IP Logged 
Like in Lincoln's Gettysburg Address.


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