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Re: Numbers and math

From:Carlos Thompson <carlos_thompson@...>
Date:Friday, September 22, 2000, 5:36
I will answer for Chleweyish
tal asked:

> A classic question is: how do you count to ten in your conlang?
rey, raw, rawet, rap, rapor, raper, rapsot, rur, ruryam, ruryor.
> Generalizing: > - do you form ordinals from cardinals? how? if not, how?
Ordinal is a verb, formed adding verb suffix (-i in infinitive, -e in indicative) to the cardinal... Well, not that simple: "first" is not derived from any cardinal and the n-th cardinal use n-1 cardinal as root: 2nd: reye 3rd: rawe 4th: rawete etc. For short hand you write the number followed with -i/-e (superscribed if you want). 2nd = 1e 3rd = 2e 4th = 4e
> - do you have a zero?
yes: _ba_.
> - can numbers be negative?
yes.
> - fractions? percentiles? if it's not a decimal system, is there > something instead of percentiles?
Instead of percentils, fractions of one are used. The way to express fractions with a power of two as denominator follows the way of integers. There are ways of expressing rational numbers with other denominators and for translating base-ten percentiles.
> - how do you add, subtract, multiply and divide? (if you know how)
If you have practice with base 2 it wouln'd be any problem: just write the numbers in base two and opperate. I will think of an apropiate way to write numbers down without using decimal digits, probably a generalization of the numeric system of Thompinian (based on EISH5: look at http://www.geocities.com/Paris/Rue/9028/conlang/ for more info). When I decide for it I will try to figure out how operations can be performed with this notation. About grammar... it isn't decided yet.
> - what about raising to the nth power and n-roots?
Grammar undecided yet.
> I think I'll stop there but you get the idea :) > > I'm asking because there are lotsa new langs here, plus I've finally > gotten those much wanted târuven numbers from 0 to 10 in place, but > my guesses at how higher numbers (for instance 73 (decimal)) are > formed somehow feels wrong, so I need tips (actually I need a > târuven book on mathematics but I haven't found any so far ;) ).