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CONLANG  July 2011, Week 2

CONLANG July 2011, Week 2

Subject:

Re: Base-6 Number System (Count to 35 on 2 hands!)

From:

Jörg Rhiemeier <[log in to unmask]>

Reply-To:

Constructed Languages List <[log in to unmask]>

Date:

Fri, 8 Jul 2011 14:31:50 +0200

Content-Type:

Text/Plain

Parts/Attachments:

Parts/Attachments

Text/Plain (66 lines)

Hallo conlangers!

On Friday 08 July 2011 13:00:20, R A Brown wrote:

> I can barely keep with this thread - but a few points:
>
> [PRIME-BASED SYSTEM]
> [...]
> On 07/07/2011 20:15, Jim Henry wrote:
> > On Wed, Jul 6, 2011 at 11:15 AM, Alex
> >
> > Fink<[log in to unmask]> wrote:
> >> The original gjax-zym-byn system was prime-based; Jim
> >> has told here a few times about finding it impractical
> >> and therefore supplanting it with base systems.
> >
> > Yes; I still use the primes-based system for counting
> > small numbers of things (up to around 31), including
> > hours of the day (gzb uses a 24-hour clock).
> >
> > gzb nominally has root words for all the primes up to
> > 113,
>
> Yes, that's the problem, it seems to me, in using a system
> based on primes? What happens after 113?
>
> In our system we can, in theory, express any number to
> infinity (and beyond?). Obviously, _in theory_ one could the
> same in a prime-based system *as long as one knew the full
> set of prime number* which, I guess, is also infinite :)

There are indeed infinitely many prime numbers, which is easy
to prove. Assume there were only finitely many primes. Then
you can form the number (2*3*5*...*p)+1, wherein p is the
largest prime, and the product contains every prime number.
This number divides by none of the primes, it always leaves a
remainder of 1. So it must either be a prime number itself,
or it must have other prime factors not on the list. This
contradiction shows that there are infinitely many prime
numbers.

So in a prime-based number system, you can't just go by
multiplication, because for that you'd need infinitely many
basic numeral words. (Of course, you can use a prime number
as a base the same way you could use 10, 12 or whatever, but
where is the point in that?)

> [snip]
>
> > I think Joanna Russ had, in _And Chaos Died_, an implied
> > conlang which, if it wasn't primes-based, at least had
> > root words for every number up to a fairly largish prime.
>
> Yes, with an _implied_ conlang anything is possible.
> Certainly a theoretical prime-based system is fine
> for an implied conlang - but when it comes to actually
> putting it into practice it seems to me that, as Alex says
> above, one is likely to find it impractical.

It is.

--
... brought to you by the Weeping Elf
http://www.joerg-rhiemeier.de/Conlang/index.html
"Bêsel asa Êm, a Êm atha cvanthal a cvanth atha Êmel." - SiM 1:1

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