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CONLANG  January 2006, Week 3

CONLANG January 2006, Week 3

Subject:

Re: [Theory] Types of numerals; bases in natlangs.

From:

John Vertical <[log in to unmask]>

Reply-To:

Constructed Languages List <[log in to unmask]>

Date:

Wed, 18 Jan 2006 12:00:38 +0200

Content-Type:

text/plain

Parts/Attachments:

Parts/Attachments

text/plain (65 lines)

Henrik Theiling wrote:
>No, the exponent defaults to one.

Really? So kjox ling ling ling = 11.1??


>Further, if there is more than one digit, the base must be specified
>even if it is one.

>But maybe to accept this I should have mentioned that the above is the
>short form of numbers in environments where the base is agreed on.
>Further, the base is constant throughout the number by default unless
>stated otherwise.  So 'kjox' is more the exponent marker in base 10
>environments.
>
>If the base is not agreed on, the first used base must be in the long
>form, using the verb 'to take the power of' explicitly.  This verb is
>'il':
>
>     kul il kjok == 10^2 = 100

Ah, so numbers are phonemically different when used as a base and when used 
as a digit?? That definitely clears the system up a lot.


> >...  Even if you disallow digits if the base is something else than
> >10, you still get cases like "kjox kul kjox hen" having an
> >alternative analysis as "30^20".
>
>Because the exponent is agreed on when using the short number form,
>'kjox kul kjox hen' this can only mean:
>
>   3*10^20

What exactly is "short form"? Anything that omits something?


> > OTOH, if Base must always be 10, I don't see why it needs to be
> > specified at all;
>
>To mark the border between exponent and sequence of digits.
>
> > you can do with just a marker for "number ends".
>
>It basically functions just like that for the exponent.

I see. :)

> > Are there any other instances where Base can be omitted than the
> > natural numbers 0 thru 9? Will "hen kul" mean anything??
>
>Not officially; only in base 3.  But in very casual speech, you're
>likely to hear it anyway in base ten environments.  Pedants will then
>immediately ask for the order of magnitude, though, or will assume
>base three. :-)
>
>**Henrik

Anyway, I think this is quite a fine system; not any less simple than 
natlangs, but definitely more powerful. I also guess it'd make mathematics 
seem easier - at least with a constant base (is there some cultural reason 
for multi-basing anyway?)

John Vertical

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