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Re: Types of numerals; bases in natlangs.

From:John Vertical <johnvertical@...>
Date:Wednesday, January 18, 2006, 10:01
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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Henrik Theiling <theiling@...>