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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Absolute Mathematics
Replies: 17   Last Post: Mar 22, 2012 11:46 AM

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MoeBlee

Posts: 1,277
Registered: 5/9/11
Re: Absolute Mathematics
Posted: Mar 21, 2012 11:58 AM
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On Mar 21, 10:54 am, MoeBlee <modem...@gmail.com> wrote:

> Maybe you mean that with a finite domain, there are only finitely many
> relations and functions on that finite domain.

Actually, even that is not correct, since for any natural number n,
there are n-ary relations and n-ary functions on the domain. So, even
for a finite domain, there are infinitely many relations, and
infinitely many functions on that domain. (I suppose we are talking
about non-empty domains, as usual.)

MoeBlee

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