Path: utzoo!attcan!utgpu!jarvis.csri.toronto.edu!rutgers!gatech!bloom-beacon!usc!ucsd!hub!silber
From: silber@voodoo.ucsb.edu
Newsgroups: comp.ai
Subject: "in any case rubin's statement is still true (RE: axioms and universes)
Message-ID: <2208@hub.UUCP>
Date: 14 Aug 89 16:36:40 GMT
Sender: news@hub.UUCP
Organization: UC, Santa Barbara. Physics Computer Services
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It seems that I recall that axiomatic set theory was/is critical to the
foundations of modern mathematics.  I still question whether, in a different
possible universe where there are no discrete particles, no inhomogeneities,
that mathematics will 'work' the same as here. Of course, in such a
an extreme case as that, there probably are no thinking agents either, but it
might be possible to relax the conditions of the example just enough
to allow some structure (hence the existence of 
some combinational/associational/logical systems), a structure within which,
 however, certain sets of axioms which we find consistent HERE
are inconsistent THERE!