Cardinal numbers in Axiom

"Alasdair McAndrew" <[email protected]>
Newsgroups gmane.comp.mathematics.axiom.user
Message-ID <[email protected]>
Exploring the far reaches of Axiom, I was playing with cardinal numbers:

A:=Aleph(0)
generalizedContinuumHypothesisAssumed true
A^2

returns Aleph(0), as it should.  Now, since A^n=A if n is finite, the
command

A^(10^(10^10))

should return Aleph(0).  But it doesn't - it just hangs Axiom.  It seems as
though Axiom is first trying to evaluate 10^(10^10), and then raise A to
that power.  But surely Axiom should recognize that 10^(10^10) is finite
immediately, and proceed from there.

-Alasdair

-- 
Blog: http://amca01.wordpress.com

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