
Re: Problems with Infinity?
Posted:
Feb 24, 2013 1:48 PM


In rec.arts.sf.written William Elliot <marsh@panix.com> wrote: > > Cantor did not deal with geometric infinity. > His infinities are the cardinalities of sets.
Or with infinite ordinals, which is not quite the same sort of infinity. Are there any (good) SFnal stories concerning cardinal(ities), transfinite induction, supertasks, actual infinities and other esoteric phenomena?
I am aware of White Light by Rudy Rucker, The Infinite Assassin by Greg Egan and Luminous by the same author. However, they barely touch the cardinality of c.
As Kronecker put it, "God made natural numbers; all else is the work of man", therefore denying the existence of higher cardinals (or even finitism) is a valid philosophical approach  after all, you can get many interesting results by negating the axiom of infinity...
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