
Re: Problems with Infinity?
Posted:
Feb 26, 2013 2:21 AM


On Feb 25, 9:05 pm, P. Taine <u...@domaine.invalid> wrote: > On Sun, 24 Feb 2013 18:48:48 +0000 (UTC), > > > > > > garabiknews2005...@kassiopeia.juls.savba.sk wrote: > >In rec.arts.sf.written William Elliot <ma...@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... > > This is going to be awfully vague. > > When I was in high school, which would be 19471952, I read a story, probably in > Startling Stories, which used transfinite numbers for something or other  I > think moving though a multiverse (though that term hadn't been invented yet). > > It did contain a lump of exposition that sent me off searching for Cantor's > work. I don't know where I found that, although we had a very good mathematics > teacher who may have loaned me something or other. (Note, my class was 23 > pupils at graduation, so he was also the ONLY mathematics teacher!) > > Not much to go on for a YASID, but it is the earliest that I can remember > reading about transfinites, and in a SF magazine at that. > > AWG  I wonder if that was the story with the transporter that looked like a > hoop on a base, that one stepped through and came out someplace else? Same time > period, and I think also Startling Stories. (I liked that magazine, along with > Planet Stories, when I was a teenager!) > > P. Taine Hide quoted text  > >  Show quoted text 

