
Re: Problems with Infinity?
Posted:
Feb 24, 2013 11:04 PM


garabiknews200505@kassiopeia.juls.savba.sk wrote: >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.
There's also the series of Wheelie Willie comix in Rucker's _Infinity and the Mind_, and infinities make sporadic appearances here and there in his other works, but White Light is his Infinity Novel, yep.
Taking a quick look at the collection _Mathenauts_, which happens to be within reach of my left hand without even moving, only Niven's _Convergent Series_ reminds me just from the title that it also deals with the subject. ... Checking, that's about it from there.
>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...
Oh yes. "Only finite numbers and fractions exist" is consistent. But it gets into conflicts with, like, 2D geometry, because there's no pi, and no square root of 2...
Dave  \/David DeLaney posting from dbd@vic.com "It's not the pot that grows the flower It's not the clock that slows the hour The definition's plain for anyone to see Love is all it takes to make a family"  R&P. VISUALIZE HAPPYNET VRbeable<BLINK> http://www.vic.com/~dbd/  net.legends FAQ & Magic / I WUV you in all CAPS! K.

