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Re: Cantor's argument and the Potential Infinite.
Posted:
Nov 17, 2012 8:19 PM
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In <k84tuf$t03$1@dont-email.me>, on 11/16/2012 at 08:36 AM, "LudovicoVan" <julio@diegidio.name> said:
>And you keep missing the point, as the various objections of course >involve that the standard definition of cardinality for infinite >sets is wrong!
ROTF,LMAO! A definition can be ambiguous, unconventional or vacuous, but it can't be wrong.
>Cantor's arguments are *only* applied to potentially infinite sets, >in fact in standard set theory there is no such thing as actual >infinity at all.
As usual, you've got it backwards; in standard set theory there is no such thing as "potential infinity", but only sets[1], some of which are not finite.
>Please get your head out of your ass
PKB.
[1] Or sets and classes, depending on which common set theory you consider standard.
-- Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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