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Topic: Cantor's argument and the Potential Infinite.
Replies: 17   Last Post: Nov 17, 2012 10:59 PM

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Shmuel (Seymour J.) Metz

Posts: 3,332
Registered: 12/4/04
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.

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