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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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Posts: 4,165
From: London
Registered: 2/8/08
Re: Cantor's argument and the Potential Infinite.
Posted: Nov 16, 2012 4:20 AM
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"Uirgil" <uirgil@uirgil.ur> wrote in message
> In article <k84tuf$t03$>,
> "LudovicoVan" <> wrote:

>> "Zuhair" <> wrote in message

>> > We still can characterize Cardinality in this setting.
>> And you keep missing the point, as the various objections of course
>> involve
>> that the standard definition of cardinality for infinite sets is wrong!

> But as far as any valid arguments are concerned, it appears AT LEAST
> equally likely that the various objections are the things that are
> wrong.

If an argument is wrong, you should show that it is so or just pass, the
rest is at best OT.

>> > So Cantor's diagonal is applicable to potential infinity context!
>> 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.

> ZFC offers a standard set theory in which actually infinite sets are not
> only allowed but actually required to exist, and no one yet has been
> able to show that ZFC is not a perfectly sound set theory.

That is only because you are so incoherent as to insist to call N an actual

>> Please get your head out of your ass and read and try to understand what
>> you
>> are rebutting before you actually get to do it.

> AS far as head-in-ass-itis, LV appears to have a far worse case of it
> than those he is criticizing.

Sure, keep spamming and all that.


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