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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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LudovicoVan

Posts: 3,201
From: London
Registered: 2/8/08
Re: Cantor's argument and the Potential Infinite.
Posted: Nov 16, 2012 6:10 AM
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"Zuhair" <zaljohar@gmail.com> wrote in message
news:d84ff6d8-34ac-405f-a110-4a1721866063@3g2000yqn.googlegroups.com...
> On Nov 16, 11:36 am, "LudovicoVan" <ju...@diegidio.name> wrote:
>> "Zuhair" <zaljo...@gmail.com> wrote in message
>> news:5e28971d-adb1-49ae-878f-db9ebaf2621c@o8g2000yqh.googlegroups.com...
>>

>> > 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!
>>

>> > 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.
>>
>> 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.

>
> Good advice for you actually, since you don't know what you are
> speaking about. So just try to read what is written here, and if you
> don't understand what is written, or you have some problem with it,
> then just try to ask politely about it, so that I or others who are
> more informed that you can explain matters to you. Anyhow standard set
> theory "ZFC" is of course not limiting itself to the potential
> scenario, not even to the one I've presented here, that's why it
> accepts Impredicative definitions, as well as non well founded
> versions of it, the reason is that it doesn't have a problem with
> considering the possibility that all sets in the universe of discourse
> are GIVEN beforehand, and Godel's have stated that there is nothing
> wrong with this assumption, so there is no problem with considering
> that the set N is already Given, i.e. it is there beforehand with all
> its elements, i.e. N is a completed actual infinite set, in standard
> set theory understanding of N is not limited to the potential of
> becoming that I've presented here. However here I showed that even if
> we assume potential infinity in the sense I've presented, which is as
> I showed here the most faithful to that concept itself, then still
> Cantor's diagonal argument applies to it. All of what I'm saying here
> is that standard set theory as customarily understood doesn't not
> restrict itself to a potential infinity context, but even if so then
> if we faithfully represent that concept of potentiality then Cantor's
> argument can be still carried on.


As usual, you are not even wrong.

Keep spamming.

-LV





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