fom
Posts:
1,037
Registered:
12/4/12
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Re: Matheology § 214
Posted:
Feb 10, 2013 5:59 PM
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On 2/10/2013 3:55 PM, Virgil wrote:
> In article
> <b96a20cb-7991-4a49-84ca-6bd6585012c7@w7g2000yqo.googlegroups.com>,
> WM <mueckenh@rz.fh-augsburg.de> wrote:
>
>> On 10 Feb., 21:45, fom <fomJ...@nyms.net> wrote:
>>> On 2/10/2013 3:38 AM, WM wrote:
>>>
>>> The relationship of the axiom of choice with
>>> the semantics of identity is the source of its
>>> particular set of issues.
>>>
>>> {{In fact it is true for existing sets
>>>
>>> Please explain "existing set".
>>
>> An existing set is a set that is finite or potentially infinite.
>
> That would require all of them to already exist, implying that no new
> ones could ever be created, or invented, or discovered.
>
> Thus in WMYTHEOLOGY there can never be anything new.
>
What would be the consequence of that invariance?
Every potentially infinite set already exists.
Thus, potential infinity is immanent infinity.
This is Cantor's argument.
What is the arithmetical difference between immanent
infinity and omega?
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