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Topic: Matheology � 295
Replies: 8   Last Post: Jun 28, 2013 4:43 PM

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Posts: 18,076
Registered: 1/29/05
Re: Matheology § 295
Posted: Jun 28, 2013 4:46 AM
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On Thursday, 27 June 2013 20:29:51 UTC+2, Virgil wrote:
> Without an axiom of infinity in ZF, there is no provable |N or provable aleph_0, but with that axiom, in ZF one gets both.

No, one gets what we had for millenia: natural numbers such that everybody could count as far as he could. "A set" is not defined by any axiom because there is no definition of set. aleph_0 is about the same delusion in matheology as is the devil in religions.

Regards, WM

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