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From: Moebius <invalid@example.invalid>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Tue, 27 Aug 2024 21:31:00 +0200
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Am 27.08.2024 um 21:22 schrieb Chris M. Thomasson:
> On 8/27/2024 12:11 PM, WM wrote:
>> Le 27/08/2024 à 02:06, Jim Burns a écrit :
>>> On 8/25/2024 3:45 PM, WM wrote:
>>
>>>> This function exists because
>>>> nothing contradicts its existence.

Right. But the values of the function NUF are:

0 for all real arguments <= 0 and aleph_0 for all real arguments > 0.

>> The function exists if actual infinity exists.

That's for sure.

>> The function does not exist if only potential infinity exists.

Right. card(...) can't be aleph_0 in this case. :-)

Hence we are glad that in the context of axiomatic set theory the AoI 
ensures for infinite sets. (Cantor ->transfinite set theory).