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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Tue, 25 Feb 2025 10:49:34 +0100
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On 24.02.2025 19:25, Jim Burns wrote:
> On 2/24/2025 12:10 PM, WM wrote:

> In the present framework,
> you (WM) confuse a claim about each FISON in {F}
> with a claim about {F}.

I never talked about {F}.
> 
>> Zermelo creates all natural numbers by induction
>> and by that guarantees the existence of the set ℕ.
> 
> I guarantee that Zermelo was a finite being
> and that, as such, he did not perform any supertask.

Therefore he used induction.
> 
> The existence of the set which
> is its.own.only.inductive.subset
> is proven from Zermelo's axioms.
> We call that set ℕ.

Defined by induction.
> 
>>> {1,2}\{1,{2}} = {2}
>>
>> Only such nonsense available?
> 
> I'll grant you that it's trivial.
> You (WM) have made it necessary to cover this.

No.Your massive misunderstanding shows up above. I never used {ℕ} or {F}.

Regards, WM