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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Fri, 14 Feb 2025 17:40:34 +0100
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On 14.02.2025 16:42, Jim Burns wrote:
> On 2/14/2025 7:52 AM, WM wrote:

>> Induction creates infinite sets.
> 
> Zermelo set theory [I...VII] describes
> a domain of discourse with
> Z an inductiveᶻ set

Where all elements are covered by induction.
>> If i contruct x(1) and from x(n) follows x(n+1)
>> then the set of all x(n) is infinite.
> 
> then the set of all x(n) is
> an inductive subset of the minimal.inductive set.

And no element is outside.
> There is no set of all FISON.numbers in ST+F.

But it is the result of the proof. There is not the least doubt that no 
FISON remains for constructing ℕ.

Regards, WM