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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Sun, 23 Feb 2025 19:12:15 -0500
Organization: i2pn2 (i2pn.org)
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On 2/23/25 2:32 PM, WM wrote:
> On 23.02.2025 19:34, Jim Burns wrote:
>> On 2/23/2025 9:43 AM, WM wrote:
> 
>>> There is no reason to consider {{F}} at all.
>>
>> There is reason, but
>> only for people wanting to be correct.
> 
> Peano, Zermelo, or v. Neumann create ℕ as well as the set F of all 
> FISONs by induction over the members for use in set theory without being 
> what you erroneously call correct.
>>> We omit all F(n) which amounts to remove F.
>>> Like all natural numbers amount to ℕ (not {ℕ})
> Regards, WM

No, Induction does NOT produce N, put induction is a process that test 
if a set contains the set of natural numbers.

N is produces as a result of the other axioms of ZFC.

Maybe you don't even understand the German version and are confusing the 
words used. You clearly don't know how to properly translate them to 
English.