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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Mon, 3 Feb 2025 19:39:31 -0500
Organization: i2pn2 (i2pn.org)
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On 2/3/25 7:45 AM, WM wrote:
> On 02.02.2025 21:11, Richard Damon wrote:
>> On 2/2/25 11:39 AM, WM wrote:
> describe the set ℕ?
>>>> N is not a natural number.
>>>
>>> Not described by the Peano axioms?
>>
>> You seem to not understand the differnce between a number and a set of 
>> numbers
> 
> Peano creates by induction the set ℕ of all natural numbers.
> Why doe I not delete by the same induction the set of all FISONs?
> 
> Regards, WM
> 

Because you don't prove the needed induction.

You prove that no individual F(n) is needed.

Your logic says that you can't factor 36, as none of its factors are 
"needed".

Sorry, you are just proving your stupidity, and show that you don't 
understand the words that you are saying.

Note also, Peano doesn't "create" the Naturals with induction, but 
creates the set with a recursive procedure. He then uses induction to 
prove properties of the set.