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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Mon, 10 Feb 2025 07:37:07 -0500
Organization: i2pn2 (i2pn.org)
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On 2/10/25 4:03 AM, WM wrote:
> On 09.02.2025 18:04, Richard Damon wrote:
> 
>> And all that does is say that the set of all FISONs is a set where all 
>> the members are individually
> 
> and all their predecessors
> 
>> not needed to build a set whose union is the set of Natual Numbers.
>> There is nothing in the theory to let you jump from a property of the 
>> members to a property of the set as a whole,
> 
> All FISONs are proven useless for changing the assumption. Therefore 
> they can be omitted and what remains is { } = ℕ.
> 
> Regards, WM

All FISONs are proven INDIVIDUALLY useless for doing that.

Just as the set of all necessary factors of 36 is an empty set, we can 
still factor 36.

You just don't have a proper logic to work with.