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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Wed, 12 Feb 2025 21:34:12 -0500
Organization: i2pn2 (i2pn.org)
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On 2/12/25 10:43 AM, WM wrote:
> On 12.02.2025 13:16, Richard Damon wrote:
>> On 2/12/25 4:25 AM, WM wrote:
> 
>>> Note: Inductive sets are infinite.
> 
>> Which shows that all are individually removable.
> 
> All are removable together with their predecessors. When a FISON can be 
> removed as useless, then all its predecessors can be removed as useless 
> too. Or do you claim an exception? Therefore all FISONs can be removed 
> as useless.
> 
> Regards, WM
> 
> 

All are removable from the set of FISONs individually requried.

By the same logic, all the factors of 36 can be removed as not required.

Thus, there is no set of required factors of 36.

Thus, it doesn't matter that there is no single FISON that is required, 
all that is required is some infinite subset of the set of FISONs.

Examples are the set of All FISONs with an Odd Top number, or the set of 
ALL FISONs with an Even Top Number.

Both those sets when unioned create the set of Natural Numbers.

And there is no FISON in common for the two set, so it is natural that 
the set of FISION individually required is empty.

Sorry, you just aren't using valid logic, because you logic just can't 
handle infinite sets, and blows up on them.