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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Thu, 30 Jan 2025 23:32:52 +0100
Organization: A noiseless patient Spider
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On 30.01.2025 15:30, Richard Damon wrote:
> On 1/30/25 4:14 AM, WM wrote:
>> On 29.01.2025 13:46, Richard Damon wrote:
>>
>>> We can in fact build an infinite set of infinite sets of FISONs whose 
>>> union is the set of Natural Numbers, 
>>
>>
>> Do it. Build such a set. I will show that it fails because all FISONs 
>> are useless for reaching the aim.
>>
> I did.

If there is a set with U(F(n)) = ℕ, then it has a first element that is 
not completely useless. But all F(n) can be shown to be completely 
useless because infinitely many natnumbers are missing. Therefore you 
did not. You cannot. Nobody can.

Regards, WM