Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively)

On 04.01.2025 19:26, Moebius wrote:
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Every union of FISONs including them all which stay below a certain threshold stays below that threshold.

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I just mentioned a counterexample to your claim,

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That is not an example but a silly claim contradicted by my theorem. My theorem is proved by the fact that nothing is in the union which could make it larger than all elements in the union.

 

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| For each and every FISON F: F c_proper IN.

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Not only finite but below 1 % of |ℕ|.
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But UNION(Set_of_FISONs) = IN.

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Every union of FISONs which stay below a certain threshold stays below that threshold.
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So the union of (the set of) _all_ FISONs does NOT "stay below" IN, though each and every FISON does.

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Your matheologial belief is outside of mathematics and does not deserve further discussion.