Re: The set of necessary FISONs

Am Sun, 26 Jan 2025 09:41:22 +0100 schrieb WM:

On 25.01.2025 14:56, joes wrote:
 

There is obviously no single FISON that is equal to N.

Obviously every* union of FISONs is finite, because there are never two
consecutive actually infinite sets in ℕ, and every FISON has an infinite
set as successors.
Obviously every* unbion of FISONs is a FISON.

*finite
Every infinite union of FISONs is obviously infinite.

Do you agree that or every FISON the question whether it is necessary
can be answered?

Yes, in the negative. That does not imply the nonexistence of a
sufficient set.

It implies that there is not a first FISON. That proves by induction
that every FISON can be dropped. Your belief is dysfunctional logic.

Yes, every single FISON can be dropped.

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.