Re: The set of necessary FISONs

WM submitted this idea :

On 31.01.2025 18:51, joes wrote:

Am Fri, 31 Jan 2025 13:28:35 +0100 schrieb WM:

>

then all can be discarded,

No, only finitely consecutive ones.

>
Induction concerns all natural numbers n as well as all A(n).

 

But all F(n) can be shown to be completely useless because infinitely
many natnumbers are missing.

Again: every single one, or even an arbitrary finite number.
If you have inf. many segments, you obviously have inf. many numbers.

All finite natural numbers as well as all FISONs obey the Peano axioms.

All naturals are finite. FISONs are not naturals but sets and can’t be
added together.

>
FISONs represent ordinals.

They represent the finite ordinals. The set of all FISONs represents the first transfinite ordinal. FISONs also represent finite cardinals.