Re: The set of necessary FISONs

Am Tue, 11 Feb 2025 11:16:31 +0100 schrieb WM:

On 11.02.2025 01:48, Jim Burns wrote:

On 2/10/2025 7:05 PM, Richard Damon wrote:

On 2/10/25 10:02 AM, WM wrote:

On 10.02.2025 13:37, Richard Damon wrote:

On 2/10/25 4:47 AM, WM wrote:

 

"Theorem B:
Every embodiment of different numbers of the first and the second
number class has a smallest number, a minimum."

So, your "Set of Required FISONs" isn't a set of the first or second
class, it is an empty set.

So it is.

Which just shows that no particular FISON is needed.
Doesn't mean that you can't use a set of FISONs to make the set of
Natural Numbers.

Yes.

Then name the first FISON that must exist according to Cantor's theorem,
see above.

No FISON is necessary.

⎛ If no FISON is required ⎜ then no FISON is possible.

That is not necessarily so. But if a FISON or set of FISONs is possible
and not empty, then it has a first element. Find it. Overcome the result
of induction, i.e., infinity.

Induction does not include infinity.

--
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.