Re: The set of necessary FISONs

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.

⎛ 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.
Regards, WM