Re: The set of necessary FISONs

On 2/10/25 4:56 AM, WM wrote:

On 09.02.2025 18:20, Jim Burns wrote:

On 2/9/2025 5:59 AM, WM wrote:

 

minimal.inductive ≠ inductive ≠ infinite

>
Then you are wrong.
Every inductive set is infinite.

>
Some infinite sets, such as E(137),
are not inductive.

 That is irrelevant.

>
Also,
some inductive sets, such as ℝ,
are not minimal.inductive.

 That is irrelevant.
 The set of useless FISONs is inductive and therefore infinite. No FISON can change the assumption U(A(n)) = ℕ. Therefore every FISON can be omitted. ==> { } = ℕ.
 Regards, WM
 

Which means that each element is not needed, but doesn't prove that you can't get the answer from a union of an infinite set of them.
Sorry, but you just don't understand your claims, in part because you are using just Naive Logic from Naive Math, and using Naive set theory to prove a falsehood, because your whole system blew itself up on the contradictions in the system.