Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively)

On 01.01.2025 01:45, Jim Burns wrote:

On 12/31/2024 1:05 PM, WM wrote:

On 31.12.2024 16:37, Richard Damon wrote:

 

[...]

>
I don't stop
but know that
every FISON is finite as its name says
and covers at most 1 % of ℕ.
If you don't agree
find a counterexample.

 No FISON is smaller than 1% of the maximum FISON.

{1} is smaller than {101} which is smaller than all larger FISONs.

Each FISON is a counter.example --
NOT because any of them is larger, but
because no maximum FISON exists, darkᵂᴹ or visibleᵂᴹ.

Maximum FISONs cannot be grasped because they are potentially infinite. But all are smaller than 1 % of ℕ because finity is smaller than infinity by at least 1 %.
Regards, WM