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

On 1/3/25 4:00 AM, WM wrote:

On 02.01.2025 20:47, Richard Damon wrote:

On 1/2/25 12:33 PM, WM wrote:

On 02.01.2025 14:40, FromTheRafters wrote:

WM has brought this to us :

On 01.01.2025 14:51, joes wrote:

Am Tue, 31 Dec 2024 19:05:24 +0100 schrieb WM:

>

I don't stop but know that every FISON is finite as its name says and
covers at most 1 % of ℕ.

Yes, you stop at some finite threshold.

>
Go farther. Find a FISON that is not below 1 %.

>
One percent of infinitely many is nonsense.

>
It is only for people without extraordinaly mathematical skills. But it is not false. In fact all FISONs are limited to less than 1/10^10^10^10^10^10 of ℵ₀.

>
Which is still infinite,

 when reached. But FISONs don't reach it.
 Regards, WM
 

So? You are just showing that individual finite sets are finite and not infiniite.
When you combine *ALL* FISONs, you get a property that none of them have individually, and that is the infinite nature, which only comes from combinining an INFINITE number of FISONs, which your logic can't do.
You are just proving that you mind is just too small to see your own stupidity.