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

On 1/26/25 3:59 AM, WM wrote:

On 25.01.2025 15:16, Richard Damon wrote:
 

Give the first necessary FISON which according to Cantor's theorem exists in case that their union is ℕ.

>
The question is based on a false premise.

 Go through the sequence of all FISONs. Every not necessary FISON can be discarded, one after the other. Otherwise it would be necessary. What remains? Nothing. In the same way every not sufficient FISON can be wasted.
 Regards, WM
 

But *YOU* with your finite logic CAN'T go through every FISON individually, because there is an infinite number of them, so you begin with a false premise.
No matter how many FISONs you have gone through, there are still Aleph_0 FISONs left, so you can discard the one you are at, and all below it,
Sorry, you are just showing that your brain is exploded into illogical smithereens from the contradictions created by your Naive Logic.