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

On 1/2/25 12:23 PM, WM wrote:

On 02.01.2025 14:25, Richard Damon wrote:

On 1/2/25 6:40 AM, WM wrote:

 

Every union of FISONs including them all which stay below a certain threshold stays below that threshold. Every FISON stays below 1 % of ℕ.
What can't you understand?

 

No, becuase "all which stay below a certain threshol" is not EVERY FISON.

 Which one is more than 1 % of ℵ₀?

There isn't one, but anytime you CHOSE what you limit is, I can go past it.
If you don't choose a limit, you can't do your operation, as you can't ever finish, as you need to do the operations one by one, and thus never finish.

 

When you actually take the union of ALL that infinite set of FISONs, you will get the full infinite set of N.

 Stupid belief. Which FISON is more than 1 % of ℵ₀?
 Regards, WM

Which isn't a valid question, as that is just admitting that FISONs form an infinte set that you logic can't manipulate.
Sorry, your brain is dead.