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:

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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?

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

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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.
 

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

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