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

On 02.01.2025 14:26, Richard Damon wrote:

On 1/2/25 6:52 AM, WM wrote:

On 01.01.2025 15:47, FromTheRafters wrote:

WM wrote :

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The collection of definable natural numbers (FISONs) is closed under multiplication

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How can that be?

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Potential infinity.

Whicn means it never ends, and doesn't have a highest member.

So it is. Nevertheless no FISON is more than 1 % of ℵ₀.
Hard to understand for people without extraodinary mathematical capabilities.
Hint first try to understand 50 %, then 10 %, then 1 %, then 1 ppm, then 1 ppb, then 1/10^10^10^10^10. And then go on. Then you understand the properties of FISONs.
Regards, WM