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

On 02.01.2025 20:47, Richard Damon wrote:

On 1/2/25 12:28 PM, WM wrote:

 

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.

And ALL finite fractional ratios of Aleph_0, are Aleph_0, and thus
infinite so

the set of FISONs covers less than any fractional ratio of ℕ. This is
true for their union too. Otherwise there must be a first FISON going
beyond this boundary.