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

On 1/3/25 3:47 AM, WM wrote:

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.
 Regards, WM
 

No, the set of *ALL* FISONs, is an infinite set, and covers *ALL* of the infinite set of N.
Your problem is you can't imagine what an infinite set actually is, because you logic is stuck in the land of finite operations, and thus you are trying to talk about things that don't exist in your logic system.
You are just showing how badly you system and brain have exploded into smithereens of inconsistancy from the error of using it outsides its abilities.