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

On 1/4/25 3:52 AM, WM wrote:

On 04.01.2025 05:06, Richard Damon wrote:

On 1/3/25 12:15 PM, WM wrote:

 

Every union of FISONs which stay below a certain threshold stays below that threshold.

>
Every union of a finite number of FISONs is just an admssion that you can't do the actual union of *ALL* FISONs.

 For all FISONs:|ℕ \ {1, 2, 3, ..., n}| = ℵo.
That means there is no exception.
 Regards, WM
 

Just shows your ignorance, and that you don't know what you are talking about.
Just like every natural number is finite, but the set of *ALL* of them is infinite, each FISON is finite, but the union of *ALL* of them creates the full infinite set of Natural Numbers.
But, as you have shown, you are to stupid to see the difference because you just can't actually define the term you use, but claim they are "obvious" but that is just your broken naive mathematics that just don't work under these conditions.
Sorry, your logic has filled your mind with darkness, and it seems you are just to stupid to understand,