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

On 1/5/25 5:40 AM, WM wrote:

On 04.01.2025 14:17, Richard Damon wrote:

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.
>

Just like every natural number is finite,
but the set of *ALL* of them is infinite, each FISON is finite,

 Not only finite but below 1 % of |ℕ|.

So? Until you can handle *ALL* of them together, your claim is just a lie about the whole.

 

but the union of *ALL* of them creates the full infinite set of Natural Numbers.

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

Which is meaningless to describe the effect of the union of *ALL* FISONs.
You are just proving that you are so stupid you can't see your stupidity.