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

On 1/10/25 4:30 PM, WM wrote:

On 10.01.2025 21:03, joes wrote:

Am Fri, 10 Jan 2025 20:22:44 +0100 schrieb WM:

 

If actual infinity is invariable, then we can take the set ℕ and
consider it as invariable. When we add further elements, it grows.

The set N u {w}, for example, is not equal to N. You can't call
that invariable.

 Every set in ZF is invariable.

>

Afterwards it contains further elements. Same can be accomplished by
multiplying all natural numbers by 2.

There is no natural n such that 2*n is not natural.

 That it true for every definable number and proves potential infinity.
It contradicts actual infinity. If ***all*** natural numbers are doubled, then you get more than you started with or you did not start with ***all*** natural numbers.
 Regards, WM
 

No it doesn't, you only think it does because your logic can't actually handle infinity.
You are just too stupid to undetstand your stupidity.