Re: how

Le 05/06/2024 à 21:28, Jim Burns a écrit :

On 6/5/2024 6:43 AM, WM wrote:

Le 04/06/2024 à 23:31, Jim Burns a écrit :

On 6/4/2024 10:10 AM, WM wrote:

Le 04/06/2024 à 04:07, Jim Burns a écrit :

 

Assumption (2.) describes
objects in our familiar arithmetic.

>
That is true

 Thank you.

 

Assumption 2.
ℕ⁺ holds all.and.only
numbers countable.to by.1 from.0

>
Of course.

 Assumption 2 in detail.

does not contradict that contrary to Cantor's claim most natural numbers are uncountable, although with n also n^n^n is countable.

 

For all counted n:
|ℕ \ {1, 2, 3, ..., n}| = ℵo.

 not.exists n ∈ ℕ⁺:  |ℕ⁺\{n≥}| ≠ ℵ₀
 What do you (WM) think that proves?

It proves that people who say so are stupid and cannot understand that ℵo natural numbers will remain uncounted forever.
Regards, WM