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.

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That is true

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Thank you.

>

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

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Of course.

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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.

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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.