Re: Replacement of Cardinality

On 2024-08-02 11:02:24 +0000, WM said:

Le 02/08/2024 à 08:48, Mikko a écrit :

On 2024-07-31 14:20:00 +0000, WM said:

 

The bijection is not true.

 Of course not, just like the Moon is not true. It just is there.

 The bijection concerns only the potentially infinite initial segments.
Every natural number that can be verified in the bijection has ∀n ∈
ℕ_verif: |ℕ \ {1, 2, 3, ..., n}| = ℵo successors, ℵo of which cannot
be verified.
Proof: Ther are more algebraic numbers than prime numbers. Every not completely confused brain recognizes this.

Which is irrelevant to the meaning of "true" and its inapplicablility
to a bijection.
--
Mikko