Re: More complex numbers than reals?

Le 16/07/2024 à 20:58, Jim Burns a écrit :

On 7/16/2024 9:03 AM, WM wrote:

Le 15/07/2024 à 20:53, Moebius a écrit :

Am 15.07.2024 um 20:31 schrieb Python:

Le 15/07/2024 à 16:46, WM a écrit :

 

Probably the idea was discussed that
an inclusion-monotonic sequence of infinite terms
could have an empty intersection.

>
Which is an extremely trivial state of afairs,
Hint:
There is no natural number in
the intersection of all "endsegments".

>
True.

 And each end segment is infiniteⁿᵒᵗᐧᵂᴹ.

Each number that can be used for bijections has an infinite endsegment. Therefore the following statements are false:
joes: IN UNENDLICH VIELEN SCHRITTEN wird jede Zahl erreicht.
Cantor: "such that every element of the set stands at a definite position of this sequence"
The ℵo terms of the infinite endsegments cannot be deleted in steps.

 There is no natural number in
the intersection of all infiniteⁿᵒᵗᐧᵂᴹ end segments.

What about the infinitely many numbers which are remainimg from E(1)?

 

But you claim an empty intersection of
all infinite endsegments,

 Each natural number is not.in at least one infiniteⁿᵒᵗᐧᵂᴹ end segments.

What numbers constitute the infinite endsegment which is common to all infinity endsegments.
Regards, WM