Re: Replacement of Cardinality

After serious thinking joes wrote :

Am Wed, 28 Aug 2024 13:01:46 +0000 schrieb WM:

Le 28/08/2024 à 05:24, Richard Damon a écrit :
 

So, we can't SEE Achilles pass the tortoise, so how can we know that he
did?

By the same mathematics which proves the existence of dark states.

>

There is no maximum "visible" natural number

Correct. With n also n+1, 2n and n^n^n are visible. Potential infinity!

I am confused wrt. to my signature:

He seems to think that n being some undisclosed (dark) natural number means that n+1 is merely another undisclosed (dark) natural number and you cannot pair (thinking of matching, like in a set intersection instead of pairing as per Cantor) undisclosed numbers. Disclosing n as being equal to 77 would give to n=1 a value of 78 but these would not be examples of his dark numbers.
He thinks that Peano failed to recognize the existence of these dark numbers and has gone to great lengths to convince us that they exist.