Re: Replacement of Cardinality

On 8/2/24 12:42 PM, WM wrote:

Le 02/08/2024 à 18:12, Richard Damon a écrit :

On 8/2/24 11:09 AM, WM wrote:

 

There are infinitely many by the definition of accumulation point. You cannot find them. Therefore they are dark.

>
Nope, we can find any one of them we want.

 But you cannot want any one

Why not?

>
Again, you are changing the conditional incorrectly because you logic can't handle unbounded values.

 What you want is bounded. The set of all eps you ever choose is finite. You will  never separate infinitely many unit fractions.
 Regards, WM

Nope, Maybe YOU are the one that is limited.
Numbers are not limited by us, but we might be limited by numbers.
The Numbers are not limited by the numbers we happen to choose, since we are not limited to choosing numbers that have already been choosen.
This is just the flaw in your logic.