Re: Replacement of Cardinality

On 8/17/24 9:42 AM, WM wrote:

Le 17/08/2024 à 13:43, joes a écrit :

Am Wed, 14 Aug 2024 12:14:21 +0000 schrieb WM:

>

Every chosen ε > 0 is larger than this interval y.

Then y must be 0, if epsilon can't be chosen smaller.

>
Try to choose an eps smaller infinitely many unit fractions. Fail.
>
Regards, WM
>
>

 You just confuse your qualifiers as you don't seem to understand how logic, or mathematics works.
 We can choose an eps smaller than ANY GIVEN value.
 That doesn't mean we can choose an eps smaller than ALL values.
 That you can't tell the difference, just shows you don't understand the properties of unbounded sets, because your logic is too small and blew itself up when misapplied, taking your brain out with it.