Re: Replacement of Cardinality

Le 13/08/2024 à 20:34, Jim Burns a écrit :

On 8/13/2024 10:17 AM, WM wrote:

Le 12/08/2024 à 19:23, Richard Damon a écrit :

On 8/12/24 9:50 AM, WM wrote:

Le 11/08/2024 à 19:56, Jim Burns a écrit :

 

What causes an exception: nₓ ∈ ℕ:
⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?

>
The end of the positive axis.

>
Which,
by the definition of the Natural Numbers,
doesn't exist.

>
The end of the positive axis exists.

 No point in the positive axis is
largest in the positive axis or
smallest in the positive axis.

What is smaller than every positive x is smaller than the interval (0, oo).
Regards, WM