Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 17.01.2025 01:37, Richard Damon wrote:

On 1/16/25 10:19 AM, WM wrote:

On 16.01.2025 13:27, Richard Damon wrote:
>

The potential infinity itself isn't growing, our KNOWLEDGE of it grows as we generate its members.

>
But the knowledge of actually infinite sets isn't growing?

Depends how good you can think.

No, it has nothing to do with your missing knowledge or your lack of thinking capability. "Potential infinity refers to a procedure that gets closer and closer to, but never quite reaches, an infinite end. [...] Completed infinity, or actual infinity, is an infinity that one actually reaches; the process is already done."[E. Schechter: "Potential versus completed infinity: Its history and controversy" (5 Dec 2009)]
Regards, WM