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

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?
 Regards, WM

Depends how good you can think.
Potential infinity can be understood out of a iterative creative process, where we specifically think about the discovery of new entities.
Actual Infinity starts with the presumption that we understand that discovery process to be completed. Thus, to understand the properties of "Actual Infinity", we need to abandon that iterative process, and accept that it all happened. This seems something beyond your capability, and thus, to you, Actual Infinity is just beyond your understanding.
A mind (like yours) stuck in sequential thinking just can't handle the concepts.