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

On 12.12.2024 20:08, FromTheRafters wrote:

After serious thinking WM wrote :

On 12.12.2024 13:26, Richard Damon wrote:

On 12/12/24 4:12 AM, WM wrote:

>

Note, "inifinite" isn't a Natural Number,

>
But a state,often dscribed byan infinite whole number.

 Infinite whole number? Sheeesh!!

This is certainly not the only notion of Cantor's which you will find ridiculous after having understood its meaning.
"erhalten wir nicht bloß eine einzige unendliche ganze Zahl, sondern eine unendliche Folge von solchen, die voneinander wohl unterschieden sind und in gesetzmäßigen zahlentheoretischen Beziehungen zueinander sowohl wie zu den endlichen ganzen Zahlen stehen." [Cantor] Let Google translate it.
Regards, WM