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

Am 03.12.2024 um 06:34 schrieb Chris M. Thomasson:
 

What about {1, 2, 3, ..., n}, where n is taken to infinity? No limit?

         lim_(n->oo) {1, 2, 3, ..., n} = {1, 2, 3, ...} .
 

{1, 2, 3, ..., n} when n is taken to infinity = the set of all natural numbers?

 Indeed. Though better say "when (as?) n _tends do_ infinity."