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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Mon, 2 Dec 2024 22:20:51 -0800
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On 12/2/2024 9:54 PM, Moebius wrote:
> 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."

Agreed! tends is better for sure.