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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Sat, 16 Nov 2024 22:36:41 +0100
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Am 16.11.2024 um 22:11 schrieb Chris M. Thomasson:
> On 11/16/2024 1:09 PM, Chris M. Thomasson wrote:
>>
>> (infinity - infinity) = undefined
>>
>> ?

Right.

> Say taking all of the infinite even numbers away... That leaves an 
> infinite number of odd numbers? This type of thought.

Exactly.

IN = {1, 2, 3, 4, ...} is infinite and E = {2, 4, 6, ...} is infinite.

But {1, 2, 3, 4, ...} \ {2, 4, 6, ...} is still infinite.

While on the other hand

{1, 2, 3, 4, ...} \ {1, 2, 3, 4, ...} = {} (and hence not infinite).