Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 16. Nov 2024, 22:36:41
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vhb399$7ese$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
User-Agent : Mozilla Thunderbird
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).