Re: Contradiction of bijections as a measure for infinite sets

Liste des GroupesRevenir à s math 
Sujet : Re: Contradiction of bijections as a measure for infinite sets
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.math
Date : 02. Apr 2024, 00:03:54
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <uufegr$3p7r0$1@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 4/1/24 11:37 AM, WM wrote:
Le 31/03/2024 à 20:18, Richard Damon a écrit :
On 3/31/24 8:15 AM, WM wrote:
 
And, it can be shown that ℕ and ℚ are the same size.
>
That is believed by some stupids who are too dense to understand logic. The Os in the matrix
XOOO...
XOOO...
XOOO...
XOOO...
..
cannot disappear by exchange with Xs.
>
So?
>
That isn't the Bijection we are looking for.
>
It is true for every mapping.
>
Nope, only if you try to biject WITH a set, and not between two DIFFERENT sets.
 The different sets are ℕ and ℚ. The bijection with the first column does not change that.
 Regards, WM
 
Yes it does, as you are not "moving" the O out of the set of Q.
That makes a difference.

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