Re: Contradiction of bijections as a measure for infinite sets

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Sujet : Re: Contradiction of bijections as a measure for infinite sets
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 01. Apr 2024, 16:37:44
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Organisation : Nemoweb
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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

Date Sujet#  Auteur
24 Mar 24 * V1414WM
24 Mar 24 +* Re: V20Chris M. Thomasson
24 Mar 24 i`* Re: V19WM
24 Mar 24 i `* Re: V18Chris M. Thomasson
24 Mar 24 i  `* Re: V17WM
24 Mar 24 i   +* Re: V15Chris M. Thomasson
25 Mar 24 i   i`* Re: V14WM
26 Mar 24 i   i +* Re: V11Chris M. Thomasson
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28 Mar 24 i   i i i  `* Re: V3WM
28 Mar 24 i   i i i   `* Re: V2Chris M. Thomasson
28 Mar 24 i   i i i    `- Re: V1Chris M. Thomasson
26 Mar 24 i   i i +- Re: V1Chris M. Thomasson
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24 Mar 24 i   `- Re: V1Chris M. Thomasson
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28 Mar 24 ii    i  i`* Re: Contradiction of bijections as a measure for infinite sets1278WM
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29 Mar 24 ii    i  i `* Re: Contradiction of bijections as a measure for infinite sets1276Richard Damon
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30 Mar 24 ii    i  i   `* Re: Contradiction of bijections as a measure for infinite sets1274Richard Damon
31 Mar 24 ii    i  i    `* Re: Contradiction of bijections as a measure for infinite sets1273WM
31 Mar 24 ii    i  i     +* Re: Contradiction of bijections as a measure for infinite sets1271Richard Damon
1 Apr 24 ii    i  i     i`* Re: Contradiction of bijections as a measure for infinite sets1270WM
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