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 : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 05. Apr 2024, 09:56:55
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Organisation : Nemoweb
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Le 04/04/2024 à 15:22, Richard Damon a écrit :
On 4/4/24 9:07 AM, WM wrote:

It doesn't, Bijections are always between two DISTINCT sets, not a set and a piece of itself thought of as a set.
>
"In mathematics, a set A is Dedekind-infinite (named after the German mathematician Richard Dedekind) if some proper subset B of A is equinumerous to A. Explicitly, this means that there exists a bijective function from A onto some proper subset B of A." Wikipedia.
 
Right, but that "Proper Subset" is considered as an independent item, not as just pieces of the original set.
Nevertheless it is a piece of the original set.
Regards, WM

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24 Mar 24 * V1414WM
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31 Mar 24 ii    i  i    `* Re: Contradiction of bijections as a measure for infinite sets1273WM
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