Re: because g?(g?¹(x)) = g(y) [1/2] Re: how

Liste des GroupesRevenir à s math 
Sujet : Re: because g?(g?¹(x)) = g(y) [1/2] Re: how
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 14. May 2024, 16:24:32
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v1vvng$825f$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12
User-Agent : Mozilla Thunderbird
Am 14.05.2024 um 16:26 schrieb Moebius:
Am 13.05.2024 um 22:21 schrieb WM:
 
Try to remove all natural numbers individually from ℕ.
 Wie stellst Du Dir das vor? Muss man sie in Mückenhausen einzeln von Hand removen? Das kann in der Praxis [->kein Supertask] lange dauern!
 Ich hätte einen Alternativvorschlag: Man kann das mithilfe der "großen Differenz" (\) so hinschreiben:
 IN \ {1} \ {2} \ {3} \ ... = IN \ {{1}, {2}, {3}, ...}
 Ist das nicht "individuell" genug? (Wir wollen hier Linksklammerung voraussetzen, um keine unnötigen Klammern schreiben zu müssen.)
 Es ergibt sich dann natürlich das "erwartete" Ergebnis: {}.
Umgekehrt geht's mithilfe der "großen Vereinigung" auch:
{} u {1} u {2} u {3} u ... = U {{}, {1}, {2}, {3}, ...} .
Es ergibt sich dann natürlich das "erwartete" Ergebnis: IN.

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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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