Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 22. Oct 2024, 15:15:52
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vf8c2o$1gn3h$1@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
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On 22.10.2024 15:19, Moebius wrote:
Am 22.10.2024 um 11:39 schrieb joes:

die Menge IN enthält ALLE natürlichen Zahlen.
Dann kann ma ja alle verdoppeln.
 Insbesondere enthält IN also zu jeder Zahl n auch die Zahl 2n = n + n. Diese Zahl ist genau n Schritte von n "entfernt",
Ja, die kann man aber auch verdoppeln.

Das alles spielt sich für jede natürliche Zahl n "im Endlichen" ab.
Das Endliche ist ja auch vollständig gefüllt. Aber alle diese Zahlen kann man verdoppeln.
FF: Niemand bezweifelt, dass für jede natürliche Zahl n die Zahl 2n größer ist als n
Wenn alle natürlichen Zahlen multipliziert werden, dann ist keine größere natürliche Zahl mehr vorhanden. Es gibt nämlich keine größere als alle. Aber 2n > n.
Regards, WM

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