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

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.math
Date : 16. Oct 2024, 16:33:47
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <9aaf8d3ba0096c1dc3ca1de727776376e9a868ac@i2pn2.org>
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
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Wed, 16 Oct 2024 17:16:47 +0200 schrieb WM:
On 16.10.2024 11:20, joes wrote:
Am Wed, 16 Oct 2024 10:32:46 +0200 schrieb WM:
On 15.10.2024 17:48, joes wrote:
>
Jedes Endsegment besitzt sogar seinen ganzen Inhalt mit seinem
Vorgänger und damit auch mit dem ersten gemeinsam. Und weil das erste
unendlich ist, gibt es auch unendlich viele Segmente.
Und trotzdem bleiben noch unendlich viele Zahlen nicht verindext?
Was? Ein Segment hat einen Index und einen unendlichen Inhalt. Es gibt
unendliche viele Segmente, einen für jede Zahl (die als Index dient).
Jede Zahl ist Index eines unendlichen Segments, das alle Nachfolger
enthält. Die Menge aller Indizes bis zu einem n ist N\E(n). Wo hakt's?
Bei den unendlich vielen Endsegmenten, die unendlich viele Zahlen als
Indizes vrbraucht haben, von denen also unendlich viele keinen
unendlichen Inhalt mehr haben können.
So eins gibt's nicht. Jedes hat einen endlichen Index.

--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2203WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2098Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2097WM
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3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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