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 : 09. Sep 2024, 16:55:38
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <ddcc775f8a3f832edadc6be01570b9fbf5c3ab4d@i2pn2.org>
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Am Mon, 09 Sep 2024 17:15:23 +0200 schrieb WM:
On 09.09.2024 16:32, Python wrote:
Le 09/09/2024 à 12:19, Prof. Dr. Mückenheim, aka WM a écrit :
 
ℵo unit fractions cannot fit into one of the ℵo intervals between two
of them.
(O, x) is NOT an interval between two unit fractions.
1/n - 1/(n+1) = x is an interval between two unit fraction. This
interval is shifted to the origin, yielding the interval (0, x).
I don’t follow this step.
It does not contain ℵo unit fractions. It does not contain 1/n.
Nor does it contain (finitely) many others. So what?

Note that unit fractions are points on the real line. Therefore there is
a beginning.
How does that follow?

--
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
2 Sep 24 i +* Re: How many different unit fractions are lessorequal than all unit fractions?5Richard Damon
3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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3 Sep 24 i `* Re: How many different unit fractions are lessorequal than all unit fractions?2091Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2090WM
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4 Sep 24 i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2088WM
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7 Sep 24 i     i   ii  `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
6 Sep 24 i     i   i`* Re: How many different unit fractions are lessorequal than all unit fractions?2074WM
6 Sep 24 i     i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?2065joes
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6 Sep 24 i     i   i i `* Re: How many different unit fractions are lessorequal than all unit fractions?2063Python
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8 Sep 24 i     i   i i     i     +* Re: How many different unit fractions are lessorequal than all unit fractions?21Richard Damon
9 Sep 24 i     i   i i     i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?20WM
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