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 : noreply (at) *nospam* example.org (joes)
Groupes : sci.math
Date : 21. Oct 2024, 09:17:20
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <1df9bb1273fd1e666e3deb68c07b480bf7a9f505@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Mon, 21 Oct 2024 09:14:20 +0200 schrieb WM:
On 21.10.2024 01:04, joes wrote:
Am Sat, 19 Oct 2024 10:23:05 +0200 schrieb WM:
 
That is not possible if all natural numbers are doubled. The result
covers the interval (0, ω*2) twice as large as the original one (0,
ω).
This destroys the ordering. If m>n, then 2m>2n.
No, also the transfinite numbers are ordered. But for dark numbers the
ordering is inaccessible anyhow.
Yes, but the ordinals up to w*2 are two consecutive infinities.

--
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
3 Sep 24 i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
3 Sep 24 i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
4 Sep 24 i i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
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
4 Sep 24 i     +* Re: How many different unit fractions are lessorequal than all unit fractions?2084Jim Burns
5 Sep 24 i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?2083WM
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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
6 Sep 24 i     i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?2064WM
6 Sep 24 i     i   i i `* Re: How many different unit fractions are lessorequal than all unit fractions?2063Python
6 Sep 24 i     i   i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2062WM
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7 Sep 24 i     i   i i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?53Richard Damon
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7 Sep 24 i     i   i i     i   `* Re: How many different unit fractions are lessorequal than all unit fractions?51Richard Damon
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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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9 Sep 24 i     i   i i     i     i i i`* Re: How many different unit fractions are lessorequal than all unit fractions?7WM
9 Sep 24 i     i   i i     i     i i i +* Re: How many different unit fractions are lessorequal than all unit fractions?5joes
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9 Sep 24 i     i   i i     i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?5WM
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9 Sep 24 i     i   i i        i i   +* Re: How many different unit fractions are lessorequal than all unit fractions?15Richard Damon
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9 Sep 24 i     i   i i        i i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?8WM
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9 Sep 24 i     i   i i        i i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?3Chris M. Thomasson
10 Sep 24 i     i   i i        i i   i `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
9 Sep 24 i     i   i i        i i   `* Re: How many different unit fractions are lessorequal than all unit fractions?3joes
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12 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?6Chris M. Thomasson
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30 Oct 24 `* Re: How many different unit fractions are lessorequal than all unit fractions?4Chris M. Thomasson

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