Re: quantifier order

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Sujet : Re: quantifier order
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 10. Sep 2024, 17:24:25
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vbprro$31fu6$5@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
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On 09.09.2024 21:55, joes wrote:
Am Mon, 09 Sep 2024 21:03:24 +0200 schrieb WM:
On 09.09.2024 17:49, joes wrote:

No, that is THE question.
The set of unit fractions smaller than all x is empty.
Why is this so? Because all unit fractions are undercut by some x. The x undercutting the last unit fractions (you said that none remains because the set is empty, therefore all must be gone) do not satisfy your following claim:

However, the set of UFs smaller than one arbitrary x is infinite.
Regards, WM

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2198WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2094Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2093WM
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?2087Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2086WM
3 Sep 24 i   `* Re: How many different unit fractions are lessorequal than all unit fractions?2085Jim Burns
4 Sep 24 i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2084WM
4 Sep 24 i     +* Re: How many different unit fractions are lessorequal than all unit fractions?2080Jim Burns
5 Sep 24 i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?2079WM
5 Sep 24 i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?2078Jim Burns
5 Sep 24 i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2077WM
6 Sep 24 i     i   +* Re: How many different unit fractions are lessorequal than all unit fractions?2075Python
6 Sep 24 i     i   i+* Re: How many different unit fractions are lessorequal than all unit fractions?4Moebius
6 Sep 24 i     i   ii`* Re: How many different unit fractions are lessorequal than all unit fractions?3Moebius
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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?2070WM
6 Sep 24 i     i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?2062joes
6 Sep 24 i     i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?2061WM
6 Sep 24 i     i   i i `* Re: How many different unit fractions are lessorequal than all unit fractions?2060Python
6 Sep 24 i     i   i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2059WM
7 Sep 24 i     i   i i   `* Re: How many different unit fractions are lessorequal than all unit fractions?2058Python
7 Sep 24 i     i   i i    +* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
7 Sep 24 i     i   i i    i`- Re: How many different unit fractions are lessorequal than all unit fractions?1joes
7 Sep 24 i     i   i i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2055Moebius
7 Sep 24 i     i   i i     +* Re: How many different unit fractions are lessorequal than all unit fractions?55Moebius
7 Sep 24 i     i   i i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?54WM
7 Sep 24 i     i   i i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?53Richard Damon
7 Sep 24 i     i   i i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?52WM
7 Sep 24 i     i   i i     i   `* Re: How many different unit fractions are lessorequal than all unit fractions?51Richard Damon
8 Sep 24 i     i   i i     i    `* Re: How many different unit fractions are lessorequal than all unit fractions?50WM
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
9 Sep 24 i     i   i i     i     i +* Re: How many different unit fractions are lessorequal than all unit fractions?13Richard Damon
9 Sep 24 i     i   i i     i     i i`* Re: How many different unit fractions are lessorequal than all unit fractions?12WM
9 Sep 24 i     i   i i     i     i i +* Re: How many different unit fractions are lessorequal than all unit fractions?8joes
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
9 Sep 24 i     i   i i     i     i i i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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10 Sep 24 i     i   i i     i     i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
11 Sep 24 i     i   i i     i     i i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
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10 Sep 24 i     i   i i        i i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?3Chris M. Thomasson
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