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 : 04. Nov 2024, 12:07:35
Autres entêtes
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On 03.11.2024 22:21, Richard Damon wrote:

But Induction *IS* valid for all Natural Numbers.
Only for all natnumbers which can be defined and which belong to a finite initial segment which is followed by ℵo natnumbers most of which you cannot define.
By induction you can prove the sum n(n+1)/2 for every initial segment 1+2+3+...+n. But not for all natural numbers.
Regards, WM

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
3 Sep 24 i   `* Re: How many different unit fractions are lessorequal than all unit fractions?2089Jim Burns
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
5 Sep 24 i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?2082Jim Burns
5 Sep 24 i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2081WM
5 Sep 24 i     i   +* Re: How many different unit fractions are lessorequal than all unit fractions?2079Python
5 Sep 24 i     i   i+* Re: How many different unit fractions are lessorequal than all unit fractions?4Moebius
5 Sep 24 i     i   ii`* Re: How many different unit fractions are lessorequal than all unit fractions?3Moebius
6 Sep 24 i     i   ii `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
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
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
7 Sep 24 i     i   i i   `* Re: How many different unit fractions are lessorequal than all unit fractions?2061Python
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?2058Moebius
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
9 Sep 24 i     i   i i     i     i i i i `* Re: quantifier order3joes
10 Sep 24 i     i   i i     i     i i i i  `* Re: quantifier order2WM
11 Sep 24 i     i   i i     i     i i i i   `- Re: quantifier order1Richard Damon
10 Sep 24 i     i   i i     i     i i i `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
10 Sep 24 i     i   i i     i     i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
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
9 Sep 24 i     i   i i     i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?6joes
9 Sep 24 i     i   i i     i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?5WM
9 Sep 24 i     i   i i     i     i   +* Re: How many different unit fractions are lessorequal than all unit fractions?3joes
9 Sep 24 i     i   i i     i     i   i+- Re: How many different unit fractions are lessorequal than all unit fractions?1Moebius
9 Sep 24 i     i   i i     i     i   i`- Re: How many different unit fractions are lessorequal than all unit fractions?1Moebius
11 Sep 24 i     i   i i     i     i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
8 Sep 24 i     i   i i     i     `* Re: How many different unit fractions are lessorequal than all unit fractions?28joes
8 Sep 24 i     i   i i     i      +* Re: How many different unit fractions are lessorequal than all unit fractions?26Moebius
9 Sep 24 i     i   i i     i      i`* Re: How many different unit fractions are lessorequal than all unit fractions?25WM
9 Sep 24 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?6joes
9 Sep 24 i     i   i i     i      i i`* Re: How many different unit fractions are lessorequal than all unit fractions?5WM
9 Sep 24 i     i   i i     i      i i +- Re: How many different unit fractions are lessorequal than all unit fractions?1joes
10 Sep 24 i     i   i i     i      i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
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
10 Sep 24 i     i   i i     i      i `* Re: How many different unit fractions are lessorequal than all unit fractions?17Chris M. Thomasson
10 Sep 24 i     i   i i     i      i  `* Re: How many different unit fractions are lessorequal than all unit fractions?16Moebius
10 Sep 24 i     i   i i     i      i   +- Re: How many different unit fractions are lessorequal than all unit fractions?1Moebius
10 Sep 24 i     i   i i     i      i   `* Re: How many different unit fractions are lessorequal than all unit fractions?14Chris M. Thomasson
10 Sep 24 i     i   i i     i      i    +* Re: How many different unit fractions are lessorequal than all unit fractions?11Chris M. Thomasson
10 Sep 24 i     i   i i     i      i    i+* Re: How many different unit fractions are lessorequal than all unit fractions?3WM
11 Sep 24 i     i   i i     i      i    ii`* Re: density of the reals2joes
11 Sep 24 i     i   i i     i      i    ii `- Re: density of the reals1WM
10 Sep 24 i     i   i i     i      i    i+* Re: How many different unit fractions are lessorequal than all unit fractions?6Moebius
10 Sep 24 i     i   i i     i      i    ii`* Re: How many different unit fractions are lessorequal than all unit fractions?5Chris M. Thomasson
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10 Sep 24 i     i   i i     i      i    ii  +* Re: How many different unit fractions are lessorequal than all unit fractions?2Chris M. Thomasson
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10 Sep 24 i     i   i i     i      i    ii  `- Re: How many different unit fractions are lessorequal than all unit fractions?1Chris M. Thomasson
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10 Sep 24 i     i   i i     i      i     `- Re: How many different unit fractions are lessorequal than all unit fractions?1Chris M. Thomasson
9 Sep 24 i     i   i i     i      `- Re: How many different unit fractions are lessorequal than all unit fractions?1FromTheRafters
7 Sep 24 i     i   i i     `* Re: How many different unit fractions are lessorequal than all unit fractions?2002WM
7 Sep 24 i     i   i i      `* Re: How many different unit fractions are lessorequal than all unit fractions?2001Richard Damon
7 Sep 24 i     i   i i       `* Re: How many different unit fractions are lessorequal than all unit fractions?2000WM
7 Sep 24 i     i   i i        +- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
7 Sep 24 i     i   i i        +* Re: How many different unit fractions are lessorequal than all unit fractions?28joes
7 Sep 24 i     i   i i        i`* Re: How many different unit fractions are lessorequal than all unit fractions?27WM
7 Sep 24 i     i   i i        i +* Re: How many different unit fractions are lessorequal than all unit fractions?23Richard Damon
7 Sep 24 i     i   i i        i i+- Re: How many different unit fractions are lessorequal than all unit fractions?1Python
8 Sep 24 i     i   i i        i i`* Re: How many different unit fractions are lessorequal than all unit fractions?21WM
8 Sep 24 i     i   i i        i i `* Re: How many different unit fractions are lessorequal than all unit fractions?20Richard Damon
9 Sep 24 i     i   i i        i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?19WM
9 Sep 24 i     i   i i        i i   +* Re: How many different unit fractions are lessorequal than all unit fractions?15Richard Damon
9 Sep 24 i     i   i i        i i   i`* Re: How many different unit fractions are lessorequal than all unit fractions?14WM
9 Sep 24 i     i   i i        i i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?9joes
9 Sep 24 i     i   i i        i i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?8WM
9 Sep 24 i     i   i i        i i   i i +* Re: How many different unit fractions are lessorequal than all unit fractions?6joes
10 Sep 24 i     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   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
8 Sep 24 i     i   i i        i `* Re: How many different unit fractions are lessorequal than all unit fractions?3joes
7 Sep 24 i     i   i i        `* Re: How many different unit fractions are lessorequal than all unit fractions?1970Python
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7 Sep 24 i     i   i `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
6 Sep 24 i     i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Jim Burns
5 Sep 24 i     `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
4 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?91Jim Burns
12 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?6Chris M. Thomasson
6 Oct 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?3WM
30 Oct 24 `* Re: How many different unit fractions are lessorequal than all unit fractions?4Chris M. Thomasson

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