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 : acm (at) *nospam* muc.de (Alan Mackenzie)
Groupes : sci.math
Date : 27. Oct 2024, 16:55:06
Autres entêtes
Organisation : muc.de e.V.
Message-ID : <vflnoq$l02$1@news.muc.de>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13
User-Agent : tin/2.6.3-20231224 ("Banff") (FreeBSD/14.1-RELEASE-p3 (amd64))
WM <wolfgang.mueckenheim@tha.de> wrote:
On 26.10.2024 05:21, Jim Burns wrote:

The proof that all unit fractions can be defined
is to define them
as reciprocals of positive countable.to.from.0 numbers.

That describes all of them and only them.

No, you falsely assume that all natnumbers can be defined.

Wrong.  Natural numbers are defined as those defined by the Peano
axioms.  That is what we mean by "natural number".  Anything which
"can't be defined" this way isn't a natural number.

[ .... ]

Regards, WM

--
Alan Mackenzie (Nuremberg, Germany).


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
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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
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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     `- 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
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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
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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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