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 : 19. Oct 2024, 20:02:33
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vf0vo9$6c6$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
User-Agent : Mozilla Thunderbird
On 19.10.2024 20:22, Alan Mackenzie wrote:
WM <wolfgang.mueckenheim@tha.de> wrote:

An infinite set is one which has a proper subset which can be
put into 1-1 correspondence with the original set.  That is the
definition.
According to Dedekind every set {1, 2, 3, ..., n} is in correspondence with the set {2, 4, 6, ..., 2n} which covers twice the interval, containing numbers not in the original set. This does not change when the whole set ℕ is multiplied by 2. The result covers twice the interval, containing numbers not in the original set ℕ.
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
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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
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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
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