Re: density of the reals

Liste des GroupesRevenir à s math 
Sujet : Re: density of the reals
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 11. Sep 2024, 15:33:14
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vbs9n9$3l368$1@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 26 27
User-Agent : Mozilla Thunderbird
On 11.09.2024 08:05, joes wrote:
Am Tue, 10 Sep 2024 21:13:57 +0200 schrieb WM:
On 10.09.2024 20:38, Chris M. Thomasson wrote:
It seems that any non-zero gap can have unit fractions small enough to
fit in it...
A gap of countably many points is not sufficient but is a subgap of
every gap between unit fractions.
Why is it not sufficient?
Because between any two unit fractions there are uncountably many points.

Since when are the reals countable?
Every uncountable set has a countable subset, in fact uncountably many. The countable set (0, a) is a subinterval of the uncountable set (0, d) comprising ℵo unit fractions. No x of (0, a) can have smaller unit fractions. Well, perhaps one.
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
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?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
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
10 Sep 24 i     i   i i     i      i    ii `* Re: How many different unit fractions are lessorequal than all unit fractions?4Moebius
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
10 Sep 24 i     i   i i     i      i    ii  i`- Re: How many different unit fractions are lessorequal than all unit fractions?1Chris M. Thomasson
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
22 Sep 24 i     i   i i     i      i    i`- Re: How many different unit fractions are lessorequal than all unit fractions?1Chris M. Thomasson
10 Sep 24 i     i   i i     i      i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2Moebius
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?1999WM
7 Sep 24 i     i   i i      `* Re: How many different unit fractions are lessorequal than all unit fractions?1998Richard Damon
7 Sep 24 i     i   i i       `* Re: How many different unit fractions are lessorequal than all unit fractions?1997WM
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
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
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?1967Python
6 Sep 24 i     i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?6FromTheRafters
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?90Jim 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

Haut de la page

Les messages affichés proviennent d'usenet.

NewsPortal