Re: Incompleteness of Cantor's enumeration of the rational numbers

Liste des GroupesRevenir à s logic 
Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic
Date : 17. Dec 2024, 20:45:54
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vjskdj$1sk3l$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
User-Agent : Mozilla Thunderbird
On 17.12.2024 13:34, Richard Damon wrote:
On 12/17/24 5:25 AM, WM wrote:

There is no upper bound for the ratio between distance and size of intervals. This excludes the density of intervals. This excludes covering of all rationals by intervals. This excludes a bijection between natural numbers and rational numbers.

Nope,
It does. oo/3 is infinite. That means there are finite distances much larger than the intervals of finite length between intervals which are next to each other. This excludes that these intervals are dense.
Regards, WM

Date Sujet#  Auteur
3 Nov 24 * Incompleteness of Cantor's enumeration of the rational numbers328WM
3 Nov 24 +* Re: Incompleteness of Cantor's enumeration of the rational numbers58Mikko
3 Nov 24 i`* Re: Incompleteness of Cantor's enumeration of the rational numbers57WM
13 Dec 24 i `* Re: Incompleteness of Cantor's enumeration of the rational numbers56Mikko
13 Dec 24 i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers55WM
14 Dec 24 i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers54Mikko
14 Dec 24 i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers53WM
14 Dec 24 i     +* Re: Incompleteness of Cantor's enumeration of the rational numbers46joes
14 Dec 24 i     i`* Re: Incompleteness of Cantor's enumeration of the rational numbers45WM
14 Dec 24 i     i +* Re: Incompleteness of Cantor's enumeration of the rational numbers6Richard Damon
14 Dec 24 i     i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
15 Dec 24 i     i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers4Mikko
15 Dec 24 i     i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers3WM
15 Dec 24 i     i i   +- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
16 Dec 24 i     i i   `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Mikko
15 Dec 24 i     i `* Re: Incompleteness of Cantor's enumeration of the rational numbers38Mikko
15 Dec 24 i     i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers37WM
15 Dec 24 i     i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers18Richard Damon
15 Dec 24 i     i   i`* Re: Incompleteness of Cantor's enumeration of the rational numbers17WM
15 Dec 24 i     i   i +* Re: Incompleteness of Cantor's enumeration of the rational numbers15Richard Damon
16 Dec 24 i     i   i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers14WM
16 Dec 24 i     i   i i +* Re: Incompleteness of Cantor's enumeration of the rational numbers8Mikko
16 Dec 24 i     i   i i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers7WM
17 Dec14:08 i     i   i i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers6Mikko
17 Dec20:29 i     i   i i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
18 Dec11:16 i     i   i i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers4Mikko
18 Dec12:25 i     i   i i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers3WM
19 Dec11:38 i     i   i i i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers2Mikko
19 Dec16:37 i     i   i i i      `- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
17 Dec00:55 i     i   i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers5Richard Damon
17 Dec11:25 i     i   i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers4WM
17 Dec13:34 i     i   i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers3Richard Damon
17 Dec20:45 i     i   i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers2WM
19 Dec04:32 i     i   i i     `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
16 Dec 24 i     i   i `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Mikko
16 Dec 24 i     i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers18Mikko
16 Dec 24 i     i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers17WM
17 Dec14:13 i     i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers16Mikko
17 Dec20:32 i     i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers15WM
18 Dec11:23 i     i       `* Re: Incompleteness of Cantor's enumeration of the rational numbers14Mikko
18 Dec12:24 i     i        `* Re: Incompleteness of Cantor's enumeration of the rational numbers13WM
19 Dec11:41 i     i         `* Re: Incompleteness of Cantor's enumeration of the rational numbers12Mikko
19 Dec16:47 i     i          `* Re: Incompleteness of Cantor's enumeration of the rational numbers11WM
20 Dec03:52 i     i           `* Re: Incompleteness of Cantor's enumeration of the rational numbers10Richard Damon
20 Dec15:50 i     i            `* Re: Incompleteness of Cantor's enumeration of the rational numbers9WM
20 Dec16:33 i     i             `* Re: Incompleteness of Cantor's enumeration of the rational numbers8Richard Damon
21 Dec12:00 i     i              `* Re: Incompleteness of Cantor's enumeration of the rational numbers7WM
21 Dec14:19 i     i               `* Re: Incompleteness of Cantor's enumeration of the rational numbers6Richard Damon
21 Dec22:40 i     i                `* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
22 Dec13:28 i     i                 `* Re: Incompleteness of Cantor's enumeration of the rational numbers4Richard Damon
22 Dec16:04 i     i                  `* Re: Incompleteness of Cantor's enumeration of the rational numbers3WM
22 Dec20:20 i     i                   +- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
23 Dec02:03 i     i                   `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
15 Dec 24 i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers6Mikko
15 Dec 24 i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
15 Dec 24 i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers3Richard Damon
15 Dec 24 i       i`* Re: Incompleteness of Cantor's enumeration of the rational numbers2WM
15 Dec 24 i       i `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
16 Dec 24 i       `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Mikko
4 Nov 24 +* Re: Incompleteness of Cantor's enumeration of the rational numbers268Jim Burns
4 Nov 24 i`* Re: Incompleteness of Cantor's enumeration of the rational numbers267WM
4 Nov 24 i `* Re: Incompleteness of Cantor's enumeration of the rational numbers266Mikko
4 Nov 24 i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers232WM
4 Nov 24 i  i+* Re: Incompleteness of Cantor's enumeration of the rational numbers11Richard Damon
4 Nov 24 i  ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers10WM
5 Nov 24 i  ii `* Re: Incompleteness of Cantor's enumeration of the rational numbers9Richard Damon
5 Nov 24 i  ii  `* Re: Incompleteness of Cantor's enumeration of the rational numbers8WM
5 Nov 24 i  ii   `* Re: Incompleteness of Cantor's enumeration of the rational numbers7Richard Damon
5 Nov 24 i  ii    `* Re: Incompleteness of Cantor's enumeration of the rational numbers6WM
6 Nov 24 i  ii     `* Re: Incompleteness of Cantor's enumeration of the rational numbers5Richard Damon
6 Nov 24 i  ii      `* Re: Incompleteness of Cantor's enumeration of the rational numbers4WM
7 Nov 24 i  ii       `* Re: Incompleteness of Cantor's enumeration of the rational numbers3Richard Damon
7 Nov 24 i  ii        `* Re: Incompleteness of Cantor's enumeration of the rational numbers2WM
7 Nov 24 i  ii         `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Richard Damon
4 Nov 24 i  i`* Re: Incompleteness of Cantor's enumeration of the rational numbers220Mikko
4 Nov 24 i  i `* Re: Incompleteness of Cantor's enumeration of the rational numbers219WM
5 Nov 24 i  i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers218Mikko
5 Nov 24 i  i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers4WM
6 Nov 24 i  i   i`* Re: Incompleteness of Cantor's enumeration of the rational numbers3Mikko
6 Nov 24 i  i   i `* Re: Incompleteness of Cantor's enumeration of the rational numbers2WM
7 Nov 24 i  i   i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Mikko
6 Nov 24 i  i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)213Ross Finlayson
6 Nov 24 i  i    +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)211WM
6 Nov 24 i  i    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)210Mikko
6 Nov 24 i  i    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)209WM
7 Nov 24 i  i    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)208Mikko
7 Nov 24 i  i    i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)206WM
8 Nov 24 i  i    i   i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)205Mikko
8 Nov 24 i  i    i   i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)204WM
9 Nov 24 i  i    i   i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)203Mikko
9 Nov 24 i  i    i   i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)202WM
10 Nov 24 i  i    i   i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)201Mikko
10 Nov 24 i  i    i   i     +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)198WM
11 Nov 24 i  i    i   i     i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)197Mikko
11 Nov 24 i  i    i   i     i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)195WM
12 Nov 24 i  i    i   i     i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)194Mikko
12 Nov 24 i  i    i   i     i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)193WM
13 Nov 24 i  i    i   i     i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)192Mikko
13 Nov 24 i  i    i   i     i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)191WM
14 Nov 24 i  i    i   i     i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)190Mikko
14 Nov 24 i  i    i   i     i i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)189WM
11 Nov 24 i  i    i   i     i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
10 Nov 24 i  i    i   i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2WM
8 Nov 24 i  i    i   `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Ross Finlayson
6 Nov 24 i  i    `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Ross Finlayson
21 Nov 24 i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers33Mikko
12 Dec 24 `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM

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