Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

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Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic
Date : 10. Nov 2024, 11:54:02
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgq3ca$beif$1@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 10.11.2024 11:20, Mikko wrote:
On 2024-11-09 21:30:47 +0000, WM said:
 
On 09.11.2024 15:03, Mikko wrote:
On 2024-11-08 16:30:23 +0000, WM said:
>
>
If Cantors enumeration of the rationals is complete, then all rationals
are in the sequence 1/1, 1/2, 2/1, 1/3, 2/2, 3/1, 1/4, 2/3, 3/2, 4/1, 1/5, 2/4, 3/3, 4/2, 5/1, 1/6, 2/5, 3/4, 4/3, 5/2, 6/1,  ... and none is outside.
>
All positive rationals quite obviously are in the sequence. Non-positive
rationals are not.
>
Therefore also irrational numbers cannot be there.
>
That is equally obvious.
>
Of course this is wrong.
>
You may call it wrong but that's the way they are.
>
The measure of all intervals J(n) = [n - √2/10, n + √2/10] is smaller than 3.
 Maybe, maybe not, depending on what is all n.
It is, as usual, all natural numbers.

If all n is all reals then
the measure of their union is infinite.
But n is all reals as you could have found out yourself, by the measure < 3.
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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