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 : noreply (at) *nospam* example.org (joes)
Groupes : sci.math
Date : 10. Jan 2025, 21:06:17
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <2c1e0afa5652b5f139abcda8822ac14ccc939f2b@i2pn2.org>
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Am Fri, 10 Jan 2025 20:17:37 +0100 schrieb WM:
On 10.01.2025 19:28, joes wrote:
Am Fri, 10 Jan 2025 18:21:43 +0100 schrieb WM:
 
I have no expectations about cardinality. I know that for every finite
initial segment the even numbers are about half of the natural
numbers.
This does not change anywhere. It is true up to every natural number.
You wrongly expect this to hold in the infinite.
No, I expect it is true for all natural numbers, none of which is
infinite.
But it is true for every natural (if you formalise it correctly)!
That doesn't make it true for N and G.

--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

Date Sujet#  Auteur
27 Nov 24 * Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1050WM
27 Nov 24 +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
27 Nov 24 i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
28 Nov 24 `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1047Jim Burns
28 Nov 24  +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1045WM
28 Nov 24  i+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1037joes
28 Nov 24  ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1036WM
28 Nov 24  ii +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4joes
28 Nov 24  ii i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3WM
28 Nov 24  ii i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
28 Nov 24  ii i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
28 Nov 24  ii `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1031FromTheRafters
28 Nov 24  ii  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1030WM
28 Nov 24  ii   +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
29 Nov 24  ii   i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
29 Nov 24  ii   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1027FromTheRafters
29 Nov 24  ii    +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1025WM
29 Nov 24  ii    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1024FromTheRafters
29 Nov 24  ii    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1023WM
29 Nov 24  ii    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1022FromTheRafters
30 Nov 24  ii    i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1021WM
30 Nov 24  ii    i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1020FromTheRafters
30 Nov 24  ii    i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1019WM
30 Nov 24  ii    i      +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)10FromTheRafters
30 Nov 24  ii    i      i+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7WM
30 Nov 24  ii    i      ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)6joes
30 Nov 24  ii    i      ii `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5WM
30 Nov 24  ii    i      ii  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4joes
30 Nov 24  ii    i      ii   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3WM
1 Dec 24  ii    i      ii    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
1 Dec 24  ii    i      ii     `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
30 Nov 24  ii    i      i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, infinite-middle)2Ross Finlayson
2 Dec 24  ii    i      i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, infinite-middle)1Chris M. Thomasson
2 Dec 24  ii    i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1008Chris M. Thomasson
2 Dec 24  ii    i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)90Moebius
3 Dec 24  ii    i       i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)89Chris M. Thomasson
3 Dec 24  ii    i       i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)84Moebius
3 Dec 24  ii    i       i i+- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
3 Dec 24  ii    i       i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)82Chris M. Thomasson
3 Dec 24  ii    i       i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)81Moebius
3 Dec 24  ii    i       i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)80Chris M. Thomasson
3 Dec 24  ii    i       i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)79Chris M. Thomasson
3 Dec 24  ii    i       i i    +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)17Moebius
3 Dec 24  ii    i       i i    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)16Chris M. Thomasson
3 Dec 24  ii    i       i i    i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3Chris M. Thomasson
3 Dec 24  ii    i       i i    i i+- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
3 Dec 24  ii    i       i i    i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
3 Dec 24  ii    i       i i    i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Moebius
3 Dec 24  ii    i       i i    i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
3 Dec 24  ii    i       i i    i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)9Chris M. Thomasson
3 Dec 24  ii    i       i i    i i+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7Chris M. Thomasson
3 Dec 24  ii    i       i i    i ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)6Chris M. Thomasson
3 Dec 24  ii    i       i i    i ii +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4Moebius
3 Dec 24  ii    i       i i    i ii i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3Moebius
3 Dec 24  ii    i       i i    i ii i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Chris M. Thomasson
3 Dec 24  ii    i       i i    i ii i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
3 Dec 24  ii    i       i i    i ii `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
3 Dec 24  ii    i       i i    i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
3 Dec 24  ii    i       i i    i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
3 Dec 24  ii    i       i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)61Ben Bacarisse
3 Dec 24  ii    i       i i     +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
3 Dec 24  ii    i       i i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)59Chris M. Thomasson
3 Dec 24  ii    i       i i      +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)55Moebius
3 Dec 24  ii    i       i i      i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)54Moebius
4 Dec 24  ii    i       i i      i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)52Chris M. Thomasson
4 Dec 24  ii    i       i i      i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)51Moebius
4 Dec 24  ii    i       i i      i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)50Moebius
4 Dec 24  ii    i       i i      i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)49FromTheRafters
4 Dec 24  ii    i       i i      i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)48Ben Bacarisse
4 Dec 24  ii    i       i i      i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)47Moebius
4 Dec 24  ii    i       i i      i i     +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1FromTheRafters
4 Dec 24  ii    i       i i      i i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)45Ben Bacarisse
4 Dec 24  ii    i       i i      i i      +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1FromTheRafters
4 Dec 24  ii    i       i i      i i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)43Chris M. Thomasson
4 Dec 24  ii    i       i i      i i       +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Ben Bacarisse
5 Dec 24  ii    i       i i      i i       `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)41WM
5 Dec 24  ii    i       i i      i i        +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)19joes
5 Dec 24  ii    i       i i      i i        i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)18WM
5 Dec 24  ii    i       i i      i i        i +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Richard Damon
5 Dec 24  ii    i       i i      i i        i +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)8joes
5 Dec 24  ii    i       i i      i i        i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7WM
6 Dec 24  ii    i       i i      i i        i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)6joes
7 Dec 24  ii    i       i i      i i        i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5WM
7 Dec 24  ii    i       i i      i i        i i   +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1joes
7 Dec 24  ii    i       i i      i i        i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3Richard Damon
7 Dec 24  ii    i       i i      i i        i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Chris M. Thomasson
7 Dec 24  ii    i       i i      i i        i i     `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Richard Damon
5 Dec 24  ii    i       i i      i i        i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)8FromTheRafters
5 Dec 24  ii    i       i i      i i        i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5WM
5 Dec 24  ii    i       i i      i i        i  i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4FromTheRafters
5 Dec 24  ii    i       i i      i i        i  i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3WM
5 Dec 24  ii    i       i i      i i        i  i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2FromTheRafters
6 Dec 24  ii    i       i i      i i        i  i   `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
6 Dec 24  ii    i       i i      i i        i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Chris M. Thomasson
6 Dec 24  ii    i       i i      i i        i   `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
5 Dec 24  ii    i       i i      i i        +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)20Richard Damon
5 Dec 24  ii    i       i i      i i        i+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)18WM
6 Dec 24  ii    i       i i      i i        ii+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)8Richard Damon
6 Dec 24  ii    i       i i      i i        iii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7WM
6 Dec 24  ii    i       i i      i i        iii +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5joes
6 Dec 24  ii    i       i i      i i        iii i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4WM
6 Dec 24  ii    i       i i      i i        iii `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Richard Damon
6 Dec 24  ii    i       i i      i i        ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)9Chris M. Thomasson
6 Dec 24  ii    i       i i      i i        i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
6 Dec 24  ii    i       i i      i i        `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
4 Dec 24  ii    i       i i      i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
4 Dec 24  ii    i       i i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3Ben Bacarisse
3 Dec 24  ii    i       i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4Jim Burns
2 Dec 24  ii    i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Moebius
2 Dec 24  ii    i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Moebius
2 Dec 24  ii    i       `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)913FromTheRafters
29 Nov 24  ii    `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Ross Finlayson
29 Nov 24  i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7Jim Burns
28 Nov 24  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Ross Finlayson

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