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.math
Date : 07. Jan 2025, 20:03:50
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vljtqm$2bao4$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
User-Agent : Mozilla Thunderbird
On 07.01.2025 14:49, FromTheRafters wrote:
WM was thinking very hard :
On 07.01.2025 02:36, Ross Finlayson wrote:
On 01/06/2025 02:43 PM, Jim Burns wrote:
>
It would be great if you (WM) did NOT
find lemma 1 weird,
but it is what it is.
>
It is not weird. But your conclusions are weird.
>
The inductive set being covered by
initial segments is an _axiom_ of ZF.
>
And the existence of the set ℕ is also an axiom of ZF.
 Which axiom?
The axiom of infinite set. The elements of the infinite set have been designed after Dedekind as Zermelo, the creator of the axiom himself confesses. Its elements can be called cardinal numbers.
Regards, WM

Date Sujet#  Auteur
27 Nov 24 * Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1047WM
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)1044Jim Burns
28 Nov 24  +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1042WM
28 Nov 24  i+* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1034joes
28 Nov 24  ii`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1033WM
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)1028FromTheRafters
28 Nov 24  ii  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1027WM
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)1024FromTheRafters
29 Nov 24  ii    +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1022WM
29 Nov 24  ii    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1021FromTheRafters
29 Nov 24  ii    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1020WM
29 Nov 24  ii    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1019FromTheRafters
30 Nov 24  ii    i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1018WM
30 Nov 24  ii    i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1017FromTheRafters
30 Nov 24  ii    i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1016WM
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)1005Chris 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)910FromTheRafters
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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