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 : 17. Dec 2024, 18:04:52
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <1964bcf08cd83dbd290d18c55a9aed592091c846@i2pn2.org>
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
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Tue, 17 Dec 2024 11:37:25 +0100 schrieb WM:
On 17.12.2024 11:07, FromTheRafters wrote:
WM wrote :
On 17.12.2024 00:52, Richard Damon wrote:
On 12/16/24 3:30 AM, WM wrote:
On 15.12.2024 21:21, joes wrote:
>
Therefore we use all [1, n].
Those are all finite.
All n are finite.
But N isn't, so the sets [1, n] aren't what the bijection is defined
on.
Every element is the last element of a FISON [1, n].
Why does your FISON look like a real interval?
Originally I had used unit intervals [n, n+1] of real intervals (0,
10n]. The argument remains the same.
But why real intervals?

--
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
15 Dec 24 * Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)44joes
15 Dec16:25 `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)43WM
15 Dec21:21  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)42joes
16 Dec09:30   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)41WM
16 Dec12:55    +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)13joes
16 Dec14:59    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)12WM
16 Dec16:40    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)11joes
16 Dec17:49    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)10WM
16 Dec18:25    i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)9joes
17 Dec10:05    i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)8WM
17 Dec13:34    i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7Richard Damon
17 Dec22:49    i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)6WM
18 Dec10:35    i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4joes
18 Dec20:07    i       i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3WM
18 Dec21:15    i       i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
19 Dec15:36    i       i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
18 Dec13:23    i       `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Richard Damon
17 Dec00:52    `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)27Richard Damon
17 Dec05:32     +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
17 Dec10:13     `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)25WM
17 Dec11:07      +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3FromTheRafters
17 Dec11:37      i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2WM
17 Dec18:04      i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1joes
17 Dec13:34      +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3Richard Damon
17 Dec22:51      i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2WM
18 Dec13:25      i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Richard Damon
17 Dec18:07      `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)18joes
17 Dec22:57       `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)17WM
18 Dec13:29        `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)16Richard Damon
18 Dec20:06         `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)15WM
18 Dec21:15          +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2joes
19 Dec15:38          i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM
19 Dec04:29          `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)12Richard Damon
19 Dec15:58           `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)11WM
19 Dec22:25            +- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Chris M. Thomasson
20 Dec03:52            `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)9Richard Damon
20 Dec11:13             `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)8WM
20 Dec12:55              `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)7Chris M. Thomasson
20 Dec15:38               `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)6WM
20 Dec21:18                `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5Chris M. Thomasson
21 Dec04:37                 `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4Richard Damon
21 Dec10:23                  +* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2Chris M. Thomasson
21 Dec10:36                  i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1Moebius
21 Dec18:46                  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1WM

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