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

Liste des GroupesRevenir à s math 
Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 04. Nov 2024, 18:32:10
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgb0ep$11df5$4@dont-email.me>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
On 04.11.2024 15:37, Jim Burns wrote:
On 11/4/2024 6:26 AM, WM wrote:
On 03.11.2024 23:18, Jim Burns wrote:
On 11/3/2024 3:38 AM, WM wrote:
 
Further there are never
two irrational numbers
without a rational number between them.
 
(Even the existence of neighbouring intervals
is problematic.)
>
There aren't any neighboring intervals.
Any two intervals have intervals between them.
>
That is wrong in geometry.
The measure outside of the intervals is infinite.
Hence there exists at least one point outside.
This point has two nearest intervals
 This point,
which is on the boundary of two intervals,
is not two irrational points.
You are wrong. The intervals together cover a length of less than 3. The whole length is infinite. Therefore there is plenty of space for a point not in contact with any interval.
 Further there are never
two irrational numbers
without an interval between them.
Not in reality. But in the used model.
The rationals are dense but the intervals are not. This proves that the rationals are not countable.
Regards, WM
 

Date Sujet#  Auteur
4 Nov 24 * Re: Incompleteness of Cantor's enumeration of the rational numbers501Jim Burns
4 Nov 24 `* Re: Incompleteness of Cantor's enumeration of the rational numbers500WM
4 Nov 24  `* Re: Incompleteness of Cantor's enumeration of the rational numbers499Jim Burns
4 Nov 24   +* Re: Incompleteness of Cantor's enumeration of the rational numbers474WM
5 Nov 24   i`* Re: Incompleteness of Cantor's enumeration of the rational numbers473Jim Burns
5 Nov 24   i +* Re: Incompleteness of Cantor's enumeration of the rational numbers4Jim Burns
5 Nov 24   i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (re-Vitali-ized)3Ross Finlayson
5 Nov 24   i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (re-Vitali-ized)2Ross Finlayson
6 Nov 24   i i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers (re-Vitali-ized)1Chris M. Thomasson
6 Nov 24   i +* Re: Incompleteness of Cantor's enumeration of the rational numbers463WM
6 Nov 24   i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers462Jim Burns
6 Nov 24   i i +* Re: Incompleteness of Cantor's enumeration of the rational numbers459WM
6 Nov 24   i i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers458Jim Burns
6 Nov 24   i i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers457WM
6 Nov 24   i i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers456Jim Burns
7 Nov 24   i i i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers455WM
7 Nov 24   i i i    +* Re: Incompleteness of Cantor's enumeration of the rational numbers7Jim Burns
7 Nov 24   i i i    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers6WM
7 Nov 24   i i i    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers5Jim Burns
7 Nov 24   i i i    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers4WM
7 Nov 24   i i i    i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Jim Burns
7 Nov 24   i i i    i   i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
7 Nov 24   i i i    i   `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Chris M. Thomasson
7 Nov 24   i i i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers447Jim Burns
7 Nov 24   i i i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers446WM
8 Nov 24   i i i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers445Jim Burns
8 Nov 24   i i i       `* Re: Incompleteness of Cantor's enumeration of the rational numbers444WM
8 Nov 24   i i i        +* Re: Incompleteness of Cantor's enumeration of the rational numbers13Richard Damon
8 Nov 24   i i i        i`* Re: Incompleteness of Cantor's enumeration of the rational numbers12WM
8 Nov 24   i i i        i +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Richard Damon
9 Nov 24   i i i        i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
8 Nov 24   i i i        i `* Re: Incompleteness of Cantor's enumeration of the rational numbers9joes
8 Nov 24   i i i        i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers7Moebius
8 Nov 24   i i i        i  i`* Re: Incompleteness of Cantor's enumeration of the rational numbers6Moebius
9 Nov 24   i i i        i  i `* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
9 Nov 24   i i i        i  i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers4Chris M. Thomasson
10 Nov 24   i i i        i  i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers3Moebius
10 Nov 24   i i i        i  i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers2WM
10 Nov 24   i i i        i  i     `- Re: Incompleteness of Cantor's enumeration of the rational numbers1Chris M. Thomasson
9 Nov 24   i i i        i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
8 Nov 24   i i i        +* Re: Incompleteness of Cantor's enumeration of the rational numbers (doubling-spaces)2Ross Finlayson
8 Nov 24   i i i        i`- Re: Incompleteness of Cantor's enumeration of the rational numbers (doubling-spaces)1Ross Finlayson
8 Nov 24   i i i        `* Re: Incompleteness of Cantor's enumeration of the rational numbers428Jim Burns
9 Nov 24   i i i         `* Re: Incompleteness of Cantor's enumeration of the rational numbers427WM
10 Nov 24   i i i          `* Re: Incompleteness of Cantor's enumeration of the rational numbers426Jim Burns
10 Nov 24   i i i           `* Re: Incompleteness of Cantor's enumeration of the rational numbers425WM
10 Nov 24   i i i            +- Re: Incompleteness of Cantor's enumeration of the rational numbers (exponential)1Ross Finlayson
10 Nov 24   i i i            +* Re: Incompleteness of Cantor's enumeration of the rational numbers387Jim Burns
11 Nov 24   i i i            i`* Re: Incompleteness of Cantor's enumeration of the rational numbers386WM
11 Nov 24   i i i            i `* Re: Incompleteness of Cantor's enumeration of the rational numbers385Jim Burns
11 Nov 24   i i i            i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers384WM
11 Nov 24   i i i            i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers5FromTheRafters
12 Nov 24   i i i            i   i`* Re: Incompleteness of Cantor's enumeration of the rational numbers4WM
12 Nov 24   i i i            i   i +- Re: Incompleteness of Cantor's enumeration of the rational numbers1FromTheRafters
12 Nov 24   i i i            i   i `* Re: Incompleteness of Cantor's enumeration of the rational numbers2joes
12 Nov 24   i i i            i   i  `- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
12 Nov 24   i i i            i   +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Jim Burns
12 Nov 24   i i i            i   i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
12 Nov 24   i i i            i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers376Jim Burns
12 Nov 24   i i i            i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers375WM
12 Nov 24   i i i            i     `* Re: Incompleteness of Cantor's enumeration of the rational numbers374Jim Burns
12 Nov 24   i i i            i      `* Re: Incompleteness of Cantor's enumeration of the rational numbers373WM
13 Nov 24   i i i            i       +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Jim Burns
13 Nov 24   i i i            i       i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
13 Nov 24   i i i            i       `* Re: Incompleteness of Cantor's enumeration of the rational numbers370Jim Burns
13 Nov 24   i i i            i        `* Re: Incompleteness of Cantor's enumeration of the rational numbers369WM
13 Nov 24   i i i            i         `* Re: Incompleteness of Cantor's enumeration of the rational numbers368Jim Burns
13 Nov 24   i i i            i          `* Re: Incompleteness of Cantor's enumeration of the rational numbers367WM
14 Nov 24   i i i            i           `* Re: Incompleteness of Cantor's enumeration of the rational numbers366Jim Burns
14 Nov 24   i i i            i            +* Re: Incompleteness of Cantor's enumeration of the rational numbers6FromTheRafters
14 Nov 24   i i i            i            i`* Re: Incompleteness of Cantor's enumeration of the rational numbers5Jim Burns
14 Nov 24   i i i            i            i +* Re: Incompleteness of Cantor's enumeration of the rational numbers3Ross Finlayson
15 Nov 24   i i i            i            i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers (research)2Ross Finlayson
15 Nov 24   i i i            i            i i `- Re: Incompleteness of Cantor's enumeration of the rational numbers (research)1Ross Finlayson
14 Nov 24   i i i            i            i `- Re: Incompleteness of Cantor's enumeration of the rational numbers1FromTheRafters
14 Nov 24   i i i            i            `* Re: Incompleteness of Cantor's enumeration of the rational numbers359WM
14 Nov 24   i i i            i             +* Re: Incompleteness of Cantor's enumeration of the rational numbers289Jim Burns
15 Nov 24   i i i            i             i`* Re: Incompleteness of Cantor's enumeration of the rational numbers288WM
15 Nov 24   i i i            i             i +* Re: Incompleteness of Cantor's enumeration of the rational numbers2joes
15 Nov 24   i i i            i             i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
15 Nov 24   i i i            i             i `* Re: Incompleteness of Cantor's enumeration of the rational numbers285Jim Burns
15 Nov 24   i i i            i             i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers284WM
15 Nov 24   i i i            i             i   `* Re: Incompleteness of Cantor's enumeration of the rational numbers283Chris M. Thomasson
16 Nov 24   i i i            i             i    +- Re: Incompleteness of Cantor's enumeration of the rational numbers1Moebius
16 Nov 24   i i i            i             i    +* Re: Incompleteness of Cantor's enumeration of the rational numbers278Moebius
16 Nov 24   i i i            i             i    i+- Re: Incompleteness of Cantor's enumeration of the rational numbers1Moebius
16 Nov 24   i i i            i             i    i+* Re: Incompleteness of Cantor's enumeration of the rational numbers2Moebius
16 Nov 24   i i i            i             i    ii`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
16 Nov 24   i i i            i             i    i`* Re: Incompleteness of Cantor's enumeration of the rational numbers274Chris M. Thomasson
16 Nov 24   i i i            i             i    i `* Re: Incompleteness of Cantor's enumeration of the rational numbers273Chris M. Thomasson
16 Nov 24   i i i            i             i    i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Chris M. Thomasson
16 Nov 24   i i i            i             i    i  i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1Moebius
16 Nov 24   i i i            i             i    i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers13FromTheRafters
16 Nov 24   i i i            i             i    i  i`* Re: Incompleteness of Cantor's enumeration of the rational numbers12Chris M. Thomasson
16 Nov 24   i i i            i             i    i  i +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Moebius
16 Nov 24   i i i            i             i    i  i i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1Moebius
17 Nov 24   i i i            i             i    i  i +* Re: Incompleteness of Cantor's enumeration of the rational numbers7Moebius
17 Nov 24   i i i            i             i    i  i i`* Re: Incompleteness of Cantor's enumeration of the rational numbers6Chris M. Thomasson
17 Nov 24   i i i            i             i    i  i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers5Moebius
17 Nov 24   i i i            i             i    i  i i  +* Re: Incompleteness of Cantor's enumeration of the rational numbers2Moebius
17 Nov 24   i i i            i             i    i  i i  i`- Re: Incompleteness of Cantor's enumeration of the rational numbers1WM
17 Nov 24   i i i            i             i    i  i i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers2Chris M. Thomasson
17 Nov 24   i i i            i             i    i  i `* Re: Incompleteness of Cantor's enumeration of the rational numbers2FromTheRafters
16 Nov 24   i i i            i             i    i  `* Re: Incompleteness of Cantor's enumeration of the rational numbers257Moebius
16 Nov 24   i i i            i             i    +- Re: Incompleteness of Cantor's enumeration of the rational numbers1Moebius
16 Nov 24   i i i            i             i    `* Re: Incompleteness of Cantor's enumeration of the rational numbers2Moebius
14 Nov 24   i i i            i             `* Re: Incompleteness of Cantor's enumeration of the rational numbers69Jim Burns
10 Nov 24   i i i            `* Re: Incompleteness of Cantor's enumeration of the rational numbers36Chris M. Thomasson
6 Nov 24   i i `* Re: Incompleteness of Cantor's enumeration of the rational numbers (opinions)2Ross Finlayson
6 Nov 24   i `* Re: Incompleteness of Cantor's enumeration of the rational numbers5WM
4 Nov 24   `* Re: Incompleteness of Cantor's enumeration of the rational numbers24Chris M. Thomasson

Haut de la page

Les messages affichés proviennent d'usenet.

NewsPortal