Re: Contradiction of bijections as a measure for infinite sets

Liste des GroupesRevenir à s math 
Sujet : Re: Contradiction of bijections as a measure for infinite sets
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 25. Mar 2024, 22:45:58
Autres entêtes
Organisation : Nemoweb
Message-ID : <HmsGpmPW40xYWG72-E4dusbTlXE@jntp>
References : 1 2 3 4 5
User-Agent : Nemo/0.999a
Le 25/03/2024 à 12:25, Richard Damon a écrit :
On 3/25/24 7:10 AM, WM wrote:
 
This cannot be denied: A bijection, if really existing, proves that one of both sets has not one element more nor less than the other!
 Nope,
You deny the definition of what you use.

just that they have the "same size", since for infinite sets, one more or less is still the "same size", even twice the number of elements can be the "same size", or the square of the number of elements is the "same size"
 That is just a property of infinite sets,
It is not a property of a bijection.
Regards, WM

Date Sujet#  Auteur
24 Mar 24 * V1414WM
24 Mar 24 +* Re: V20Chris M. Thomasson
24 Mar 24 i`* Re: V19WM
24 Mar 24 i `* Re: V18Chris M. Thomasson
24 Mar 24 i  `* Re: V17WM
24 Mar 24 i   +* Re: V15Chris M. Thomasson
25 Mar 24 i   i`* Re: V14WM
26 Mar 24 i   i +* Re: V11Chris M. Thomasson
26 Mar 24 i   i i`* Re: V10WM
26 Mar 24 i   i i +* Re: V6Chris M. Thomasson
27 Mar 24 i   i i i`* Re: V5WM
27 Mar 24 i   i i i `* Re: V4Chris M. Thomasson
28 Mar 24 i   i i i  `* Re: V3WM
28 Mar 24 i   i i i   `* Re: V2Chris M. Thomasson
28 Mar 24 i   i i i    `- Re: V1Chris M. Thomasson
26 Mar 24 i   i i +- Re: V1Chris M. Thomasson
26 Mar 24 i   i i `* Re: V2Chris M. Thomasson
26 Mar 24 i   i i  `- Re: V1Chris M. Thomasson
11 Jun 24 i   i `* Re: V2Chris M. Thomasson
11 Jun 24 i   i  `- Re: V1Moebius
24 Mar 24 i   `- Re: V1Chris M. Thomasson
24 Mar 24 +* Re: Contradiction of bijections as a measure for infinite sets1383WM
24 Mar 24 i+* Re: Contradiction of bijections as a measure for infinite sets1301Dieter Heidorn
25 Mar 24 ii`* Re: Contradiction of bijections as a measure for infinite sets1300WM
25 Mar 24 ii +* Re: Contradiction of bijections as a measure for infinite sets2Richard Damon
25 Mar 24 ii i`- Re: Contradiction of bijections as a measure for infinite sets1WM
25 Mar 24 ii `* Re: Contradiction of bijections as a measure for infinite sets1297Jim Burns
26 Mar 24 ii  `* Re: Contradiction of bijections as a measure for infinite sets1296WM
26 Mar 24 ii   `* Re: Contradiction of bijections as a measure for infinite sets1295Jim Burns
26 Mar 24 ii    +* Re: Contradiction of bijections as a measure for infinite sets1283Chris M. Thomasson
26 Mar 24 ii    i`* Re: Contradiction of bijections as a measure for infinite sets1282Jim Burns
27 Mar 24 ii    i `* Re: Contradiction of bijections as a measure for infinite sets1281WM
27 Mar 24 ii    i  +* Re: Contradiction of bijections as a measure for infinite sets1279Jim Burns
28 Mar 24 ii    i  i`* Re: Contradiction of bijections as a measure for infinite sets1278WM
28 Mar 24 ii    i  i +- Re: Contradiction of bijections as a measure for infinite sets1Chris M. Thomasson
29 Mar 24 ii    i  i `* Re: Contradiction of bijections as a measure for infinite sets1276Richard Damon
30 Mar 24 ii    i  i  `* Re: Contradiction of bijections as a measure for infinite sets1275WM
30 Mar 24 ii    i  i   `* Re: Contradiction of bijections as a measure for infinite sets1274Richard Damon
31 Mar 24 ii    i  i    `* Re: Contradiction of bijections as a measure for infinite sets1273WM
31 Mar 24 ii    i  i     +* Re: Contradiction of bijections as a measure for infinite sets1271Richard Damon
1 Apr 24 ii    i  i     i`* Re: Contradiction of bijections as a measure for infinite sets1270WM
1 Apr 24 ii    i  i     i +- Re: Contradiction of bijections as a measure for infinite sets1FromTheRafters
2 Apr 24 ii    i  i     i `* Re: Contradiction of bijections as a measure for infinite sets1268Richard Damon
2 Apr 24 ii    i  i     i  `* Re: Contradiction of bijections as a measure for infinite sets1267WM
2 Apr 24 ii    i  i     i   `* Re: Contradiction of bijections as a measure for infinite sets1266Jim Burns
2 Apr 24 ii    i  i     i    +* Re: Contradiction of bijections as a measure for infinite sets9Moebius
2 Apr 24 ii    i  i     i    i`* Re: Contradiction of bijections as a measure for infinite sets8Jim Burns
3 Apr 24 ii    i  i     i    i +- Re: Contradiction of bijections as a measure for infinite sets1Moebius
3 Apr 24 ii    i  i     i    i `* Re: Contradiction of bijections as a measure for infinite sets6Jim Burns
3 Apr 24 ii    i  i     i    i  `* Re: Contradiction of bijections as a measure for infinite sets5Jim Burns
4 Apr 24 ii    i  i     i    i   `* Re: Contradiction of bijections as a measure for infinite sets4Ross Finlayson
4 Apr 24 ii    i  i     i    i    `* Re: Contradiction of bijections as a measure for infinite sets3Jim Burns
5 Apr 24 ii    i  i     i    i     `* Re: Contradiction of bijections as a measure for infinite sets2Jim Burns
6 Apr 24 ii    i  i     i    i      `- Re: Contradiction of bijections as a measure for infinite sets1Jim Burns
3 Apr 24 ii    i  i     i    `* Re: Contradiction of bijections as a measure for infinite sets1256WM
3 Apr 24 ii    i  i     i     +* Re: Contradiction of bijections as a measure for infinite sets1223FromTheRafters
4 Apr 24 ii    i  i     i     i+- Re: Contradiction of bijections as a measure for infinite sets1Ross Finlayson
4 Apr 24 ii    i  i     i     i+* Re: Contradiction of bijections as a measure for infinite sets1220WM
4 Apr 24 ii    i  i     i     ii+* Re: Contradiction of bijections as a measure for infinite sets7Richard Damon
4 Apr 24 ii    i  i     i     iii`* Re: Contradiction of bijections as a measure for infinite sets6WM
4 Apr 24 ii    i  i     i     iii +* Re: Contradiction of bijections as a measure for infinite sets4Richard Damon
5 Apr 24 ii    i  i     i     iii i`* Re: Contradiction of bijections as a measure for infinite sets3WM
5 Apr 24 ii    i  i     i     iii i `* Re: Contradiction of bijections as a measure for infinite sets2Richard Damon
6 Apr 24 ii    i  i     i     iii i  `- Re: Contradiction of bijections as a measure for infinite sets1Ross Finlayson
4 Apr 24 ii    i  i     i     iii `- Re: Contradiction of bijections as a measure for infinite sets1Tom Bola
5 Apr 24 ii    i  i     i     ii`* Re: Contradiction of bijections as a measure for infinite sets1212FromTheRafters
6 Apr 24 ii    i  i     i     ii `* Re: Contradiction of bijections as a measure for infinite sets1211WM
6 Apr 24 ii    i  i     i     ii  `* Re: Contradiction of bijections as a measure for infinite sets1210Richard Damon
6 Apr 24 ii    i  i     i     ii   `* Re: Contradiction of bijections as a measure for infinite sets1209WM
6 Apr 24 ii    i  i     i     ii    `* Re: Contradiction of bijections as a measure for infinite sets1208Richard Damon
6 Apr 24 ii    i  i     i     ii     `* Re: Contradiction of bijections as a measure for infinite sets1207WM
6 Apr 24 ii    i  i     i     ii      `* Re: Contradiction of bijections as a measure for infinite sets1206Richard Damon
7 Apr 24 ii    i  i     i     ii       `* Re: Contradiction of bijections as a measure for infinite sets1205WM
7 Apr 24 ii    i  i     i     ii        `* Re: Contradiction of bijections as a measure for infinite sets1204Richard Damon
7 Apr 24 ii    i  i     i     ii         `* Re: Contradiction of bijections as a measure for infinite sets1203WM
7 Apr 24 ii    i  i     i     ii          `* how1202Richard Damon
8 Apr 24 ii    i  i     i     ii           `* Re: how1201WM
9 Apr 24 ii    i  i     i     ii            `* Re: how1200Richard Damon
9 Apr 24 ii    i  i     i     ii             +* Re: how1180WM
10 Apr 24 ii    i  i     i     ii             i+* Re: how2Chris M. Thomasson
10 Apr 24 ii    i  i     i     ii             ii`- Re: how1Chris M. Thomasson
10 Apr 24 ii    i  i     i     ii             i`* Re: how1177Richard Damon
10 Apr 24 ii    i  i     i     ii             i +* Re: how8WM
11 Apr 24 ii    i  i     i     ii             i i`* Re: how7Richard Damon
11 Apr 24 ii    i  i     i     ii             i i `* Re: how6WM
12 Apr 24 ii    i  i     i     ii             i i  `* Re: how5Richard Damon
12 Apr 24 ii    i  i     i     ii             i i   `* Re: how4WM
12 Apr 24 ii    i  i     i     ii             i i    `* Re: how3Richard Damon
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28 Mar 24 ii    i  `- Re: Contradiction of bijections as a measure for infinite sets1Richard Damon
26 Mar 24 ii    `* Re: Contradiction of bijections as a measure for infinite sets11WM
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