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 : moebius (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 03. Apr 2024, 00:14:38
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <uui3gv$3g1qs$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
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Am 02.04.2024 um 23:40 schrieb Jim Burns:
On 4/2/2024 4:52 PM, Moebius wrote:
Am 02.04.2024 um 19:51 schrieb Jim Burns:
 ℚᶠʳᵃᶜ
>
Very nice idea!
 Thank you.
 Of course, "i/j as fraction not rational"
is WM's idea.
Not really. There are (german) textbooks which treats "fractions" as ordered pairs (of natural numbers =/= 0) and the positive rationals as equivalence classes of these "fractions".
It's a little bit unlucy that the expression "n/m" may be used as a name for the fraction (i.e. (n,m)) as well as a name for the rational number.
(a) expressing fractions: 1/1 =/= 2/2
(b) expressiong rational numbers: 1/1 = 1/2.
(*sigh*)

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
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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
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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
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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
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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
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