Re: More complex numbers than reals?

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Sujet : Re: More complex numbers than reals?
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 11. Jul 2024, 01:24:29
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v6n8nt$2436h$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9
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Am 11.07.2024 um 02:16 schrieb Chris M. Thomasson:

{a, b, c} vs { 3, 4, 5 }
 Both have the same number of elements, [...]
HOW do you know that? Please define (for any sets A, B):
     A and B /have the same number of elements/ iff ___________________ .
(i.e. fill out the blanks). :-)
Hint: That's what Ben Bacarisse is asking for.
Sure, it's "obvious" for us. But how would you define "have the same number of elements" (in mathematical terms) such that it can be DEDUCED (!) für certain sets A and B?
________________________________________
Ok, I'm slighty vicious now... :-)
If a = b = c, {a, b, c} still has "the same number of elements" as {3, 4, 5 }? :-P

Date Sujet#  Auteur
9 Jul 24 * More complex numbers than reals?383Chris M. Thomasson
9 Jul 24 +* Re: More complex numbers than reals?7FromTheRafters
9 Jul 24 i`* Re: More complex numbers than reals?6FromTheRafters
9 Jul 24 i +- Re: More complex numbers than reals?1Alan Mackenzie
9 Jul 24 i `* Re: More complex numbers than reals?4Chris M. Thomasson
9 Jul 24 i  +- Re: More complex numbers than reals?1Chris M. Thomasson
9 Jul 24 i  +- Re: More complex numbers than reals?1Moebius
9 Jul 24 i  `- Re: More complex numbers than reals?1Moebius
9 Jul 24 +* Re: More complex numbers than reals?274Ben Bacarisse
9 Jul 24 i`* Re: More complex numbers than reals?273WM
9 Jul 24 i +* Re: More complex numbers than reals?268Ben Bacarisse
9 Jul 24 i i+* Re: More complex numbers than reals?266Chris M. Thomasson
9 Jul 24 i ii+* Re: More complex numbers than reals?2Chris M. Thomasson
9 Jul 24 i iii`- Re: More complex numbers than reals?1Chris M. Thomasson
9 Jul 24 i ii+* Re: More complex numbers than reals?8FromTheRafters
11 Jul 24 i iii`* Re: More complex numbers than reals?7Chris M. Thomasson
11 Jul 24 i iii +* Re: More complex numbers than reals?2Ben Bacarisse
11 Jul 24 i iii i`- Re: More complex numbers than reals?1Chris M. Thomasson
11 Jul 24 i iii `* Re: More complex numbers than reals?4Moebius
11 Jul 24 i iii  `* Re: More complex numbers than reals?3Chris M. Thomasson
11 Jul 24 i iii   `* Re: More complex numbers than reals?2Moebius
20 Jul 24 i iii    `- Re: More complex numbers than reals?1Chris M. Thomasson
10 Jul 24 i ii`* Re: More complex numbers than reals?255Ben Bacarisse
10 Jul 24 i ii +* Re: More complex numbers than reals?4WM
10 Jul 24 i ii i+- Re: More complex numbers than reals?1Chris M. Thomasson
11 Jul 24 i ii i`* Re: More complex numbers than reals?2Ben Bacarisse
11 Jul 24 i ii i `- Re: More complex numbers than reals?1Moebius
10 Jul 24 i ii `* Re: More complex numbers than reals?250Chris M. Thomasson
10 Jul 24 i ii  +- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii  `* Re: More complex numbers than reals?248Ben Bacarisse
11 Jul 24 i ii   `* Re: More complex numbers than reals?247Chris M. Thomasson
11 Jul 24 i ii    +* Re: More complex numbers than reals?25Moebius
11 Jul 24 i ii    i`* Re: More complex numbers than reals?24Chris M. Thomasson
11 Jul 24 i ii    i +* Re: More complex numbers than reals?4Chris M. Thomasson
11 Jul 24 i ii    i i+- Re: More complex numbers than reals?1FromTheRafters
11 Jul 24 i ii    i i`* Re: More complex numbers than reals?2Moebius
11 Jul 24 i ii    i i `- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii    i `* Re: More complex numbers than reals?19Moebius
11 Jul 24 i ii    i  +* Re: More complex numbers than reals?4Chris M. Thomasson
11 Jul 24 i ii    i  i+- Re: More complex numbers than reals?1FromTheRafters
11 Jul 24 i ii    i  i`* Re: More complex numbers than reals?2Moebius
11 Jul 24 i ii    i  i `- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii    i  +* Re: More complex numbers than reals?12Ben Bacarisse
11 Jul 24 i ii    i  i+* Re: More complex numbers than reals?6Moebius
11 Jul 24 i ii    i  ii+- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii    i  ii`* Re: More complex numbers than reals?4Ben Bacarisse
11 Jul 24 i ii    i  ii `* Re: More complex numbers than reals?3Moebius
11 Jul 24 i ii    i  ii  +- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii    i  ii  `- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii    i  i+* Re: More complex numbers than reals?4FromTheRafters
11 Jul 24 i ii    i  ii`* Re: More complex numbers than reals?3Moebius
11 Jul 24 i ii    i  ii `* Re: More complex numbers than reals?2FromTheRafters
11 Jul 24 i ii    i  ii  `- Re: More complex numbers than reals?1Moebius
12 Jul 24 i ii    i  i`- Re: More complex numbers than reals?1WM
11 Jul 24 i ii    i  `* Re: More complex numbers than reals?2Moebius
11 Jul 24 i ii    i   `- Re: More complex numbers than reals?1Chris M. Thomasson
11 Jul 24 i ii    `* Re: More complex numbers than reals?221Ben Bacarisse
11 Jul 24 i ii     +* Re: More complex numbers than reals?10Chris M. Thomasson
11 Jul 24 i ii     i+* Re: More complex numbers than reals?7Moebius
11 Jul 24 i ii     ii`* Re: More complex numbers than reals?6Moebius
11 Jul 24 i ii     ii +* Re: More complex numbers than reals?2Moebius
11 Jul 24 i ii     ii i`- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii     ii `* Re: More complex numbers than reals?3Chris M. Thomasson
11 Jul 24 i ii     ii  `* Re: More complex numbers than reals?2Moebius
14 Jul 24 i ii     ii   `- Re: More complex numbers than reals?1Chris M. Thomasson
11 Jul 24 i ii     i`* Re: More complex numbers than reals?2Ben Bacarisse
11 Jul 24 i ii     i `- Re: More complex numbers than reals?1Chris M. Thomasson
11 Jul 24 i ii     +- Re: More complex numbers than reals?1Moebius
11 Jul 24 i ii     +- Re: More complex numbers than reals? (reals)1Ross Finlayson
12 Jul 24 i ii     `* Re: More complex numbers than reals?208WM
13 Jul 24 i ii      +* Re: More complex numbers than reals?188Ben Bacarisse
13 Jul 24 i ii      i`* Re: More complex numbers than reals?187WM
14 Jul 24 i ii      i `* Re: More complex numbers than reals?186Ben Bacarisse
14 Jul 24 i ii      i  `* Re: More complex numbers than reals?185WM
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14 Jul 24 i ii      i   i`- Re: More complex numbers than reals?1Ben Bacarisse
14 Jul 24 i ii      i   `* Re: More complex numbers than reals?182Ben Bacarisse
15 Jul 24 i ii      i    `* Re: More complex numbers than reals?181WM
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15 Jul 24 i ii      i     i`* Re: More complex numbers than reals?121WM
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16 Jul 24 i ii      i     i   i`* Re: More complex numbers than reals?4WM
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16 Jul 24 i ii      i     i   i  `* Re: More complex numbers than reals?2WM
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16 Jul 24 i ii      i     i   `* Re: More complex numbers than reals?113WM
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17 Jul 24 i ii      i     i       `* Re: More complex numbers than reals?106WM
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18 Jul 24 i ii      i     i          `* Re: More complex numbers than reals?102Jim Burns
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18 Jul 24 i ii      i     i            `* Re: More complex numbers than reals?100Jim Burns
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