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 : 09. Jul 2024, 23:35:47
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v6ke03$1hehi$4@dont-email.me>
References : 1 2 3 4
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Am 09.07.2024 um 21:08 schrieb Chris M. Thomasson:
Corrected:

Seems to boil down to:
 Is uncountable infinity the same "size", as any other uncountable infinity? Say reals vs. complex numbers...
Nope.
IR and C do have the same "size", since card(IR) = card(C).
But there are "larger infinities" than just card(IR) = card(C) = c. (There’s a whole hierarchy of them, in fact.)
For example, P(IR) (i.e. {X: X c IR}.
See: https://en.wikipedia.org/wiki/Aleph_number

Date Sujet#  Auteur
9 Jul 24 * More complex numbers than reals?381Chris 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
10 Jul 24 i  +- Re: More complex numbers than reals?1Moebius
10 Jul 24 i  `- Re: More complex numbers than reals?1Moebius
9 Jul 24 +* Re: More complex numbers than reals?272Ben Bacarisse
9 Jul 24 i`* Re: More complex numbers than reals?271WM
9 Jul 24 i +* Re: More complex numbers than reals?266Ben Bacarisse
9 Jul 24 i i+* Re: More complex numbers than reals?264Chris 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
10 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?253Ben 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?248Chris 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?246Ben Bacarisse
11 Jul 24 i ii   `* Re: More complex numbers than reals?245Chris 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?219Ben 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
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12 Jul 24 i ii     `* Re: More complex numbers than reals?206WM
13 Jul 24 i ii      +* Re: More complex numbers than reals?186Ben Bacarisse
13 Jul 24 i ii      i`* Re: More complex numbers than reals?185WM
14 Jul 24 i ii      i `* Re: More complex numbers than reals?184Ben Bacarisse
14 Jul 24 i ii      i  `* Re: More complex numbers than reals?183WM
14 Jul 24 i ii      i   +* Re: More complex numbers than reals?2Moebius
15 Jul 24 i ii      i   i`- Re: More complex numbers than reals?1Ben Bacarisse
15 Jul 24 i ii      i   `* Re: More complex numbers than reals?180Ben Bacarisse
15 Jul 24 i ii      i    `* Re: More complex numbers than reals?179WM
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15 Jul 24 i ii      i     i `* Re: More complex numbers than reals?118Python
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15 Jul 24 i ii      i     i   +* Re: More complex numbers than reals?5Moebius
16 Jul 24 i ii      i     i   i`* Re: More complex numbers than reals?4WM
16 Jul 24 i ii      i     i   i `* Re: More complex numbers than reals?3Moebius
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?111WM
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17 Jul 24 i ii      i     i      i`- Re: More complex numbers than reals?1WM
17 Jul 24 i ii      i     i      `* Re: More complex numbers than reals?105Jim Burns
17 Jul 24 i ii      i     i       `* Re: More complex numbers than reals?104WM
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18 Jul 24 i ii      i     i        `* Re: More complex numbers than reals?102Jim Burns
18 Jul 24 i ii      i     i         `* Re: More complex numbers than reals?101WM
18 Jul 24 i ii      i     i          `* Re: More complex numbers than reals?100Jim Burns
18 Jul 24 i ii      i     i           `* Re: More complex numbers than reals?99WM
18 Jul 24 i ii      i     i            `* Re: More complex numbers than reals?98Jim Burns
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14 Jul 24 i ii      `* Re: More complex numbers than reals?19joes
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