Re: Replacement of Cardinality

Liste des GroupesRevenir à s math 
Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 29. Aug 2024, 14:35:55
Autres entêtes
Organisation : Nemoweb
Message-ID : <Rpu0RKeGMLYXY8hQTomQ_wWNFvY@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 28/08/2024 à 16:10, FromTheRafters a écrit :
on 8/28/2024, WM supposed :
Le 28/08/2024 à 14:47, Moebius a écrit :
Am 28.08.2024 um 06:20 schrieb joes:
>
„Sufficient” meaning „not infinitesimal”.
 Right. After all, each and every _real_ number x > 0 is "sufficiently large".
>
Wrong. "Sufficient" means that ℵo non-empty finite gaps between unit fractions fit into the interval. One gap already is larger some x > 0. Why do you think that ℵo non-empty finite gaps are smaller than every x > 0?
 Because of the way the reals are constructed.
Not a reason - and wrong.
Regards, WM

Date Sujet#  Auteur
15 Aug 24 * Re: Replacement of Cardinality371WM
15 Aug 24 `* Re: Replacement of Cardinality370Jim Burns
16 Aug 24  `* Re: Replacement of Cardinality369WM
16 Aug 24   +* Re: Replacement of Cardinality26joes
16 Aug 24   i`* Re: Replacement of Cardinality25WM
16 Aug 24   i +* Re: Replacement of Cardinality7Jim Burns
17 Aug 24   i i`* Re: Replacement of Cardinality6WM
17 Aug 24   i i `* Re: Replacement of Cardinality5Richard Damon
17 Aug 24   i i  +* Re: Replacement of Cardinality3FromTheRafters
17 Aug 24   i i  i+- Re: Replacement of Cardinality1Richard Damon
17 Aug 24   i i  i`- Re: Replacement of Cardinality1Chris M. Thomasson
17 Aug 24   i i  `- Re: Replacement of Cardinality1Chris M. Thomasson
16 Aug 24   i +* Re: Replacement of Cardinality16joes
17 Aug 24   i i`* Re: Replacement of Cardinality15WM
18 Aug 24   i i `* Re: Replacement of Cardinality14joes
18 Aug 24   i i  +* Re: Replacement of Cardinality12Chris M. Thomasson
18 Aug 24   i i  i`* Re: Replacement of Cardinality11Ross Finlayson
19 Aug 24   i i  i +* Re: Replacement of Cardinality (selective memory)2Ross Finlayson
30 Dec 24   i i  i i`- Re: Replacement of Cardinality (selective memory)1Ross Finlayson
19 Aug 24   i i  i `* Re: Replacement of Cardinality8Chris M. Thomasson
19 Aug 24   i i  i  +- Re: Replacement of Cardinality1Chris M. Thomasson
19 Aug 24   i i  i  `* Re: Replacement of Cardinality6FromTheRafters
20 Aug 24   i i  i   `* Re: Replacement of Cardinality5Chris M. Thomasson
20 Aug 24   i i  i    +- Re: Replacement of Cardinality1Chris M. Thomasson
21 Aug 24   i i  i    `* Re: Replacement of Cardinality3Moebius
23 Aug 24   i i  i     `* Re: Replacement of Cardinality2Chris M. Thomasson
23 Aug 24   i i  i      `- Re: Replacement of Cardinality1Moebius
19 Aug 24   i i  `- Re: Replacement of Cardinality1WM
16 Aug 24   i `- Re: Replacement of Cardinality1Chris M. Thomasson
16 Aug 24   `* Re: Replacement of Cardinality342Jim Burns
17 Aug 24    `* Re: Replacement of Cardinality341WM
17 Aug 24     +* Re: Replacement of Cardinality312Richard Damon
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19 Aug 24     i`* Re: Replacement of Cardinality310WM
20 Aug 24     i +* Re: Replacement of Cardinality307Richard Damon
20 Aug 24     i i+* Re: Replacement of Cardinality295FromTheRafters
20 Aug 24     i ii`* Re: Replacement of Cardinality294WM
20 Aug 24     i ii `* Re: Replacement of Cardinality293FromTheRafters
20 Aug 24     i ii  +- Re: Replacement of Cardinality1Chris M. Thomasson
21 Aug 24     i ii  `* Re: Replacement of Cardinality291WM
21 Aug 24     i ii   +* Re: Replacement of Cardinality275FromTheRafters
21 Aug 24     i ii   i`* Re: Replacement of Cardinality274WM
21 Aug 24     i ii   i +* Re: Replacement of Cardinality132joes
21 Aug 24     i ii   i i+* Re: Replacement of Cardinality84Moebius
21 Aug 24     i ii   i ii+* Re: Replacement of Cardinality82WM
21 Aug 24     i ii   i iii+* Re: Replacement of Cardinality4FromTheRafters
22 Aug 24     i ii   i iiii`* Re: Replacement of Cardinality3WM
22 Aug 24     i ii   i iiii +- Re: Replacement of Cardinality1joes
22 Aug 24     i ii   i iiii `- Re: Replacement of Cardinality1FromTheRafters
21 Aug 24     i ii   i iii`* Re: Replacement of Cardinality77joes
21 Aug 24     i ii   i iii +* Re: Replacement of Cardinality58Moebius
22 Aug 24     i ii   i iii i`* Re: Replacement of Cardinality57WM
22 Aug 24     i ii   i iii i +- Re: Replacement of Cardinality1joes
23 Aug 24     i ii   i iii i `* Re: Replacement of Cardinality55Jim Burns
24 Aug 24     i ii   i iii i  +* Re: Replacement of Cardinality7Moebius
24 Aug 24     i ii   i iii i  i+- Re: Replacement of Cardinality1Moebius
24 Aug 24     i ii   i iii i  i`* Re: Replacement of Cardinality5Jim Burns
24 Aug 24     i ii   i iii i  i +- Re: Replacement of Cardinality (roots of zero, reciprocals of the multiplicative annihilator)1Ross Finlayson
25 Aug 24     i ii   i iii i  i `* Re: Replacement of Cardinality3Moebius
26 Aug 24     i ii   i iii i  i  `* Re: Replacement of Cardinality2Moebius
26 Aug 24     i ii   i iii i  i   `- Re: Replacement of Cardinality1Moebius
24 Aug 24     i ii   i iii i  +* Re: Replacement of Cardinality42WM
25 Aug 24     i ii   i iii i  i`* Re: Replacement of Cardinality41Jim Burns
25 Aug 24     i ii   i iii i  i `* Re: Replacement of Cardinality40WM
25 Aug 24     i ii   i iii i  i  +* Re: Replacement of Cardinality37Jim Burns
26 Aug 24     i ii   i iii i  i  i+* Re: Replacement of Cardinality25Moebius
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27 Aug 24     i ii   i iii i  i  ii`* Re: Replacement of Cardinality22WM
27 Aug 24     i ii   i iii i  i  ii +* Re: Replacement of Cardinality18Chris M. Thomasson
27 Aug 24     i ii   i iii i  i  ii i+* Re: Replacement of Cardinality2Moebius
27 Aug 24     i ii   i iii i  i  ii ii`- Re: Replacement of Cardinality1Moebius
28 Aug 24     i ii   i iii i  i  ii i`* Re: Replacement of Cardinality15WM
28 Aug 24     i ii   i iii i  i  ii i `* Re: Replacement of Cardinality14FromTheRafters
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29 Aug 24     i ii   i iii i  i  ii i   +* Re: Replacement of Cardinality5FromTheRafters
29 Aug 24     i ii   i iii i  i  ii i   i+- Re: Replacement of Cardinality1Chris M. Thomasson
30 Aug 24     i ii   i iii i  i  ii i   i`* Re: Replacement of Cardinality3WM
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30 Aug 24     i ii   i iii i  i  ii i   `* Re: Replacement of Cardinality4joes
30 Aug 24     i ii   i iii i  i  ii i    `* Re: Replacement of Cardinality3WM
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28 Aug 24     i ii   i iii i  i  ii +- Re: Replacement of Cardinality1Richard Damon
28 Aug 24     i ii   i iii i  i  ii `* Re: Replacement of Cardinality2joes
28 Aug 24     i ii   i iii i  i  ii  `- Re: Replacement of Cardinality1Moebius
27 Aug 24     i ii   i iii i  i  i`* Re: Replacement of Cardinality11WM
28 Aug 24     i ii   i iii i  i  i +* Re: Replacement of Cardinality4FromTheRafters
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28 Aug 24     i ii   i iii i  i  i `* Re: Replacement of Cardinality5joes
28 Aug 24     i ii   i iii i  i  i  `* Re: Replacement of Cardinality4Moebius
28 Aug 24     i ii   i iii i  i  i   +* Re: Replacement of Cardinality2WM
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26 Aug 24     i ii   i iii i  `* Re: Replacement of Cardinality5Moebius
22 Aug 24     i ii   i iii `* Re: Replacement of Cardinality18WM
21 Aug 24     i ii   i ii`- Re: Replacement of Cardinality1Chris M. Thomasson
21 Aug 24     i ii   i i`* Re: Replacement of Cardinality47WM
21 Aug 24     i ii   i +* Re: Replacement of Cardinality139FromTheRafters
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21 Aug 24     i ii   `* Re: Replacement of Cardinality15Richard Damon
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22 Aug 24     i `* Re: Replacement of Cardinality2joes
17 Aug 24     `* Re: Replacement of Cardinality28Jim Burns

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