Re: Replacement of Cardinality

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Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 30. Aug 2024, 13:59:47
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Le 30/08/2024 à 12:13, Moebius a écrit :
Am 30.08.2024 um 09:21 schrieb joes:

Thus: The interval (0, x) contains finitely many unit fractions only
for infinitesimal x.
 Actually, it either contains NO unit fractions (if x = 0 or x is infinitesimal but > 0) or it contains infinitely many (ℵo) unit fractions.
That contradicts the fact that ℵo unit fractions occupy an interval that can be reduced.
 So no matter if x > 0 is infinitesimal or not: NUF(x) =/= 1.
Are there two unit fractions possible lessorequal than all unit fractions?
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
17 Aug 24     i+- Re: Replacement of Cardinality1Python
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
26 Aug 24     i ii   i iii i  i  ii+* Re: Replacement of Cardinality2Moebius
26 Aug 24     i ii   i iii i  i  iii`- Re: Replacement of Cardinality1Moebius
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
29 Aug 24     i ii   i iii i  i  ii i  `* Re: Replacement of Cardinality13WM
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
30 Aug 24     i ii   i iii i  i  ii i   i +- Re: Grey numbers (was: Replacement of Cardinality)1joes
30 Aug 24     i ii   i iii i  i  ii i   i `- Re: Replacement of Cardinality1Chris M. Thomasson
29 Aug 24     i ii   i iii i  i  ii i   +* Re: Replacement of Cardinality2Chris M. Thomasson
29 Aug 24     i ii   i iii i  i  ii i   i`- Re: Replacement of Cardinality1FromTheRafters
29 Aug 24     i ii   i iii i  i  ii i   +- Re: Replacement of Cardinality1Jim Burns
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
30 Aug 24     i ii   i iii i  i  ii i     `* Re: Replacement of Cardinality2Richard Damon
30 Aug 24     i ii   i iii i  i  ii i      `- Re: Replacement of Cardinality1Chris M. Thomasson
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 Cardinality1Richard Damon
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
28 Aug 24     i ii   i iii i  i  i   i`- Re: Replacement of Cardinality1FromTheRafters
28 Aug 24     i ii   i iii i  i  i   `- Re: Replacement of Cardinality1Moebius
26 Aug 24     i ii   i iii i  i  `* Re: Replacement of Cardinality2joes
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
21 Aug 24     i ii   i `* Re: Replacement of Cardinality2Chris M. Thomasson
21 Aug 24     i ii   `* Re: Replacement of Cardinality15Richard Damon
20 Aug 24     i i`* Re: Replacement of Cardinality11WM
22 Aug 24     i `* Re: Replacement of Cardinality2joes
17 Aug 24     `* Re: Replacement of Cardinality28Jim Burns

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