Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"]

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Sujet : Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"]
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 23. Mar 2025, 20:05:55
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vrpm2k$3002f$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
User-Agent : Mozilla Thunderbird
On 22.03.2025 15:58, Moebius wrote:
Am 22.03.2025 um 15:44 schrieb Moebius:
Am 22.03.2025 um 15:04 schrieb Alan Mackenzie:
WM <wolfgang.mueckenheim@tha.de> wrote:
>
It leaves the cardinality unchanged because this notion is tantamount
to potential infinity.
>
You're stuck in the 1880s.
>
Nope. Actually, his claim ist absurd nonsense. Es handelt sich bei WM um einen aufmerksamkeitsheischenden, geisteskranker Spinner.
 Hint: (a) Sets have /cardinality/. (b) There are no "potentially infinity" sets. Either a set is infinite or not (i.e. finite).
That is a self-contradiction. Cardinality concerns only the potentially infinite subset of an actually infinite set. Bijections of infinite sets would have to cover all elements with no remainder.
Da wir uns aber durch unsre Arbeiten der breiten Heerstraße des Transfiniten versichert, sie wohl fundiert und sorgsam gepflastert haben, so öffnen wir sie dem Verkehr und stellen sie als eiserne Grundlage, nutzbar allen Freunden des potentialen Unendlichen, im besonderen aber der wanderlustigen Herbartschen "Grenze" bereitwilligst zur Verfügung; gern und ruhig überlassen wir die rastlose der Eintönigkeit ihres durchaus nicht beneidenswerten Geschicks; wandle sie nur immer weiter, es wird ihr von nun an nie mehr der Boden unter den Füßen schwinden. Glück auf die Reise!
Regards, WM

Date Sujet#  Auteur
12 Mar 25 * The existence of dark numbers proven by the thinned out harmonic series451WM
12 Mar 25 `* Re: The existence of dark numbers proven by the thinned out harmonic series450Alan Mackenzie
12 Mar 25  `* Re: The existence of dark numbers proven by the thinned out harmonic series449WM
12 Mar 25   `* The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]448Alan Mackenzie
12 Mar 25    +* Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]444WM
12 Mar 25    i+* Re: The non-existence of "dark numbers"414Alan Mackenzie
12 Mar 25    ii`* Re: The non-existence of "dark numbers"413WM
12 Mar 25    ii `* Re: The non-existence of "dark numbers"412Alan Mackenzie
12 Mar 25    ii  +* Re: The non-existence of "dark numbers"6Moebius
13 Mar 25    ii  i+- Re: The non-existence of "dark numbers"1WM
13 Mar 25    ii  i`* Re: The non-existence of "dark numbers"4Alan Mackenzie
13 Mar 25    ii  i `* Re: The non-existence of "dark numbers"3Moebius
13 Mar 25    ii  i  `* Re: The non-existence of "dark numbers"2WM
13 Mar 25    ii  i   `- Re: The non-existence of "dark numbers"1joes
13 Mar 25    ii  +* Re: The non-existence of "dark numbers"401WM
13 Mar 25    ii  i+* Re: The non-existence of "dark numbers"399Alan Mackenzie
13 Mar 25    ii  ii+* Re: The non-existence of "dark numbers"397WM
13 Mar 25    ii  iii+* Re: The non-existence of "dark numbers"3joes
13 Mar 25    ii  iiii`* Re: The non-existence of "dark numbers"2WM
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13 Mar 25    ii  iii`* Re: The non-existence of "dark numbers"393Alan Mackenzie
14 Mar 25    ii  iii `* Re: The non-existence of "dark numbers"392WM
14 Mar 25    ii  iii  +* Re: The non-existence of "dark numbers"7FromTheRafters
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15 Mar 25    ii  iii  i   `* Re: The non-existence of "dark numbers"3FromTheRafters
15 Mar 25    ii  iii  i    +- Re: The non-existence of "dark numbers" (thread too long, nothing in it)1Ross Finlayson
15 Mar 25    ii  iii  i    `- Re: The non-existence of "dark numbers"1WM
14 Mar 25    ii  iii  +* Re: The non-existence of "dark numbers"383Alan Mackenzie
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14 Mar 25    ii  iii  i +* Re: The non-existence of "dark numbers"380Alan Mackenzie
14 Mar 25    ii  iii  i i`* Re: The non-existence of "dark numbers"379WM
15 Mar 25    ii  iii  i i +* Re: The non-existence of "dark numbers"371Alan Mackenzie
15 Mar 25    ii  iii  i i i`* Re: The non-existence of "dark numbers"370WM
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15 Mar 25    ii  iii  i i i i`* Re: The non-existence of "dark numbers"3WM
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15 Mar 25    ii  iii  i i i i  `- Re: The non-existence of "dark numbers"1WM
15 Mar 25    ii  iii  i i i +* Re: The non-existence of "dark numbers"362Alan Mackenzie
15 Mar 25    ii  iii  i i i i`* Re: The non-existence of "dark numbers"361WM
16 Mar 25    ii  iii  i i i i +* Re: The non-existence of "dark numbers"356Alan Mackenzie
16 Mar 25    ii  iii  i i i i i`* Re: The non-existence of "dark numbers"355WM
16 Mar 25    ii  iii  i i i i i +* Re: The non-existence of "dark numbers"268Jim Burns
16 Mar 25    ii  iii  i i i i i i`* Re: The non-existence of "dark numbers"267WM
16 Mar 25    ii  iii  i i i i i i `* Re: The non-existence of "dark numbers"266Jim Burns
16 Mar 25    ii  iii  i i i i i i  `* Re: The non-existence of "dark numbers"265WM
16 Mar 25    ii  iii  i i i i i i   `* Re: The non-existence of "dark numbers"264Jim Burns
16 Mar 25    ii  iii  i i i i i i    `* Re: The non-existence of "dark numbers"263WM
17 Mar 25    ii  iii  i i i i i i     `* Re: The non-existence of "dark numbers"262Jim Burns
17 Mar 25    ii  iii  i i i i i i      `* Re: The non-existence of "dark numbers"261WM
17 Mar 25    ii  iii  i i i i i i       `* Re: The non-existence of "dark numbers"260Jim Burns
17 Mar 25    ii  iii  i i i i i i        `* Re: The non-existence of "dark numbers"259WM
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18 Mar 25    ii  iii  i i i i i i          `* Re: The non-existence of "dark numbers"257WM
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19 Mar 25    ii  iii  i i i i i i              `* Re: The non-existence of "dark numbers"253WM
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20 Mar 25    ii  iii  i i i i i i                `* Re: The non-existence of "dark numbers"251WM
20 Mar 25    ii  iii  i i i i i i                 `* Re: The non-existence of "dark numbers"250Jim Burns
20 Mar 25    ii  iii  i i i i i i                  `* Re: The non-existence of "dark numbers"249WM
20 Mar 25    ii  iii  i i i i i i                   `* Re: The non-existence of "dark numbers"248Jim Burns
21 Mar 25    ii  iii  i i i i i i                    `* Re: The non-existence of "dark numbers"247WM
21 Mar 25    ii  iii  i i i i i i                     `* Re: The non-existence of "dark numbers"246Jim Burns
21 Mar 25    ii  iii  i i i i i i                      `* Re: The non-existence of "dark numbers"245WM
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25 Mar 25    ii  iii  i i i i i i                       iii ii    i i  +* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)3Jim Burns
25 Mar 25    ii  iii  i i i i i i                       iii ii    i i  i`* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)2Ross Finlayson
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25 Mar 25    ii  iii  i i i i i i                       iii ii    i i  `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)5Jim Burns
25 Mar 25    ii  iii  i i i i i i                       iii ii    i i   `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)4Ross Finlayson
25 Mar 25    ii  iii  i i i i i i                       iii ii    i i    `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)3Jim Burns
25 Mar 25    ii  iii  i i i i i i                       iii ii    i i     `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)2Ross Finlayson
25 Mar 25    ii  iii  i i i i i i                       iii ii    i i      `- Re: The reality of sets, on a scale of 1 to 10 (theory of theories)1Jim Burns
26 Mar 25    ii  iii  i i i i i i                       iii ii    i `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)6Chris M. Thomasson
27 Mar 25    ii  iii  i i i i i i                       iii ii    i  `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)5Jim Burns
27 Mar 25    ii  iii  i i i i i i                       iii ii    i   `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)4FromTheRafters
27 Mar 25    ii  iii  i i i i i i                       iii ii    i    +- Re: The reality of sets, on a scale of 1 to 10 (theory of theories)1Jim Burns
27 Mar 25    ii  iii  i i i i i i                       iii ii    i    `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)2Ross Finlayson
27 Mar 25    ii  iii  i i i i i i                       iii ii    i     `- Re: The reality of sets, on a scale of 1 to 10 (theory of theories)1Ross Finlayson
24 Mar 25    ii  iii  i i i i i i                       iii ii    `* Re: The reality of sets, on a scale of 1 to 10 (theory of theories)3Jim Burns
22 Mar 25    ii  iii  i i i i i i                       iii i`- Re: The reality of sets, on a scale of 1 to 101WM
22 Mar 25    ii  iii  i i i i i i                       iii `- Re: The reality of sets, on a scale of 1 to 101WM
22 Mar 25    ii  iii  i i i i i i                       ii`* Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"]2WM
22 Mar 25    ii  iii  i i i i i i                       i`* Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"]142WM
21 Mar 25    ii  iii  i i i i i i                       +* Re: The non-existence of "dark numbers"3FromTheRafters
22 Mar 25    ii  iii  i i i i i i                       `* Re: The non-existence of "dark numbers"58Jim Burns
16 Mar 25    ii  iii  i i i i i +* Re: The non-existence of "dark numbers"85Alan Mackenzie
16 Mar 25    ii  iii  i i i i i `- Re: The non-existence of "dark numbers"1joes
16 Mar 25    ii  iii  i i i i `* Re: The non-existence of "dark numbers"4joes
15 Mar 25    ii  iii  i i i `* Re: The non-existence of "dark numbers"3Chris M. Thomasson
15 Mar 25    ii  iii  i i `* Re: The non-existence of "dark numbers"7joes
14 Mar 25    ii  iii  i `- Re: The non-existence of "dark numbers"1joes
14 Mar 25    ii  iii  `- Re: The non-existence of "dark numbers"1joes
14 Mar 25    ii  ii`- Re: The non-existence of "dark numbers"1Chris M. Thomasson
13 Mar 25    ii  i`- Re: The non-existence of "dark numbers"1joes
13 Mar 25    ii  `* Re: The non-existence of "dark numbers"4Ben Bacarisse
12 Mar 25    i`* Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]29Jim Burns
12 Mar 25    +* Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]2FromTheRafters
12 Mar 25    `- Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series]1Jim Burns

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