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 : 05. Apr 2025, 21:51:32
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vss54k$36r00$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
User-Agent : Mozilla Thunderbird
On 05.04.2025 21:08, FromTheRafters wrote:
WM was thinking very hard :
On 04.04.2025 23:12, FromTheRafters wrote:
WM wrote on 4/4/2025 :
>
You are caught in a world of stupidity. Set theorists have damaged the honour of human intellect even more than Pope Pius XII.
>
When an element is added to a set, then this set is no longer the same but different because the number of its members is different.
>
How do you know that they are not 'the same'?
>
A set containing element x is not the same as a set not containing element x.
 Then of course they are not "the same" but are they equivalent in size?
According to Cantor they are equivalent or have same cardinality. But that is not a useful notion *because* sets with different number of members are called equivalent.
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
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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
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13 Mar 25    ii  +* Re: The non-existence of "dark numbers"401WM
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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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14 Mar 25    ii  iii  i i`* Re: The non-existence of "dark numbers"379WM
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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
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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
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