Re: The reality of sets, on a scale of 1 to 10

Liste des GroupesRevenir à s math 
Sujet : Re: The reality of sets, on a scale of 1 to 10
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 02. Apr 2025, 14:58:05
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vsjfpe$1r7d0$2@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 27.03.2025 22:31, joes wrote:
Am Thu, 27 Mar 2025 20:31:16 +0100 schrieb WM:
Am 27.03.2025 um 15:59 schrieb joes:
Am Wed, 26 Mar 2025 21:28:52 +0100 schrieb WM:
On 26.03.2025 21:06, joes wrote:
Am Wed, 26 Mar 2025 20:36:40 +0100 schrieb WM:
>
The potential infinite is a variable finite. Cantor's actual
infinity is not variable but fixed. (Therefore Hilbert's hotel is
potential infinity.)
What we refer to as infinite isn't variable.
The number of guests/rooms in Hilbert's hotel is infinite but can
grow.
That is variable infinity.
The number of rooms is fixed,
One more guest requires one more room.
*Which is already there*. We are not building new rooms, we are
moving the guests.
That is only possible if it is possible, i.e., ifinfinity is potential never occupied completely. That contradicts the completeness of Cantor's bijections.
 
otherwise it weren't interesting.
It is interesting only insofar as it shows that adherents of set theory
are ready to believe every shit.
Do you believe Hilbert's Hotel cannot accomodate *any* new guests?
If it is actually infinite, then no. If it can accomodate every new guest, then it is never completely filled.
Regards, WM
 

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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
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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"55Jim 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
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
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