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.mathDate : 02. Apr 2025, 15:31:33
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vsjho6$1r7d0$8@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 28.03.2025 11:39, joes wrote:
Am Fri, 28 Mar 2025 08:34:15 +0100 schrieb WM:
Am 28.03.2025 um 02:02 schrieb Moebius:
Am 27.03.2025 um 21:11 schrieb WM:
Am 26.03.2025 um 23:18 schrieb Moebius:
Am 26.03.2025 um 22:38 schrieb Alan Mackenzie:
WM <wolfgang.mueckenheim@tha.de> wrote:
>
The number of [...] rooms in Hilbert's hotel is infinite but [...]
grow[s].
No, it doesn't.
And the number of guests?
Is still the same: aleph_0.
It's just the "reality" (->Cantor) of guests that has grown by one. :-)
Set theory cannot describe reality. :-(
Mathematics is expected to be able to describe reality. :-)
Now you're just confusing the technical and colloquial meaning. You
should have stuck with "substance", but then you could simply talk
about supersets. That's what Cantor referred to off-handedly as
"Realität". No such term is used in mathematics, and still it does
describe the world remarkably well
It does not describe anything of reality.
- not that infinite sets
physically exist.
If they did, the mistakes of set theory would show up when set theory was applied to them.
Regards, WM
Date | Sujet | # | | Auteur |
12 Mar 25 | The existence of dark numbers proven by the thinned out harmonic series | 451 | | WM |
12 Mar 25 |  Re: The existence of dark numbers proven by the thinned out harmonic series | 450 | | Alan Mackenzie |
12 Mar 25 |   Re: The existence of dark numbers proven by the thinned out harmonic series | 449 | | WM |
12 Mar 25 |    The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] | 448 | | Alan Mackenzie |
12 Mar 25 |     Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] | 444 | | WM |
12 Mar 25 |      Re: The non-existence of "dark numbers" | 414 | | Alan Mackenzie |
12 Mar 25 |       Re: The non-existence of "dark numbers" | 413 | | WM |
12 Mar 25 |        Re: The non-existence of "dark numbers" | 412 | | Alan Mackenzie |
12 Mar 25 |         Re: The non-existence of "dark numbers" | 6 | | Moebius |
13 Mar 25 |          Re: The non-existence of "dark numbers" | 1 | | WM |
13 Mar 25 |          Re: The non-existence of "dark numbers" | 4 | | Alan Mackenzie |
13 Mar 25 |           Re: The non-existence of "dark numbers" | 3 | | Moebius |
13 Mar 25 |            Re: The non-existence of "dark numbers" | 2 | | WM |
13 Mar 25 |             Re: The non-existence of "dark numbers" | 1 | | joes |
13 Mar 25 |         Re: The non-existence of "dark numbers" | 401 | | WM |
13 Mar 25 |          Re: The non-existence of "dark numbers" | 399 | | Alan Mackenzie |
13 Mar 25 |           Re: The non-existence of "dark numbers" | 397 | | WM |
13 Mar 25 |            Re: The non-existence of "dark numbers" | 3 | | joes |
13 Mar 25 |             Re: The non-existence of "dark numbers" | 2 | | WM |
14 Mar 25 |              Re: The non-existence of "dark numbers" | 1 | | joes |
13 Mar 25 |            Re: The non-existence of "dark numbers" | 393 | | Alan Mackenzie |
14 Mar 25 |             Re: The non-existence of "dark numbers" | 392 | | WM |
14 Mar 25 |              Re: The non-existence of "dark numbers" | 7 | | FromTheRafters |
14 Mar 25 |               Re: The non-existence of "dark numbers" | 6 | | WM |
14 Mar 25 |                Re: The non-existence of "dark numbers" | 5 | | FromTheRafters |
14 Mar 25 |                 Re: The non-existence of "dark numbers" | 4 | | WM |
15 Mar 25 |                  Re: The non-existence of "dark numbers" | 3 | | FromTheRafters |
15 Mar 25 |                   Re: The non-existence of "dark numbers" (thread too long, nothing in it) | 1 | | Ross Finlayson |
15 Mar 25 |                   Re: The non-existence of "dark numbers" | 1 | | WM |
14 Mar 25 |              Re: The non-existence of "dark numbers" | 383 | | Alan Mackenzie |
14 Mar 25 |               Re: The non-existence of "dark numbers" | 382 | | WM |
14 Mar 25 |                Re: The non-existence of "dark numbers" | 380 | | Alan Mackenzie |
14 Mar 25 |                 Re: The non-existence of "dark numbers" | 379 | | WM |
15 Mar 25 |                  Re: The non-existence of "dark numbers" | 371 | | Alan Mackenzie |
15 Mar 25 |                   Re: The non-existence of "dark numbers" | 370 | | WM |
15 Mar 25 |                    Re: The non-existence of "dark numbers" | 4 | | joes |
15 Mar 25 |                     Re: The non-existence of "dark numbers" | 3 | | WM |
15 Mar 25 |                      Re: The non-existence of "dark numbers" | 2 | | joes |
15 Mar 25 |                       Re: The non-existence of "dark numbers" | 1 | | WM |
15 Mar 25 |                    Re: The non-existence of "dark numbers" | 362 | | Alan Mackenzie |
15 Mar 25 |                     Re: The non-existence of "dark numbers" | 361 | | WM |
16 Mar 25 |                      Re: The non-existence of "dark numbers" | 356 | | Alan Mackenzie |
16 Mar 25 |                       Re: The non-existence of "dark numbers" | 355 | | WM |
16 Mar 25 |                        Re: The non-existence of "dark numbers" | 268 | | Jim Burns |
16 Mar 25 |                         Re: The non-existence of "dark numbers" | 267 | | WM |
16 Mar 25 |                          Re: The non-existence of "dark numbers" | 266 | | Jim Burns |
16 Mar 25 |                           Re: The non-existence of "dark numbers" | 265 | | WM |
16 Mar 25 |                            Re: The non-existence of "dark numbers" | 264 | | Jim Burns |
16 Mar 25 |                             Re: The non-existence of "dark numbers" | 263 | | WM |
17 Mar 25 |                              Re: The non-existence of "dark numbers" | 262 | | Jim Burns |
17 Mar 25 |                               Re: The non-existence of "dark numbers" | 261 | | WM |
17 Mar 25 |                                Re: The non-existence of "dark numbers" | 260 | | Jim Burns |
17 Mar 25 |                                 Re: The non-existence of "dark numbers" | 259 | | WM |
17 Mar 25 |                                  Re: The non-existence of "dark numbers" | 258 | | Jim Burns |
18 Mar 25 |                                   Re: The non-existence of "dark numbers" | 257 | | WM |
18 Mar 25 |                                    Re: The non-existence of "dark numbers" | 256 | | Jim Burns |
18 Mar 25 |                                     Re: The non-existence of "dark numbers" | 255 | | WM |
19 Mar 25 |                                      Re: The non-existence of "dark numbers" | 254 | | Jim Burns |
19 Mar 25 |                                       Re: The non-existence of "dark numbers" | 253 | | WM |
19 Mar 25 |                                        Re: The non-existence of "dark numbers" | 252 | | Jim Burns |
20 Mar 25 |                                         Re: The non-existence of "dark numbers" | 251 | | WM |
20 Mar 25 |                                          Re: The non-existence of "dark numbers" | 250 | | Jim Burns |
20 Mar 25 |                                           Re: The non-existence of "dark numbers" | 249 | | WM |
20 Mar 25 |                                            Re: The non-existence of "dark numbers" | 248 | | Jim Burns |
21 Mar 25 |                                             Re: The non-existence of "dark numbers" | 247 | | WM |
21 Mar 25 |                                              Re: The non-existence of "dark numbers" | 246 | | Jim Burns |
21 Mar 25 |                                               Re: The non-existence of "dark numbers" | 245 | | WM |
21 Mar 25 |                                                The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 183 | | Alan Mackenzie |
21 Mar 25 |                                                 Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 40 | | Moebius |
21 Mar 25 |                                                  Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 37 | | Moebius |
21 Mar 25 |                                                   Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 2 | | Moebius |
21 Mar 25 |                                                    Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 1 | | Moebius |
21 Mar 25 |                                                   Re: The reality of sets, on a scale of 1 to 10 | 34 | | Alan Mackenzie |
21 Mar 25 |                                                    Re: The reality of sets, on a scale of 1 to 10 | 32 | | Moebius |
22 Mar 25 |                                                     Re: The reality of sets, on a scale of 1 to 10 | 1 | | Ross Finlayson |
22 Mar 25 |                                                     Re: The reality of sets, on a scale of 1 to 10 | 29 | | Ralf Bader |
22 Mar 25 |                                                      Re: The reality of sets, on a scale of 1 to 10 | 28 | | Moebius |
22 Mar 25 |                                                       Re: The reality of sets, on a scale of 1 to 10 | 2 | | Moebius |
22 Mar 25 |                                                        Re: The reality of sets, on a scale of 1 to 10 | 1 | | Moebius |
23 Mar 25 |                                                       Re: The reality of sets, on a scale of 1 to 10 | 25 | | Ross Finlayson |
23 Mar 25 |                                                        Re: The reality of sets, on a scale of 1 to 10 | 24 | | Jim Burns |
23 Mar 25 |                                                         Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 23 | | Ross Finlayson |
24 Mar 25 |                                                          Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 19 | | Chris M. Thomasson |
24 Mar 25 |                                                           Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 18 | | Jim Burns |
24 Mar 25 |                                                            Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 11 | | Ross Finlayson |
24 Mar 25 |                                                             Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 10 | | Jim Burns |
25 Mar 25 |                                                              Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 9 | | Ross Finlayson |
25 Mar 25 |                                                               Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 3 | | Jim Burns |
25 Mar 25 |                                                                Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 2 | | Ross Finlayson |
25 Mar 25 |                                                                 Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 1 | | Jim Burns |
25 Mar 25 |                                                               Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 5 | | Jim Burns |
25 Mar 25 |                                                                Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 4 | | Ross Finlayson |
25 Mar 25 |                                                                 Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 3 | | Jim Burns |
25 Mar 25 |                                                                  Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 2 | | Ross Finlayson |
25 Mar 25 |                                                                   Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 1 | | Jim Burns |
26 Mar 25 |                                                            Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 6 | | Chris M. Thomasson |
27 Mar 25 |                                                             Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 5 | | Jim Burns |
27 Mar 25 |                                                              Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 4 | | FromTheRafters |
27 Mar 25 |                                                               Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 1 | | Jim Burns |
27 Mar 25 |                                                               Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 2 | | Ross Finlayson |
27 Mar 25 |                                                                Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 1 | | Ross Finlayson |
24 Mar 25 |                                                          Re: The reality of sets, on a scale of 1 to 10 (theory of theories) | 3 | | Jim Burns |
22 Mar 25 |                                                     Re: The reality of sets, on a scale of 1 to 10 | 1 | | WM |
22 Mar 25 |                                                    Re: The reality of sets, on a scale of 1 to 10 | 1 | | WM |
22 Mar 25 |                                                  Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 2 | | WM |
22 Mar 25 |                                                 Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] | 142 | | WM |
21 Mar 25 |                                                Re: The non-existence of "dark numbers" | 3 | | FromTheRafters |
22 Mar 25 |                                                Re: The non-existence of "dark numbers" | 58 | | Jim Burns |
16 Mar 25 |                        Re: The non-existence of "dark numbers" | 85 | | Alan Mackenzie |
16 Mar 25 |                        Re: The non-existence of "dark numbers" | 1 | | joes |
16 Mar 25 |                      Re: The non-existence of "dark numbers" | 4 | | joes |
15 Mar 25 |                    Re: The non-existence of "dark numbers" | 3 | | Chris M. Thomasson |
15 Mar 25 |                  Re: The non-existence of "dark numbers" | 7 | | joes |
14 Mar 25 |                Re: The non-existence of "dark numbers" | 1 | | joes |
14 Mar 25 |              Re: The non-existence of "dark numbers" | 1 | | joes |
14 Mar 25 |           Re: The non-existence of "dark numbers" | 1 | | Chris M. Thomasson |
13 Mar 25 |          Re: The non-existence of "dark numbers" | 1 | | joes |
13 Mar 25 |         Re: The non-existence of "dark numbers" | 4 | | Ben Bacarisse |
12 Mar 25 |      Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] | 29 | | Jim Burns |
12 Mar 25 |     Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] | 2 | | FromTheRafters |
12 Mar 25 |     Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] | 1 | | Jim Burns |