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Groups > comp.theory > #136904
| From | "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> |
|---|---|
| Newsgroups | comp.theory, sci.logic, sci.math, sci.lang |
| Subject | Re: A new category of thought |
| Date | 2025-11-29 19:49 -0800 |
| Organization | A noiseless patient Spider |
| Message-ID | <10ggerq$gvi$1@dont-email.me> (permalink) |
| References | (5 earlier) <jzJWQ.9555$fEH6.6841@fx41.iad> <10gg10v$3r0gs$1@dont-email.me> <P2MWQ.43771$zoq5.1168@fx42.iad> <10gg3g1$3rq3i$2@dont-email.me> <QPMWQ.43776$zoq5.11775@fx42.iad> |
Cross-posted to 4 groups.
On 11/29/2025 5:10 PM, Richard Damon wrote: > On 11/29/25 7:35 PM, Chris M. Thomasson wrote: >> On 11/29/2025 4:17 PM, Richard Damon wrote: >>> On 11/29/25 6:53 PM, Chris M. Thomasson wrote: >>>> On 11/29/2025 1:27 PM, Richard Damon wrote: >>>> [...] >>>>> Godel proved that such a system can't exist if it can represent the >>>>> properties of the Natural Number. >>> >>> So, where do you have a "provability operator" that will tell you if >>> a given theory is in fact provable. >> >> Nope. That is not possible. Think of the integer 0. I can prove that >> it has, wrt n-ary, n positive children, and n negative children. For >> example, 2-ary, two (+) and two (-). Say n is a natural number: > > And that was the pre-condition Olcott made of his logic system, that it > have a provability operator. > > Just like you can build a Halt Decider if you assume you have a correct > halt decider (and ignore that it make the system inconsistant). With 2-ary, two children per node, root node aside that has four children... Parent of nodes 1 and 2 is zero, root. Parent of nodes -1 and -2 is zero, root. (-2), (-1), (-0+), (+1), (+2) This seems rather consistent.? > >> >> -1 -2 >> \ / >> \ / >> (-0+) = the root of all? ;^) >> / \ >> / \ >> +1 +2 in 2-ary 0 has the following children (-1, -2, +1, +2), right? >> >> >> But that is just for this n-ary case. I cannot just magically >> extrapolate it our to some programming logic for some random program. >> >> >> >> >> >>> >>> That is what he showed can't exist. >>> >>> The problem is that there are an infinite number of possible proofs >>> to see if any of them reach the desired statement. >>> >>> You can CHECK if a proof is validly proving the statement, but not >>> determine if there exist such a proof, as the negative result >>> requires infinite work. >> >> >
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A new category of thought olcott <polcott333@gmail.com> - 2025-11-29 10:32 -0600
Re: A new category of thought Kaz Kylheku <046-301-5902@kylheku.com> - 2025-11-29 17:53 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-11-29 12:07 -0600
Re: A new category of thought dbush <dbush.mobile@gmail.com> - 2025-11-29 13:19 -0500
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-01 16:55 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-01 11:04 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-02 11:49 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-02 09:26 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-03 12:36 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-03 09:09 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-04 11:50 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-04 08:46 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-05 10:52 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-05 11:21 -0600
Re: A new category of thought André G. Isaak <agisaak@gm.invalid> - 2025-12-05 19:57 -0700
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-05 21:18 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-06 11:01 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-06 06:40 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-07 12:47 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 09:16 -0600
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 02:04 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 21:21 -0600
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 09:55 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-08 12:43 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-06 22:16 -0500
Re: A new category of thought polcott <polcott333@gmail.com> - 2025-12-06 21:50 -0600
Re: A new category of thought Python <python@cccp.invalid> - 2025-12-07 05:32 +0000
Re: A new category of thought Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-12-07 15:49 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 11:38 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-07 07:32 -0500
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 07:37 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-07 17:55 -0500
Re: A new category of thought polcott <polcott333@gmail.com> - 2025-12-07 17:15 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-07 21:50 -0500
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 21:26 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-08 07:40 -0500
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-08 12:47 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-08 19:18 -0500
Re: A new category of thought polcott <polcott333@gmail.com> - 2025-12-08 19:00 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-08 21:24 -0500
Key new insight into halting undecidability polcott <polcott333@gmail.com> - 2025-12-08 20:34 -0600
Re: Key new insight into halting undecidability Richard Damon <Richard@Damon-Family.org> - 2025-12-08 21:57 -0500
Re: Key new insight into halting undecidability polcott <polcott333@gmail.com> - 2025-12-08 21:16 -0600
Re: Key new insight into halting undecidability Richard Damon <Richard@Damon-Family.org> - 2025-12-08 22:22 -0500
Re: Key new insight into halting undecidability polcott <polcott333@gmail.com> - 2025-12-08 21:50 -0600
Re: Key new insight into halting undecidability Richard Damon <Richard@Damon-Family.org> - 2025-12-08 23:20 -0500
Re: Key new insight into halting undecidability polcott <polcott333@gmail.com> - 2025-12-08 22:30 -0600
Re: Key new insight into halting undecidability Richard Damon <Richard@Damon-Family.org> - 2025-12-09 07:42 -0500
Re: Key new insight into halting undecidability polcott <polcott333@gmail.com> - 2025-12-09 10:05 -0600
Re: Key new insight into halting undecidability Richard Damon <Richard@Damon-Family.org> - 2025-12-09 23:02 -0500
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 02:14 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 21:21 -0600
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 07:07 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-08 10:41 -0600
Re: A new category of thought Python <python@cccp.invalid> - 2025-12-08 19:39 +0000
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-05 10:57 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-05 11:30 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-06 10:53 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-06 06:33 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-07 12:42 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 09:03 -0600
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 06:12 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-08 07:59 -0600
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-08 10:18 -0600
Re: A new category of thought Kaz Kylheku <046-301-5902@kylheku.com> - 2025-11-29 20:23 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-11-29 14:51 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-11-29 16:27 -0500
Re: A new category of thought "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-29 15:53 -0800
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-11-29 19:17 -0500
Re: A new category of thought "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-29 16:35 -0800
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-11-29 20:10 -0500
Re: A new category of thought "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-29 19:49 -0800
Re: A new category of thought "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-29 19:50 -0800
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-02 01:59 +0000
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-12-01 23:11 -0500
Re: A new category of thought Kaz Kylheku <046-301-5902@kylheku.com> - 2025-11-29 21:39 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-11-29 15:59 -0600
Re: A new category of thought Kaz Kylheku <046-301-5902@kylheku.com> - 2025-11-29 22:44 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-11-29 17:19 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-11-29 19:21 -0500
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-02 01:13 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-01 19:50 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-01 13:02 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-01 11:15 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-02 10:53 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-02 08:00 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-03 12:41 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-03 09:59 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-05 10:48 +0200
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-05 09:30 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-05 10:41 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-06 10:37 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-06 06:24 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-07 12:39 +0200
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-07 08:59 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-09 15:15 +0200
Re: A new category of thought polcott <polcott333@gmail.com> - 2025-12-09 10:22 -0600
Re: A new category of thought polcott <polcott333@gmail.com> - 2025-12-09 12:04 -0600
Re: A new category of thought Mikko <mikko.levanto@iki.fi> - 2025-12-14 13:02 +0200
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-02 01:39 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-01 20:01 -0600
Re: A new category of thought Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-01 17:37 +0000
Re: A new category of thought olcott <polcott333@gmail.com> - 2025-12-01 13:44 -0600
Re: A new category of thought Richard Damon <Richard@Damon-Family.org> - 2025-11-29 15:08 -0500
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