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Groups > comp.theory > #141648
| From | polcott <polcott333@gmail.com> |
|---|---|
| Newsgroups | comp.theory, sci.logic |
| Subject | Re: this sentence is true? |
| Date | 2026-06-12 11:00 -0500 |
| Message-ID | <110haff$q54j$1@solani.org> (permalink) |
| References | (3 earlier) <110f71t$1np5l$2@dont-email.me> <110fbqu$1pchl$1@dont-email.me> <110gu8f$266uk$1@dont-email.me> <110h2ho$27kmj$1@dont-email.me> <110h4pc$286in$2@dont-email.me> |
Cross-posted to 2 groups.
On 6/12/2026 9:23 AM, Tristan Wibberley wrote: > On 12/06/2026 14:45, olcott wrote: >> On 6/12/2026 7:32 AM, Tristan Wibberley wrote: >>> On 11/06/2026 23:11, olcott wrote: >>>> It seems that you are saying that it is a sort of negation >>>> as failure kind of false. >>> >>> It depends on the logical system(s) that TP is a statement of, each >>> system might lead to a different characterisation for TP than the others. >>> >>> >> >> >> *Within Proof Theoretic Semantics* >> Proof-theoretic semantics is inherently inferential, >> as it is inferential activity which manifests itself >> in proofs. It thus belongs to inferentialism (a term >> coined by Brandom, see his 1994; 2000) according to >> which inferences and the rules of inference establish >> the meaning of expressions >> >> Schroeder-Heister, Peter, 2024 "Proof-Theoretic Semantics" >> https://plato.stanford.edu/entries/proof-theoretic-semantics/ >> #InfeIntuAntiReal >> > > Per Curry and Feys, Proof Theoretic Semantics (henceforth in this > message: PTS), if you take it as a system is an episystem (I always > forget the right word, I should look it up when I have a organised > moment). PTS is applied to a selection form among other formalised > systems to yield a new system with theorems from both and some that are > newly derived therefrom. > > So a discussion of the properties of systems applies when one uses PTS. > Proof Theoretic Semantics it intended to override supersede and utterly replace Truth Conditional Semantics (AKA model theory) thus PA becomes only what its axioms actually specify. Peter Schroeder-Heister coined the term: "Proof Theoretic Semantics" "...inferences and the rules of inference establish the meaning of expressions" I understand my above quote to be accurately paraphrased to say that when G is unprovable in Peano Arithmetic then G never derives any semantic meaning in PA. -- Copyright 2026 Olcott My 28 year goal has been to make "true on the basis of meaning expressed in language" reliably computable for the entire body of knowledge. The complete structure of this system is now defined. The entire body of knowledge expressed in language is comprised of two types of relations between finite strings: (a) *Axioms* Expressions of language that are stipulated to be true. My system bridges the analytic/synthetic distinction by expressly encoding all empirical "atomic facts" in a formal language such as CycL of the Cyc project. (b) *Inference Rules* Expressions of language that are semantically entailed syntactically from (a) and/or (b).
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this sentence is true? dart200 <user7160@newsgrouper.org.invalid> - 2026-06-09 10:05 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-09 12:53 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-09 11:20 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-09 13:36 -0500
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-11 21:50 +0100
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-11 17:11 -0500
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-12 13:32 +0100
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-12 08:45 -0500
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-12 15:23 +0100
Re: this sentence is true? polcott <polcott333@gmail.com> - 2026-06-12 11:00 -0500
Re: this sentence is true? --- Olcott exceeds PTS olcott <polcott333@gmail.com> - 2026-06-12 15:07 -0500
Re: this sentence is true? dart200 <user7160@newsgrouper.org.invalid> - 2026-06-09 17:34 -0700
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 07:08 -0700
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 08:08 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-10 10:33 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 09:15 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-10 11:27 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 10:02 -0700
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 10:10 -0700
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 10:13 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-10 12:30 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 11:02 -0700
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-10 11:07 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-10 13:34 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-12 09:27 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-12 11:44 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-12 12:27 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-12 14:35 -0500
Re: this sentence is true? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-14 09:25 -0700
Re: this sentence is true? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-06-10 12:19 -0700
Re: this sentence is true? dart200 <user7160@newsgrouper.org.invalid> - 2026-06-10 12:37 -0700
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-09 14:45 -0500
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-09 15:46 -0500
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-11 21:55 +0100
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-11 17:14 -0500
Re: this sentence is true? Scott Hoge <nospam@nospam.com> - 2026-06-11 01:14 +0000
Re: this sentence is true? olcott <polcott333@gmail.com> - 2026-06-10 21:09 -0500
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-11 21:57 +0100
Re: this sentence is true? Scott Hoge <nospam@nospam.com> - 2026-06-12 00:37 +0000
Re: this sentence is true? Julio Di Egidio <julio@diegidio.name> - 2026-06-23 11:17 +0200
Re: this sentence is true? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-06-11 21:45 +0100
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