Re: The simple essence of Proof Theoretic Semantics
dbush <[email protected]>
| Newsgroups | sci.logic,comp.theory,sci.math,comp.ai.philosophy |
|---|---|
| Organization | A noiseless patient Spider |
| Message-ID | <[email protected]> |
On 6/30/2026 10:57 PM, olcott wrote: > On 6/30/2026 9:34 PM, dbush wrote: >> On 6/30/2026 6:04 PM, olcott wrote: >>> On 6/30/2026 4:56 PM, André G. Isaak wrote: >>>> On 2026-06-30 15:45, olcott wrote: >>>>> On 6/30/2026 4:18 PM, André G. Isaak wrote: >>>>>> On 2026-06-29 21:06, olcott wrote: >>>>>>> On 6/29/2026 9:49 PM, André G. Isaak wrote: >>>>>>>> On 2026-06-29 20:42, olcott wrote: >>>>>> >>>>>>>>> Those are specific concrete examples of how >>>>>>>>> Proof Theoretic Semantics rejects expressions >>>>>>>>> as Proof Theoretic Semantically incoherent. >>>>>>>> >>>>>>>> No, they are not. No author writing in the framework of proof- >>>>>>>> theoretic semantics has ever offered those examples or >>>>>>>> comparable examples or made any claims about 'rejecting >>>>>>>> expressions as proof theoretic semantically incoherent'. And >>>>>>>> there's nothing incoherent about the statement 'no number is >>>>>>>> equal to its successor' which is the example under discussion. >>>>>>>> >>>>>>>> André >>>>>>>> >>>>>>> >>>>>>> None-the-less what I have said remains completely true. >>>>>>> What I have spent 28 years reverse-engineering from first >>>>>>> principles is exactly that. That no one applied PTS >>>>>>> exactly that way before does not mean that it is not >>>>>>> exactly correct PTS. >>>>>> >>>>>> Unfortunately, your say so carries very little weight. >>>>>> >>>>> >>>>> Yes. That is why I need to carefully find the exact >>>>> text that backs me up. Because PTS has their own >>>>> private author by author language it must be a >>>>> work written for a general audience like this work. >>>>> https://plato.stanford.edu/entries/proof-theoretic-semantics/ >>>>> >>>>> >>>>>> Would you agree that there is a difference between a statement >>>>>> being false and a statement being meaningless? >>>>>> >>>>> >>>>> PTS is the way that meaning actually works. We can make a >>>>> simpler analogy in that English words are meaningless until >>>>> they are defined. The PTS connection of an expression in >>>>> Q to its axioms Q is analogous to the connection of an >>>>> English word to its definition. A proof merely looks to >>>>> see if a definition exists and if it does not then the >>>>> English Word / Expression of Q remains meaningless. >>>>> >>>>> PTS counts a finite sequence of inference steps between >>>>> an expression and a set of axioms as the definition of >>>>> this expression. These are the two papers that establish >>>>> this Definitional View. >>>> >>>> None of the above answers my question: >>>> >>>> Would you agree that there is a difference between a statement being >>>> false and a statement being meaningless? >>>> >>> >>> I don't answer dumb questions. >> >> Translation: >> >> "I don't answer questions that can prove me wrong" Your lack of response to this constitutes that you agree it is correct, and show everyone reading this what a liar you are.