Author Archives: Jon Awbrey

Inquiry Into Inquiry • In Medias Res

Posted on July 21, 2022 by Jon Awbrey

Re: Daniel Everett DE: I am trying to represent two readings of the three juxtaposed sentences in English.  The first reading is that the judge and the jury both know that Malcolm is guilty.  The second is that the judge knows … Continue reading →

Posted in Anthem, Initiative, Inquiry | Tagged , , | 10 Comments

Inquiry Into Inquiry • On Initiative 2

Posted on July 20, 2022 by Jon Awbrey

Re: Scott Aaronson • (1) • (2) • (3) SA: Personally, I’d give neither of them [Bohr or Einstein] perfect marks, in part because they not only both missed Bell’s Theorem, but failed even to ask the requisite question (namely:  … Continue reading →

Posted in Anthem, Initiative, Inquiry | Tagged , , | 9 Comments

Sign Relations • Discussion 14

Posted on July 17, 2022 by Jon Awbrey

Re: Cybernetics • Cliff Joslyn (1) (2) (3) (4) Dear Cliff, A few examples of sign relations and triadic relations may serve to illustrate the problem of their demarcation. First, to clear up one point of notation, in writing there … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 6 Comments

Sign Relations • Discussion 13

Posted on July 17, 2022 by Jon Awbrey

Re: Cybernetics • Cliff Joslyn (1) (2) (3) Dear Cliff, Backing up a little — Whether a thing qualifies as a sign is not an ontological question, a matter of what it is in itself, but a pragmatic question, a … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 6 Comments

Sign Relations • Discussion 12

Posted on July 16, 2022 by Jon Awbrey

Re: Cybernetics • Cliff Joslyn CJ: For a given arbitrary triadic relation (let’s say that and are all finite, non‑empty sets), I’m interested to understand what additional axioms you’re saying are necessary and sufficient to make a sign relation.  I … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 6 Comments

Sign Relations • Discussion 11

Posted on July 13, 2022 by Jon Awbrey

Re: Cybernetics • Cliff Joslyn CJ: For a given arbitrary triadic relation (let’s say that and are all finite, non‑empty sets), I’m interested to understand what additional axioms you’re saying are necessary and sufficient to make a sign relation.  I … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 6 Comments

Inquiry Into Inquiry • On Initiative 1

Posted on July 10, 2022 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Sorting and Proving Somewhat incidental to the twin themes of Sorting and Proving in computer science, Dick Lipton and Ken Regan made the following observation about an AI program whose sentience or otherwise is currently … Continue reading →

Posted in Anthem, Initiative, Inquiry | Tagged , , | 7 Comments

Sign Relations • Semiotic Equivalence Relations 2

Posted on July 8, 2022 by Jon Awbrey

A few items of notation are useful in discussing equivalence relations in general and semiotic equivalence relations in particular. In general, if is an equivalence relation on a set then every element of belongs to a unique equivalence class under … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Sign Relations • Semiotic Equivalence Relations 1

Posted on July 7, 2022 by Jon Awbrey

A semiotic equivalence relation (SER) is a special type of equivalence relation arising in the analysis of sign relations.  Generally speaking, any equivalence relation induces a partition of the underlying set of elements, known as the domain or space of the … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Sign Relations • Ennotation

Posted on July 6, 2022 by Jon Awbrey

A third aspect of a sign’s complete meaning concerns the relation between its objects and its interpretants, which has no standard name in semiotics.  It would be called an induced relation in graph theory or the result of relational composition … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments