Monthly Archives: July 2022

Inquiry Into Inquiry • Understanding 2

In the passage quoted in the previous post Bertrand Russell addresses the question, “What is the logical structure of the fact which consists in a given subject understanding a given proposition?” and he selects a proposition of the form to demonstrate his … Continue reading

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Inquiry Into Inquiry • Understanding 1

Another passage from Russell further illustrates what I see as a critical juncture in his thought.  The graph-theoretic figure he uses in analyzing a complex of logical relationships brings him to the edge of seeing the limits of dyadic analysis … Continue reading

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Inquiry Into Inquiry • Flash Back

The fault, dear Brutus, is not in our stars, But in ourselves … Julius Caesar • 1.2.141–142 Signs have a power to inform, to lead our thoughts and thus our actions in accord with reality, to make reality our friend.  … Continue reading

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Inquiry Into Inquiry • In Medias Res

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

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Inquiry Into Inquiry • On Initiative 2

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

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Sign Relations • Discussion 14

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 , , , , , , , | 3 Comments

Sign Relations • Discussion 13

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 , , , , , , , | 3 Comments

Sign Relations • Discussion 12

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 , , , , , , , | 3 Comments

Sign Relations • Discussion 11

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 , , , , , , , | 3 Comments

Inquiry Into Inquiry • On Initiative 1

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

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