Category Archives: C.S. Peirce

Objects, Models, Theories • 3

Re: Objects, Models, Theories • (1) • (2) Re: Peirce List • Tom Gollier Here my task is to build bridges between several different classical and contemporary uses of the word model, so I don’t have the luxury of complete … Continue reading →

Posted in Adaptive Systems, Analogy, Biological Systems, C.S. Peirce, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mathematics, Mental Models, Model Theory, Pragmata, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 6 Comments

Objects, Models, Theories • 2

Re: K.W. Regan • The Graph Of Math Re: Artem Kaznatcheev • Three Types Of Mathematical Models What — if anything — is the common sense that connects the different senses of the word model, as it has been used … Continue reading →

Posted in Adaptive Systems, Analogy, Biological Systems, C.S. Peirce, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mathematics, Mental Models, Model Theory, Pragmata, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 10 Comments

Alpha Now, Omega Later • 1

I am still in the middle of trying to catch up on some long put-off work but recent discussions of logical graphs and physics and the like on the Peirce List have bestirred me from my grindstone long enough to … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Sign Relations, Spencer Brown | Tagged , , , , , , , , , , , | 8 Comments

“What we’ve got here is (a) failure to communicate” • 6

Excerpt from Warren S. McCulloch, “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number?” (1960) Please remember that we are not now concerned with the physics and chemistry, the anatomy … Continue reading →

Posted in Abduction, Amphecks, Aristotle, Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Combinatorics, Deduction, Duns Scotus, Induction, Leibniz, Logic, Logic of Relatives, Mathematics, Neural Models, Ockham, Peirce, Propositional Logic, Psychons, Relation Theory, Sources, Triadic Relations, Warren S. McCulloch, William James | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

“What we’ve got here is (a) failure to communicate” • 5

Excerpt from C.S. Peirce, “Minute Logic” (1902), CP 2.144–148 2.2. Why Study Logic? 2.2.5. Reasoning and Expectation 144.   But since you propose to study logic, you have more or less faith in reasoning, as affording knowledge of the truth. Now … Continue reading →

Posted in Anthem, C.S. Peirce, Communication, Meditation, Peirce, References, Sources | Tagged , , , , , , | 2 Comments

Peircean Semiotics and Triadic Sign Relations • 3

Having labored mightily to bring out a new edition of my article on sign relations, including material on the pivotal concept of semiotic equivalence relations which had fallen into obscurity elsewhere, I thought it worth the candle to post a … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Logic of Relatives, Relation Theory, Semiotics, Sign Relations | Tagged , , , , , , | 2 Comments

Architectonics of Inquiry • 1

Re: R.J. Lipton • Teaching Helps Research Along these lines, if somewhat tangentially, are some questions that I’ve wondered about for many years. How do research and teaching interact, and how might they act to catalyze one another in the … Continue reading →

Posted in Artificial Intelligence, Automated Research Tools, C.S. Peirce, Discovery, Educational Systems Design, Educational Technology, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Instruction, Peirce, Research Technology | Tagged , , , , , , , , , , , | 3 Comments

Differential Analytic Turing Automata • Discussion 1

Re: R.J. Lipton and K.W. Regan • Proving Cook’s Theorem Synchronicity Rules❢ I just started reworking an old exposition of mine on Cook’s Theorem, where I borrowed the Parity Function example from Wilf (1986), Algorithms and Complexity, and translated it … Continue reading →

Posted in Algorithms, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Differential Analytic Turing Automata, Differential Logic, Logic, Logical Graphs, Peirce, Propositional Calculus, Turing Machines | Tagged , , , , , , , , , , , | 2 Comments

Definition and Determination • 10

The moment, then, that we pass from nothing and the vacuity of being to any content or sphere, we come at once to a composite content and sphere.  In fact, extension and comprehension — like space and time — are … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Semiotics, Sources | Tagged , , , , , , , , , , , , , , , , | 11 Comments

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Does your dualism lose its flavor on the bedpost overnight? Unblock your inquiry with a dose of Peirce’s Elixir Triadic❢ ☞ Inquiry Driven Systems • Are There Apps For That? Frequently encountered complementarities, dualities, or design trade-offs Integrating data-driven (empiricist) … Continue reading →

Posted in Analogy, C.S. Peirce, Dualism, Dyadicism, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Inquiry Support Technology, Intelliscope, Pragmatism, Reductionism, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , | 8 Comments