Category Archives: Diagrammatic Reasoning

Peirce’s 1903 Lowell Lectures • Comment 6

Posted on November 24, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA Continuing discussion of the conditional form, as expressed in Peirce’s logical graphs under the existential interpretation, incited me to cite one of my own essays on the subject. Re: Peirce List Discussions • … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 5

Posted on November 16, 2017 by Jon Awbrey

The World of Ā Cf: Laws Of Form Discussion • JA The relationship between classical and non-classical logic is a topic that comes up from time to time in these discussions.  Inquiry into it tends to take a different tack … Continue reading →

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Peirce’s 1903 Lowell Lectures • Comment 4

Posted on November 12, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA A couple of comments in response to questions about the relationship between Spencer Brown’s Laws of Form and the broader scope of Peirce’s Logical Graphs. Re: Peirce List Discussion • HR George Spencer Brown … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | 1 Comment

Peirce’s 1903 Lowell Lectures • Comment 3

Posted on November 10, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA Peirce’s use of the “scroll” as a graphical syntax for implication continued to raise many questions at this point in the Peirce List reading.  I think a lot of what bothers people has … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 2

Posted on November 8, 2017 by Jon Awbrey

How Logic Got Its Blots Cf: Laws Of Form Discussion • JA Taking positive implication as a basic construct, as Peirce does in the lectures at hand, one has to find a way to rationalize the introduction of negative concepts, … Continue reading →

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Peirce’s 1903 Lowell Lectures • Comment 1

Posted on November 6, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA A question arose concerning one of Peirce’s ways of explaining logical negation. Re: Peirce List Discussion • GF I commented as follows. One way of saying “not x” or “x is false” is … Continue reading →

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Peirce’s 1903 Lowell Lectures • Preliminaries

Posted on November 1, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA Re: Peirce List Discussion • GF In September the Peirce List began a reading of Peirce’s 1903 Lowell Lectures (“Some Topics of Logic Bearing on Questions Now Vexed”).  I’ve had opportunities for only … Continue reading →

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Animated Logical Graphs • 10

Posted on March 3, 2017 by Jon Awbrey

Re: Peirce List Discussion • Charles Pyle Let’s consider Peirce’s logical graphs at the alpha level, the abstract forms of which can be interpreted for propositional logic.  I say “can be interpreted” advisedly because the system of logical graphs itself … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 2

Posted on April 28, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell • Gary Richmond Present business has kept me from following much of the recent discussion on Peirce’s three types of reasoning, but we have been down this road before and so old tunes … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 1

Posted on April 26, 2016 by Jon Awbrey

Re: Peirce List Discussion In one of his earliest treatments of the three types of reasoning, from his Harvard Lectures “On the Logic of Science” (1865), Peirce gives an example that illustrates how one and the same proposition might be … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment