Category Archives: Visualization

Sign Relations, Triadic Relations, Relation Theory • 4

Posted on February 22, 2024 by Jon Awbrey

For ease of reference, here are two variants of Peirce’s 1902 definition of a sign, which he gives in the process of defining logic. Selections from C.S. Peirce, “Carnegie Application” (1902) No. 12.  On the Definition of Logic Logic will … Continue reading →

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Sign Relations, Triadic Relations, Relation Theory • 3

Posted on February 20, 2024 by Jon Awbrey

The middle ground between relations in general and the sign relations informing logic, inquiry, and communication is occupied by triadic relations, also called ternary or 3‑place relations. Triadic relations are some of the most pervasive in mathematics, over and above … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Sign Relations, Triadic Relations, Relation Theory • 2

Posted on February 19, 2024 by Jon Awbrey

I always have trouble deciding whether to start with the genus and drive down to the species or begin with concrete examples and accompany Sisyphus up Mt. Abstraction. To start at the wide end of the funnel, the following article takes … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Sign Relations, Triadic Relations, Relation Theory • 1

Posted on February 18, 2024 by Jon Awbrey

To understand how signs work in Peirce’s theory of triadic sign relations, or “semiotics”, we have to understand, in order of increasing generality, sign relations, triadic relations, and relations in general, each as conceived in Peirce’s logic of relative terms … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 5 Comments

Interpreter and Interpretant • Discussion 4

Posted on February 6, 2024 by Jon Awbrey

Re: Interpreter and Interpretant • Selection 4 Re: Conceptual Graphs • Tom Gollier Tom, Another discussion coming to mind is one we had on this subject in 2016.  Once again I’ll save a measure of strain on my brain by … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Interpreter and Interpretant • Discussion 3

Posted on February 5, 2024 by Jon Awbrey

Re: Interpreter and Interpretant • Selection 4 Re: Conceptual Graphs • Tom Gollier TG: Given your diagram of Dewey’s example, I don’t see how the event of rain can be the object (O).  The objects seem more clearly to be … Continue reading →

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Interpreter and Interpretant • Discussion 2

Posted on February 3, 2024 by Jon Awbrey

Re: Interpreter and Interpretant • Selection 1 Re: Laws of Form • Lyle Anderson LA: You can not find “ground” in Aristotle.  If the past three years have shown us anything it is that his assertion: But the mental affections … Continue reading →

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Interpreter and Interpretant • Discussion 1

Posted on February 1, 2024 by Jon Awbrey

Re: Conceptual Graphs • Helmut Raulien   HR: I find it a bit problematic to say, that the sign determines the interpretant, because the sign doesn’t infer, it is the interpreter, who does the inference.  But ok, I guess we … Continue reading →

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Interpreter and Interpretant • Selection 4

Posted on January 31, 2024 by Jon Awbrey

Interpretation and Inquiry To illustrate the role of sign relations in inquiry we begin with Dewey’s elegant and simple example of reflective thinking in everyday life. A man is walking on a warm day.  The sky was clear the last … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Interpreter and Interpretant • Selection 3

Posted on January 30, 2024 by Jon Awbrey

The following selection from Peirce’s “Lowell Lectures on the Logic of Science” (1866) lays out in detail his “metaphorical argument” for the relationship between interpreters and interpretant signs. I think we need to reflect upon the circumstance that every word implies … Continue reading →

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