Tag Archives: Visualization

Interpreter and Interpretant • Selection 4

Posted on January 9, 2025 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, Hermeneutics, Interpretation, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 4 Comments

Interpreter and Interpretant • Selection 3

Posted on January 8, 2025 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 →

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

Interpreter and Interpretant • Selection 2

Posted on January 7, 2025 by Jon Awbrey

A idea of what Peirce means by an Interpretant and the part it plays in a triadic sign relation is given by the following passage. It is clearly indispensable to start with an accurate and broad analysis of the nature … Continue reading →

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

Interpreter and Interpretant • Selection 1

Posted on January 6, 2025 by Jon Awbrey

Questions about the relationship between “interpreters” and “interpretants” in Peircean semiotics have broken out again.  To put the matter as pointedly as possible — because I know someone or other is bound to — “In a theory of three‑place relations … Continue reading →

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

Riffs and Rotes • Happy New Year 2025

Posted on January 1, 2025 by Jon Awbrey

No information is lost by dropping the terminal 1s.  Thus we may write the following form. The article linked below tells how forms of that sort correspond to a family of digraphs called riffs and a family of graphs called … Continue reading →

Posted in Algebra, Arithmetic, Combinatorics, Computation, Graph Theory, Group Theory, Logic, Mathematics, Number Theory, Recursion, Representation, Riffs and Rotes, Semiotics, Visualization | Tagged , , , , , , , , , , , , , | Leave a comment

Differential Propositional Calculus • 37

Posted on December 31, 2024 by Jon Awbrey

Foreshadowing Transformations • Extensions and Projections of Discourse And, despite the care which she took to look behind her at every moment, she failed to see a shadow which followed her like her own shadow, which stopped when she stopped, … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Functional Logic, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Time, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Differential Propositional Calculus • 36

Posted on December 30, 2024 by Jon Awbrey

Transformations of Discourse It is understandable that an engineer should be completely absorbed in his speciality, instead of pouring himself out into the freedom and vastness of the world of thought, even though his machines are being sent off to … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Functional Logic, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Time, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Differential Propositional Calculus • 35

Posted on December 29, 2024 by Jon Awbrey

Example 2. Drives and Their Vicissitudes (concl.) Applied to the example of ‑gear curves, the indexing scheme results in the data of the next two Tables, showing one period for each orbit. The states in each orbit are listed as … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Functional Logic, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Time, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Differential Propositional Calculus • 34

Posted on December 29, 2024 by Jon Awbrey

Example 2. Drives and Their Vicissitudes (cont.) With a little thought it is possible to devise a canonical indexing scheme for the states in differential logical systems.  A scheme of that order allows for comparing changes of state in universes … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Functional Logic, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Time, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Differential Propositional Calculus • 33

Posted on December 28, 2024 by Jon Awbrey

Example 2. Drives and Their Vicissitudes (cont.) Expressed in the language of drives and gears our next Example may be described as the family of fourth‑gear curves through the fourth extension   Those are the trajectories generated subject to the … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Functional Logic, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Time, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments