Category Archives: Logical Graphs

Logical Graphs • Discussion 6

Posted on August 29, 2023 by Jon Awbrey

Re: Logical Graphs • First Impressions Re: Academia.edu • Robert Appleton RA: As a professional graphic designer and non-mathematician reading your two diagrams, I need to ask for a simpler statement of their purpose.  What do Fig 1 and Fig 2 represent … 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, Painted Cacti, Propositional Calculus, Propositional Equation Reasoning Systems, Relation Theory, Semiotics, Sign Relations, Spencer Brown, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Logical Graphs • Discussion 5

Posted on August 28, 2023 by Jon Awbrey

Re: Logical Graphs • First Impressions Re: Facebook • Daniel Everett DE: Nice discussion.  Development of icon-based reasoning As it happens, even though Peirce’s systems of logical graphs do have iconic features, their real power over other sorts of logical … 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, Painted Cacti, Propositional Calculus, Propositional Equation Reasoning Systems, Relation Theory, Semiotics, Sign Relations, Spencer Brown, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Logical Graphs • First Impressions

Posted on August 24, 2023 by Jon Awbrey

A logical graph is a graph-theoretic structure in one of the styles of graphical syntax that Charles Sanders Peirce developed for logic. Continue reading →

Posted in Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Diagrammatic Reasoning, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 30 Comments

Differential Logic • The Logic of Change and Difference

Posted on August 22, 2023 by Jon Awbrey

Differential logic is the logic of variation — the logic of change and difference. Differential logic is the component of logic whose object is the description of variation — the aspects of change, difference, distribution, and diversity — in universes … Continue reading →

Posted in Animata, Boolean Difference Calculus, Boolean Functions, C.S. Peirce, Differential Logic, Differential Propositions, Discrete Dynamical Systems, Leibniz, Logic, Logical Graphs, Minimal Negation Operators, Visualization | Tagged , , , , , , , , , , , | 6 Comments

Systems of Interpretation • 9

Posted on June 17, 2023 by Jon Awbrey

Re: Peirce List • Jerry Chandler It is above all important to understand that Peirce’s concept of a sign relation is defined at a higher order of abstraction than any notion of causal or temporal order. A sign relation is … 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 , , , , , , , , , , , | 6 Comments

Systems of Interpretation • 8

Posted on June 16, 2023 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen One of the chief advantages of Peirce’s systems of logical graphs, entitative and existential, is the way they escape the bounds of 1‑dimensional syntax and thus make it clear that many constraints of order imposed … 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

Systems of Interpretation • 7

Posted on June 15, 2023 by Jon Awbrey

Re: Peirce List • Gary Fuhrman Peirce’s existential graphs are a general calculus for expressing the same subject matter as his logic of relative terms and thus they serve to represent the structures of many‑place relations.  Cast at that level … 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

Systems of Interpretation • 6

Posted on June 14, 2023 by Jon Awbrey

Re: Peirce List • Jon Awbrey • John Collier JA: Questions about the meaning of the “central hub” in the “three‑spoked” picture of an elementary sign relation have often come up.  The central “spot”, as Peirce called it in his … 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

Systems of Interpretation • Discussion 1

Posted on June 12, 2023 by Jon Awbrey

Re: FB | Systems Sciences • Esteban Trev ET: What is the difference between sign and symbol? In Peirce’s usage, “sign” is the generic term, covering all species or types of signs.  Signs are “symbolic” to the extent they mean … 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

Systems of Interpretation • 5

Posted on June 11, 2023 by Jon Awbrey

Re: Peirce List • Jerry Chandler An elementary sign relation is an ordered triple   It is called elementary because it is one element of a sign relation where is a set of objects, is a set of signs, and … 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