Tag Archives: Semiotics

Logical Graphs • Formal Development 3

Posted on September 17, 2023 by Jon Awbrey

Logical Interpretation One way of assigning logical meaning to the initial equations is known as the entitative interpretation (En).  Under En, the axioms read as follows. Another way of assigning logical meaning to the initial equations is known as the existential interpretation … 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 , , , , , , , , , , , , , , , , , , , | 3 Comments

Logical Graphs • Formal Development 2

Posted on September 16, 2023 by Jon Awbrey

Axioms The formal system of logical graphs is defined by a foursome of formal equations, called initials when regarded purely formally, in abstraction from potential interpretations, and called axioms when interpreted as logical equivalences.  There are two arithmetic initials and … 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 , , , , , , , , , , , , , , , , , , , | 3 Comments

Logical Graphs • Formal Development 1

Posted on September 15, 2023 by Jon Awbrey

Logical graphs are next presented as a formal system by going back to the initial elements and developing their consequences in a systematic manner. 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 , , , , , , , , , , , , , , , , , , , | 3 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 11

Posted on September 12, 2023 by Jon Awbrey

Re: Michael Shapiro • Redefining Arbitrariness in Language MS: The matter of arbitrariness in language is primarily associated with the work of the Swiss linguist, Ferdinand de Saussure (1857–1913), whose book of lectures, Cours de linguistique Générale, is widely recognized … 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

Logical Graphs • Formal Development

Posted on September 1, 2023 by Jon Awbrey

Logical graphs are next presented as a formal system by going back to the initial elements and developing their consequences in a systematic manner. Continue reading →

Posted in Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , | 35 Comments

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

Inquiry Into Inquiry • Discussion 9

Posted on August 19, 2023 by Jon Awbrey

Re: Pragmatic Maxim Re: Academia.edu • Milo Gardner MG: Do you agree that Peirce was limited to bivalent logic? Taking classical logic as a basis for reasoning is no more limiting than taking Dedekind cuts as a basis for constructing … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Compositionality, Formal Languages, Inference, Information, Information Fusion, Initiative, Inquiry, Logic, Relation Theory, Semiotics, Triadic Relation Irreducibility, Visualization | Tagged , , , , , , , , , , , , , , | 5 Comments

Inquiry Into Inquiry • Discussion 8

Posted on August 18, 2023 by Jon Awbrey

Re: Inquiry Into Inquiry • Discussion 7 Re: Academia.edu • Milo Gardner MG: Peirce sensed that bivalent syntax was superceded by trivalent syntax, but never resolved that nagging question. The main thing is not a question of syntax but a … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Compositionality, Formal Languages, Inference, Information, Information Fusion, Initiative, Inquiry, Logic, Relation Theory, Semiotics, Triadic Relation Irreducibility, Visualization | Tagged , , , , , , , , , , , , , , | 5 Comments