Category Archives: Graph Theory

Genus, Species, Pie Charts, Radio Buttons • Discussion 2

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • William Bricken A problem we often encounter is the need to relate a variety of formal languages to the same domain of formal objects.  In our … Continue reading

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Genus, Species, Pie Charts, Radio Buttons • Discussion 1

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • William Bricken WB: Here’s an analysis of “Boolean” structure.  It’s actually a classification of the structure of distinctions containing 2 and 3 variables.  The work was … Continue reading

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Genus, Species, Pie Charts, Radio Buttons • 1

Re: Minimal Negation Operators • (1) • (2) • (3) • (4) Re: Laws of Form • Bruce Schuman BS: Leon Conrad’s presentation talks about “marked” and “unmarked” states. He uses checkboxes to illustrate this choice, which seem to be … Continue reading

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 6 Comments

Survey of Relation Theory • 5

In this Survey of blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of … Continue reading

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Differential Logic, Dynamic Systems, Tangent Functors • Comment 2

Re: Differential Logic, Dynamic Systems, Tangent Functors • 1 Seeing as how quasi-neural models and the recurring issues of symbolic vs. connectionist paradigms have come round again, I thought I might revisit work I began initially in that context, investigating … Continue reading

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Cybernetics, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Dynamical Systems, Graph Theory, Information & Control, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Relation Theory • Discussion 3

Re: Relation Theory • (1) • (2) • (3) • (4) • (5) Re: Laws of Form • James Bowery JB: Thanks for that very rigorous definition of “relation theory”. Its “trick” of including the name of the -relation in … Continue reading

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Triadic Relations, Type Theory, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Relation Theory • Discussion 2

Re: Relation Theory • (1) • (2) • (3) • (4) Re: FB | Charles S. Peirce Society • Joseph Harry JH: These are iconic representations dealing with logical symbolic relations, and so of course are semiotic in Peirce’s sense, … Continue reading

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Triadic Relations, Type Theory, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Logical Graphs, Iconicity, Interpretation • Discussion 2

Re: Logical Graphs, Iconicity, Interpretation • 2 Re: Laws of Form • John Mingers JM: The quote you have given does not match the standard Peircean trichotomy of icon, index, symbol.  See this quote from [CP 4.447 …] Dear John, I … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Logical Graphs, Iconicity, Interpretation • Discussion 1

Re: Logical Graphs, Iconicity, Interpretation • 1 Re: Laws of Form • John Mingers JM: I’m impressed that you have read Ricoeur — my impression is that Americans don’t have much time for Continental philosophy (a huge generalisation of course). … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Logical Graphs, Iconicity, Interpretation • 2

In the first place there are likenesses or copies — such as statues, pictures, emblems, hieroglyphics, and the like.  Such representations stand for their objects only so far as they have an actual resemblance to them — that is agree … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments