Category Archives: Logical Graphs

Genus, Species, Pie Charts, Radio Buttons • Discussion 4

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • John Mingers JM: I feel as though you have posted these same diagrams many times, and it is always portrayed as clearing the ground for something … 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 3

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • William Bricken Last time I alluded to the general problem of relating a variety of formal languages to a shared domain of formal objects, taking six … 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 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

Triadic Relations • 3

Triadic Relations • Examples from Semiotics The study of signs — the full variety of significant forms of expression — in relation to all the affairs signs are significant of, and in relation to all the beings signs are significant … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 5 Comments

Triadic Relations • 2

Triadic Relations • Examples from Mathematics For the sake of topics to be taken up later, it is useful to examine a pair of triadic relations in tandem.  We will construct two triadic relations, and each of which is a … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Triadic Relations • 1

Of triadic Being the multitude of forms is so terrific that I have usually shrunk from the task of enumerating them;  and for the present purpose such an enumeration would be worse than superfluous:  it would be a great inconvenience. … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

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 • 6

Relation Theory • Species of Dyadic Relations Returning to 2-adic relations, it is useful to describe several familiar classes of objects in terms of their local and numerical incidence properties.  Let be an arbitrary 2-adic relation.  The following properties of … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments