Category Archives: Cactus Graphs

Charles Sanders Peirce, George Spencer Brown, and Me • 16

Re: Conceptual Graphs • Gary Zhu GZ: I’m quite confused on why people are interested in Laws of Form. What is LOF trying to do? Is it just rewriting logic or is there something more fundamental. e.g. a universal algebraic … Continue reading

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Genus, Species, Pie Charts, Radio Buttons • Discussion 5

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • John Mingers Dear John, Once we grasp the utility of minimal negation operators for partitioning a universe of discourse into several regions and any region into … 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 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

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

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