Tag Archives: Amphecks

Animated Logical Graphs : 12

Re: Facebook Discussion • MBM I’ve always been fond of picture proofs — it was one of the things that drew me to graph theory, topology, and the logical graphs of C.S. Peirce and Spencer Brown in the first place.  Sue was … Continue reading

Posted in Abstraction, Amphecks, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Complementarity, Computational Complexity, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Graph Theory, Iconicity, Interpretation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Animated Logical Graphs : 11

Re: Richard Coyne • Inside Out Logic Venn diagrams make for very iconic representations of their universes of discourse.  That is one of the main sources of their intuitive utility and also the main source of their logical limitations — … Continue reading

Posted in Abstraction, Amphecks, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Complementarity, Computational Complexity, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Graph Theory, Iconicity, Interpretation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Differential Logic • Comment 3

Re: Laws Of Form Discussion • BL In my previous comment on boundaries in object universes and venn diagrams, and always when I’m being careful about their mathematical senses, the definitions of “topology” and “boundary“ I have in mind can … Continue reading

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Diagrammatic Reasoning, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Differential Logic • Comment 2

Re: Laws Of Form Discussion • JB As always, we have to distinguish between the diagram itself, the representation or sign inscribed in some medium, and the formal object it represents under a given interpretation. A venn diagram is an … Continue reading

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Diagrammatic Reasoning, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Differential Logic • Comment 1

Re: Gil Kalai • Pivotal Variables Just a tangential association with respect to logical influence and pivotability.  I have been exploring questions related to pivotal variables (“Differences that Make a Difference” or “Difference In ⟹ Difference Out”) via logical analogues … Continue reading

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Logic, Logical Graphs, Logical Influence, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pivotal Variables, Propositional Calculus, Propositional Equation Reasoning Systems, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Minimal Negation Operators • 4

Re: Laws Of Form Discussion • Minimal Negation Operators Defining minimal negation operators over a more conventional basis is next in order of logic, if not necessarily in order of every reader’s reading.  For what it’s worth and against the … Continue reading

Posted in Amphecks, 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, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

Minimal Negation Operators • 3

Re: Laws Of Form Discussion • Minimal Negation Operators • AM It will take a few more rounds of stage-setting before I can get to concrete examples of applications but the following should indicate the direction of generalization embodied in … Continue reading

Posted in Amphecks, 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, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment