Category Archives: Painted Cacti

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

Minimal Negation Operators • 2

Re: Laws Of Form Discussion • Minimal Negation Operators The brief description of minimal negation operators given in the previous post is enough to convey the rule of their construction.  For future reference, a slightly more formal definition is given … 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 • 1

To accommodate moderate levels of complexity in the application of logical graphs our organon needs a class of organules called “minimal negation operators”. Brief Introduction A minimal negation operator is a logical connective that says “just one false” of its … 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 , , , , , , , , , , , , , , , , , , , | 1 Comment