Tag Archives: Category Theory

Indicator Functions • Discussion 1

Peter Smith, on his Logic Matters blog, asks the question, “What Is A Predicate?”, and considers a number of answers. There are of course other possible answers, and one I learned quite early on, arising very naturally in applying mathematical … Continue reading

Posted in Boole, Boolean Functions, C.S. Peirce, Category Theory, Indication, Indicator Functions, Logic, Mathematics, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Set Theory, Venn Diagrams | Tagged , , , , , , , , , , , , | Leave a comment

Differential Logic, Dynamic Systems, Tangent Functors • Discussion 2

Re: Cybernetic Communications • SU One thing that interests me here is the relation between narratives and navigation.  Navigation has to do with how we move through actual state spaces while narratives are the tales we tell about past adventures … Continue reading

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

Differential Logic, Dynamic Systems, Tangent Functors • Discussion 1

Re: Cybernetic Communications • Analyzing Differences of Perceptions/Constructions Susan and I just returned from our annual dramatic immersion in Stratford Ontario and the last play we saw was a playfully dramatic rendition of Milton’s Paradise Lost.  That and the spectacular … Continue reading

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

Differential Logic, Dynamic Systems, Tangent Functors • 1

People interested in category theory as applied to systems may wish to check out the following article, reporting work I carried out while engaged in a systems engineering program at Oakland University. The problem addressed is a longstanding one, that … Continue reading

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

Definition and Determination : 17

Re: Ontolog Forum Discussion • Richard McCullough RM:  We clearly have some differences in the “definition” of “definition”. I suppose it all depends on the sorts of things one wants to define, something we might call the context of application.  … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Definition and Determination : 16

Re: Ontolog Forum Discussion • Richard McCullough RM:  What is your view of definitions? A recurring question, always worth some thought, so I added my earlier comment to a long-running series on my blog concerned with Definition and Determination. Definition and … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Definition and Determination : 15

Re: Ontolog Forum Discussion In some early math course I learned a fourfold scheme of Primitives (undefined terms), Definitions, Axioms, and Inference Rules.  But later excursions tended to run the axioms and definitions together, speaking for example of mathematical objects … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment