Category Archives: Logical Graphs

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

Theme One • A Program Of Inquiry : 13

Re: Laws Of Form Discussions • (1) • (2) • (3) Re: Peirce List Discussions • (1) • (2) • (3) Logical Cacti (cont.) The abstract character of the cactus language relative to its logical interpretations makes it possible to … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Computation, Computational Complexity, Cybernetics, Data Structures, Differential Logic, Form, Formal Languages, Graph Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Learning, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pragmatics, Programming, Propositional Calculus, Propositional Equation Reasoning Systems, Reasoning, Semantics, Semiotics, Spencer Brown, Syntax, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Theme One • A Program Of Inquiry : 12

Re: Laws Of Form Discussions • (1) • (2) • (3) Re: Peirce List Discussions • (1) • (2) • (3) Logical Cacti (cont.) The main things to take away from the previous post are the following two ideas, one syntactic … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Computation, Computational Complexity, Cybernetics, Data Structures, Differential Logic, Form, Formal Languages, Graph Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Learning, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pragmatics, Programming, Propositional Calculus, Propositional Equation Reasoning Systems, Reasoning, Semantics, Semiotics, Spencer Brown, Syntax, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Theme One • A Program Of Inquiry : 11

Re: Laws Of Form Discussions • (1) • (2) • (3) Re: Peirce List Discussions • (1) • (2) The portions of exposition just skipped over covered the use of cactus graphs in the program’s learning module to learn sequences … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Computation, Computational Complexity, Cybernetics, Data Structures, Differential Logic, Form, Formal Languages, Graph Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Learning, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pragmatics, Programming, Propositional Calculus, Propositional Equation Reasoning Systems, Reasoning, Semantics, Semiotics, Spencer Brown, Syntax, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Theme One Program • Discussion 1

Re: Laws Of Form Discussion • AM AM:  Why do you need XOR in your inquiry system? Clearly we need a way to represent exclusive disjunction, along with its dual logical equivalence, in any calculus capable of covering propositional logic, … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Computation, Computational Complexity, Cybernetics, Data Structures, Differential Logic, Form, Formal Languages, Graph Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Learning, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pragmatics, Programming, Propositional Calculus, Propositional Equation Reasoning Systems, Reasoning, Semantics, Semiotics, Spencer Brown, Syntax, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Theme One • A Program Of Inquiry : 10

Re: Laws Of Form Discussions • (1) • (2) • (3) Re: Peirce List Discussions • (1) • (2) Lexical, Literal, Logical Theme One puts cactus graphs to work in three distinct but related ways, called lexical, literal, and logical … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Computation, Computational Complexity, Cybernetics, Data Structures, Differential Logic, Form, Formal Languages, Graph Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Laws of Form, Learning, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pragmatics, Programming, Propositional Calculus, Propositional Equation Reasoning Systems, Reasoning, Semantics, Semiotics, Spencer Brown, Syntax, Theorem Proving | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment