Category Archives: Indicator Functions

The Difference That Makes A Difference That Peirce Makes : 18

Re: Peter Smith • Which Is The Quantifier? From a functional point of view it was a step backward when we passed from Peirce’s and to the current convention of and for logical quantifiers.  There’s a rough indication of what … Continue reading

Posted in C.S. Peirce, Category Theory, Complementarity, Duality, Formal Languages, Higher Order Propositions, Indicator Functions, Inquiry, Logic, Logic of Relatives, Logical Graphs, Mathematics, Peirce, Pragmatism, Predicate Calculus, Propositional Calculus, Propositions, Quantifiers, Relation Theory, Semiotics, Type Theory, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Survey of Theme One Program • 1

This is a Survey of previous blog and wiki posts on the Theme One Program that I worked on all through the 1980s. The aim of the project was to develop fundamental algorithms and data structures to support an integrated … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Automated Research Tools, Boolean Algebra, Boolean Functions, Cactus Graphs, Cognitive Science, Computation, Computational Complexity, Computer Science, Computing, Constraint Satisfaction Problems, Cybernetics, Data Structures, Diagrammatic Reasoning, Diagrams, Differential Analytic Turing Automata, Education, Educational Systems Design, Educational Technology, Equational Inference, Functional Logic, Graph Theory, Indicator Functions, Inquiry, Inquiry Driven Education, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Knowledge, Learning, Learning Theory, Logic, Logical Graphs, Machine Learning, Mathematics, Mental Models, Minimal Negation Operators, Painted Cacti, Peirce, Programming, Programming Languages, Propositional Calculus, Propositional Equation Reasoning Systems, Propositions, Research Technology, Semeiosis, Semiosis, Semiotics, Sign Relations, Surveys, Teaching, Theorem Proving, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Survey of Differential Logic • 1

This is a Survey of previous blog and wiki posts on Differential Logic, material that I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Propositional Calculus Architectonics Minimal Negation Operator Cactus Language … Continue reading

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Change, Computational Complexity, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Equational Inference, Frankl Conjecture, Functional Logic, Graph Theory, Hill Climbing, Hologrammautomaton, Indicator Functions, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Surveys, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Indicator Functions : 1

Re: Who Invented Boolean Functions? One of the things that it helps to understand about 19th Century mathematicians, and those who built the bridge to the 20th, is that they were capable of high abstraction — in Peirce’s case a … Continue reading

Posted in Boole, Boolean Functions, Euler, Indicator Functions, John Venn, Logic, Peirce, Propositional Calculus, Venn Diagrams | Tagged , , , , , , , , | Leave a comment