Tag Archives: Learning Theory

Theme One Program • Jets and Sharks 1

Posted on August 25, 2022 by Jon Awbrey

It is easy to spend a long time on the rudiments of learning and logic before getting down to practical applications — but I think we’ve circled square one long enough to expand our scope and see what the category … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | 4 Comments

Survey of Inquiry Driven Systems • 4

Posted on August 12, 2022 by Jon Awbrey

This is a Survey of blog and wiki resources on Inquiry Driven Systems, material I plan to refine toward a more compact and systematic treatment of the subject. An inquiry driven system is a system having among its state variables … Continue reading →

Posted in Abduction, Action, Adaptive Systems, Aristotle, Artificial Intelligence, Automated Research Tools, Change, Cognitive Science, Communication, Cybernetics, Deduction, Descartes, Dewey, Discovery, Doubt, Education, Educational Systems Design, Educational Technology, Fixation of Belief, Induction, Information, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretation, Invention, Kant, Knowledge, Learning, Learning Theory, Logic, Logic of Science, Mathematics, Mental Models, Peirce, Pragmatic Maxim, Pragmatism, Process Thinking, Scientific Inquiry, Semiotics, Sign Relations, Surveys, Teaching, Triadic Relations, Visualization | Tagged Abduction, Action, Adaptive Systems, Aristotle, Artificial Intelligence, Automated Research Tools, Change, Cognitive Science, Communication, Cybernetics, Deduction, Descartes, Dewey, Discovery, Doubt, Education, Educational Systems Design, Educational Technology, Fixation of Belief, Induction, Information, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretation, Invention, Kant, Knowledge, Learning, Learning Theory, Logic, Logic of Science, Mathematics, Mental Models, Peirce, Pragmatic Maxim, Pragmatism, Process Thinking, Scientific Inquiry, Semiotics, Sign Relations, Surveys, Teaching, Triadic Relations, Visualization | 5 Comments

Theme One Program • Discussion 9

Posted on July 4, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) (5) Re: Theme One Program • Discussion (7) (8) Re: Ontolog Forum • Alex Shkotin (1) (2) (3) Dear Alex, I know the material on sign relations I’ve been posting … Continue reading →

Theme One Program • Discussion 8

Posted on June 27, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) Re: Theme One Program • Discussion (7) Re: Ontolog Forum • Alex Shkotin (1) (2) Re: Logical Graphs • Animated Proofs AS: The animation is mesmerizing: I would watch and … Continue reading →

Theme One Program • Discussion 7

Posted on June 24, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) Re: Ontolog Forum • Alex Shkotin AS: As we both like digraphs and looking at your way of rendering, let me share my lazy way of using Graphviz on one … Continue reading →

Theme One Program • Exposition 5

Posted on June 23, 2022 by Jon Awbrey

Lexical, Literal, Logical Theme One puts cactus graphs to work in three distinct but related ways, called lexical, literal, and logical applications. The three modes of operation employ three distinct but overlapping subsets of the broader species of cacti. Accordingly we … Continue reading →

Theme One Program • Exposition 4

Posted on June 20, 2022 by Jon Awbrey

Parsing Logical Graphs It is possible to write a program that parses cactus expressions into reasonable facsimiles of cactus graphs as pointer structures in computer memory, making edges correspond to addresses and nodes correspond to records. I did just that … Continue reading →

Theme One Program • Exposition 3

Posted on June 17, 2022 by Jon Awbrey

Coding Logical Graphs My earliest experiments coding logical graphs as dynamic “pointer” data structures taught me that conceptual and computational efficiencies of a critical sort could be achieved by generalizing their abstract graphs from trees to the variety graph theorists … Continue reading →

Theme One Program • Exposition 2

Posted on June 16, 2022 by Jon Awbrey

The previous post described the elementary data structure used to represent nodes of graphs in the Theme One program. This post describes the specific family of graphs employed by the program. Painted And Rooted Cacti Figure 1 shows a typical example … Continue reading →

Theme One Program • Exposition 1

Posted on June 15, 2022 by Jon Awbrey

Theme One is a program for constructing and transforming a particular species of graph‑theoretic data structures, forms designed to support a variety of fundamental learning and reasoning tasks. The program evolved over the course of an exploration into the integration of … Continue reading →

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