Category Archives: Algorithms

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 →

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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

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 →

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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Survey of Theme One Program • 4

Posted on June 12, 2022 by Jon Awbrey

This is a Survey of blog and wiki posts relating to the Theme One Program I worked on all through the 1980s.  The aim was to develop fundamental algorithms and data structures for integrating empirical learning with logical reasoning.  I … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 22 Comments

Icon Index Symbol • 20

Posted on January 11, 2021 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: FB | Semiotics, Books, Links, News • Jon Awbrey • Dalibor Lošťák JA: Icon, Index, Symbol and all other classifications are ideal types abstracted from concrete signs and there are no pure … Continue reading →

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Icon Index Symbol • 19

Posted on January 10, 2021 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List • Steven Skaggs SS: As far as visual semiotics is concerned, it is helpful to think of a “terrain” or map of a semantic mode territory in which of icon-index-symbol form … Continue reading →

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Icon Index Symbol • 18

Posted on January 8, 2021 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: FB | Semiotics, Books, Links, News • Muntadher Almahdawi Another one of those recurring questions just came up in a Facebook group devoted to Semiotics and I thought it would be useful … Continue reading →

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Problems In Philosophy • 12

Posted on November 10, 2020 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • The Night Of The Ethical Algorithm Re: K.W. Regan • The Election Night Time Warp Re: Ontolog Forum • John Sowa JFS: C.S. Peirce made a very clear and sharp distinction between formal … Continue reading →

Posted in Aesthetics, Algorithms, Animata, Automata, Beauty, C.S. Peirce, Ethics, Inquiry, Justice, Logic, Model Theory, Normative Science, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Problems In Philosophy • 11

Posted on November 9, 2020 by Jon Awbrey

Re: Problems In Philosophy 9 • Richard Saunders RS: BTW I’m not sure I really see a distinction between descriptive and normative (prescriptive?) science except in the set of aims, goals, etc. that are entertained.  It might be useful to try … Continue reading →

Posted in Aesthetics, Algorithms, Animata, Automata, Beauty, C.S. Peirce, Ethics, Inquiry, Justice, Logic, Model Theory, Normative Science, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Problems In Philosophy • 10

Posted on November 7, 2020 by Jon Awbrey

Re: Ontolog Forum • David Whitten DW: Why does classical tradition or any tradition consider logic to be a normative science? Dear David, A science is called that because it deals in knowledge (Latin scientia).  Knowing what is the case … Continue reading →

Posted in Aesthetics, Algorithms, Animata, Automata, Beauty, C.S. Peirce, Ethics, Inquiry, Justice, Logic, Model Theory, Normative Science, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , , , , , | 2 Comments

Problems In Philosophy • 9

Posted on November 5, 2020 by Jon Awbrey

Re: FB | Ecology Of Systems Thinking • Richard Saunders RS: Hume’s is/ought dichotomy:  are these as Gould said “non-overlapping magisteria” or are they concentric domains?  Is a science of aesthetics at the core?  If memory serves it seems like that … Continue reading →

Posted in Aesthetics, Algorithms, Animata, Automata, Beauty, C.S. Peirce, Ethics, Inquiry, Justice, Logic, Model Theory, Normative Science, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Summum Bonum, Truth, Virtue | Tagged , , , , , , , , , , , , , , , , , , , | 3 Comments