Category Archives: Animata

Logic Syllabus • Discussion 2

Posted on June 4, 2023 by Jon Awbrey

Re: Logic Syllabus Re: Laws of Form • John Mingers JM: Is [the “just one true” operator] the same or different to xor?  I have read that xor is true when an odd number of variables are true which would … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Logic Syllabus • Discussion 1

Posted on June 2, 2023 by Jon Awbrey

Re: Logic Syllabus Re: Laws of Form • John Mingers JM: In a previous post you mentioned the minimal negation operator.  Is there also the converse of this, i.e. an operator which is true when exactly one of its arguments … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 1 Comment

Survey of Differential Logic • 5

Posted on April 25, 2023 by Jon Awbrey

This is a Survey of work in progress on Differential Logic, resources under development toward a more systematic treatment. Differential logic is the component of logic whose object is the description of variation — the aspects of change, difference, distribution, … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Frankl Conjecture, Functional Logic, Gradient Descent, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Surveys, Time, Topology, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Theme One Program • Discussion 10

Posted on April 17, 2023 by Jon Awbrey

Re: Mathstodon • Seamus Bradley SB: I thought of a programming language where every function can only return one type:  the return type.  The return type is just a wrapper around a struct that contains the actual return value, but … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Survey of Theme One Program • 5

Posted on March 30, 2023 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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Survey of Animated Logical Graphs • 5

Posted on March 28, 2023 by Jon Awbrey

This is a Survey of blog and wiki posts on Logical Graphs, encompassing several families of graph-theoretic structures originally developed by Charles S. Peirce as graphical formal languages or visual styles of syntax amenable to interpretation for logical applications. Beginnings Logical Graphs … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Constraint Satisfaction Problems, Differential Logic, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

In the Way of Inquiry • Objections to Reflexive Inquiry

Posted on February 5, 2023 by Jon Awbrey

Inquiry begins when an automatic routine or normal course of activity is interrupted and agents are thrown into doubt concerning what is best to do next and what is really true of their situation.  If this interruptive aspect of inquiry … Continue reading →

Posted in Animata, C.S. Peirce, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Semiotics | Tagged , , , , , , | Leave a comment

In the Way of Inquiry • Reconciling Accounts

Posted on January 24, 2023 by Jon Awbrey

The Reader may share with the Author a feeling of discontent at this point, attempting to reconcile the formal intentions of this inquiry with the cardinal contentions of experience.  Let me try to express the difficulty in the form of … Continue reading →

Posted in Animata, C.S. Peirce, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Semiotics | Tagged , , , , , , | Leave a comment

In the Way of Inquiry • Material Exigency

Posted on January 20, 2023 by Jon Awbrey

Our survey of obstacles to inquiry has dealt at length with blocks arising from its formal aspects.  On the other hand, I have cast this project as an empirical inquiry, proposing to represent experimental hypotheses in the form of computer … Continue reading →

Posted in Animata, C.S. Peirce, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Semiotics | Tagged , , , , , , | 1 Comment

In the Way of Inquiry • Formal Apology

Posted on January 12, 2023 by Jon Awbrey

Using form in the sense of abstract structure, the focus of my interest in this investigation is limited to the formal properties of the inquiry process.  Among its chief constituents are numbered all the thinking and unthinking processes supporting the … Continue reading →

Posted in Animata, C.S. Peirce, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Semiotics | Tagged , , , , , , | Leave a comment