Category Archives: Zeroth Order Logic

Differential Logic • Overview

Posted on March 20, 2020 by Jon Awbrey

The previous series of blog posts on Differential Propositional Calculus brought us to the threshold of the subject without quite stepping over but I wanted to lay out the necessary ingredients in the most concrete, intuitive, and visual way possible … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Survey of Differential Logic • 2

Posted on February 8, 2020 by Jon Awbrey

This is a Survey of blog and wiki posts on Differential Logic, material I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Logic • Part 1 • Part 2 • Part 3 … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Survey of Animated Logical Graphs • 2

Posted on May 22, 2019 by Jon Awbrey

This is one of several Survey posts I’ll be drafting from time to time, starting with minimal stubs and collecting links to the better variations on persistent themes I’ve worked on over the years.  After that I’ll look to organizing … Continue reading →

Posted in Abstraction, Amphecks, Animata, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Constraint Satisfaction Problems, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Surveys, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 19 Comments

Differential Logic • Comment 1

Posted on December 21, 2017 by Jon Awbrey

Re: Gil Kalai • Pivotal Variables Just a tangential association with respect to logical influence and pivotability.  I have been exploring questions related to pivotal variables (“Differences that Make a Difference” or “Difference In ⟹ Difference Out”) via logical analogues … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Differential Analytic Turing Automata, Differential Logic, Discrete Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Logic, Logical Graphs, Logical Influence, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Pivotal Variables, Propositional Calculus, Propositional Equation Reasoning Systems, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

The Difference That Makes A Difference That Peirce Makes • 18

Posted on July 24, 2017 by Jon Awbrey

Re: Peter Smith • Which Is The Quantifier? From a functional logic point of view logicians slipped a step backward when they passed from Peirce’s and to the current convention of using and for logical quantifiers.  There’s a rough indication … 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

All Liar, No Paradox • Comment 1

Posted on August 2, 2015 by Jon Awbrey

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic, so it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value. … Continue reading →

Posted in C.S. Peirce, Epimenides, Foundations of Mathematics, Liar Paradox, Logic, Logical Graphs, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , | 11 Comments

All Liar, No Paradox

Posted on August 1, 2015 by Jon Awbrey

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic, so it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value.

Posted in C.S. Peirce, Epimenides, Foundations of Mathematics, Liar Paradox, Logic, Logical Graphs, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , | 14 Comments

Survey of Differential Logic • 1

Posted on May 11, 2015 by Jon Awbrey

This is a Survey of blog and wiki posts on Differential Logic, material I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Propositional Calculus • Part 1 • Part 2 Differential Logic … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Survey of Animated Logical Graphs • 1

Posted on May 10, 2015 by Jon Awbrey

This is one of several Survey posts I’ll be drafting from time to time, starting with minimal stubs and collecting links to the better variations on persistent themes I’ve worked on over the years.  After that I’ll look to organizing … Continue reading →

Posted in Abstraction, Amphecks, Animata, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Computational Complexity, Constraint Satisfaction Problems, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Surveys, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments