Category Archives: Logic

Theme One • A Program Of Inquiry 17

Posted on December 7, 2018 by Jon Awbrey

The move is all over but the unpacking, and the time looks ripe to pick up the following thread from last spring.  Here, by way of a quick refresher, are a few Tables from earlier discussions. Theme One • A … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Pragmatic Semiotic Information • Discussion 11

Posted on December 2, 2018 by Jon Awbrey

Re: Ontolog Forum • Ferenc Kovacs Re: Anja-Karina Pahl • Contradiction and Analogy as the Basis for Inventive Thinking One of the insights coming out of Peirce’s logical work is the fact that negative operations are more powerful than positive … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Pragmatic Semiotic Information • Discussion 10

Posted on November 20, 2018 by Jon Awbrey

Re: Ontolog Forum Artem Kaznatcheev posted an interesting discussion on his blog under the title “Models as Maps and Maps as Interfaces” that I saw as fitting under this head.  A reader of Peirce may recognize critical insights of pragmatic thought … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Indicator Functions • Discussion 1

Posted on October 10, 2018 by Jon Awbrey

Peter Smith, on his Logic Matters blog, asks the question, “What Is A Predicate?”, and considers a number of answers. There are of course other possible answers, and one I learned quite early on, arising very naturally in applying mathematical … Continue reading →

Posted in Boole, Boolean Functions, C.S. Peirce, Category Theory, Indication, Indicator Functions, Logic, Mathematics, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Set Theory, Venn Diagrams | Tagged , , , , , , , , , , , , | 1 Comment

{ Information = Comprehension × Extension } • Comment 8

Posted on October 8, 2018 by Jon Awbrey

So what is all this fuss about the relation between inquiry and signs, as analyzed in Peirce’s theories of their structure and function and synthesized in his theory of information? The best way I’ve found to see where the problem … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Differential Logic, Dynamic Systems, Tangent Functors • Discussion 2

Posted on October 5, 2018 by Jon Awbrey

Re: Cybernetic Communications • SU One thing that interests me here is the relation between narratives and navigation.  Navigation has to do with how we move through actual state spaces while narratives are the tales we tell about past adventures … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Information Theory, Inquiry Driven Systems, Intelligent Systems, Knowledge Representation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Systems, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

Pragmatic Semiotic Information • Discussion 9

Posted on October 4, 2018 by Jon Awbrey

Re: Ontolog Forum • JS I’ll be experiencing intermittent interruptions from now until the moving vans come and probably a while after but I’m hoping things will settle down by Thanksgiving. For the moment I’ll simply post a few links … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

{ Information = Comprehension × Extension } • Comment 7

Posted on October 3, 2018 by Jon Awbrey

One of the most tantalizing puzzles in Peirce’s work is the relation between his theory of inquiry and his theory of signs.  From the outset I found it useful to return to his early ventures where the two theories work … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

Differential Logic, Dynamic Systems, Tangent Functors • Discussion 1

Posted on October 1, 2018 by Jon Awbrey

Re: Cybernetics • Stuart Umpleby Susan and I just returned from our annual dramatic immersion in Stratford Ontario and the last play we saw was a playfully dramatic rendition of Milton’s Paradise Lost. That and the spectacular immorality play currently … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Information Theory, Inquiry Driven Systems, Intelligent Systems, Knowledge Representation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Systems, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Pragmatic Semiotic Information • Discussion 8

Posted on September 17, 2018 by Jon Awbrey

Re: Ontolog Forum • JS The concept of a triadic sign relation, in typical form where is the object domain (think universe of discourse) and and are domains of signs (think channels or languages) being used to talk and think … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Intention, Logic, Logic of Science, Mathematics, Measurement, Observation, Peirce, Perception, Phenomenology, Physics, Pragmatic Semiotic Information, Pragmatism, Probability, Quantum Mechanics, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments