Category Archives: Mathematics

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

Semiotics, Semiosis, Sign Relations • Discussion 1

Posted on April 29, 2019 by Jon Awbrey

Re: Semiotic Triangle • John Corcoran Concepts for Peirce are mental symbols, so they fall under the general designation of signs.  For triadic sign relations in general, then, we are dealing with a triadic relation among (1) objects of signs, … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 15 Comments

Abductive Inference, Concept Formation, Hypothesis Formation • 1

Posted on April 26, 2019 by Jon Awbrey

In pragmatic semiotics, concept formation like hypothesis formation falls under the heading of abductive inference.  A lot has been said and there’s a lot more to say about that, but things are too much in flux right now to allow … Continue reading →

Posted in Abduction, C.S. Peirce, Complexity, Concept Formation, Differential Calculus, Differential Logic, Dyadic Relations, Dynamical Systems, Dynamics, Geometry, Hypothesis Formation, Inference, Logic, Logic of Relatives, Mathematics, Peirce's Categories, Physics, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Signspiel • 1

Posted on April 17, 2019 by Jon Awbrey

Re: Ontolog Forum • John Sowa All sorts of players have given us all sorts of spiel about speech acts over the years but Peirce stands out from the chorus in giving us models of semiotic processes whose generation by triadic … Continue reading →

Posted in C.S. Peirce, Cybernetics, Logic, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , , | 4 Comments

Individuality, Identity, Teridentity • 1

Posted on March 31, 2019 by Jon Awbrey

Some problems cannot be solved in the paradigms where they first appear, which is why we keep recurring to them without quite freeing ourselves from the loops in which they ensnare us.  Questions about the supposed uniqueness of supposed individuals … Continue reading →

Posted in C.S. Peirce, Doctrine of Individuals, Icon Index Symbol, Identity, Individuality, Individuals, Logic, Logic of Relatives, Logical Atoms, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Teridentity, Triadic Relations | Tagged , , , , , , , , , , , , , , , | Leave a comment

Pragmatic Semiotic Information • Discussion 17

Posted on January 17, 2019 by Jon Awbrey

Re: Systems Science • Kent Palmer The best way to get a handle on what Peirce meant by his formula, is to study a suitable sample of critical passages from his Lectures of 1865–1866 on the Logic of Science.  The … 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

Pragmatic Semiotic Information • Discussion 16

Posted on January 16, 2019 by Jon Awbrey

Re: Systems Science • Kent Palmer As a general rule Peirce avoided in advance many of the problems bedeviling later philosophies of science in the 20th Century.  Doing so came rather naturally to him as he rarely succumbed to the … 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

Pragmatic Semiotic Information • Discussion 15

Posted on January 15, 2019 by Jon Awbrey

A Comprehensile Tale Here’s a gloss on “comprehension” I copied from Runes some years ago, plus a bit of commentary I added at the time. Comprehension.  The sum of characteristics which connote a class notion symbolized by a general term.  … 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

Pragmatic Semiotic Information • Discussion 14

Posted on January 14, 2019 by Jon Awbrey

Re: Information = Comprehension × Extension Re: Systems Science • Kent Palmer It may be useful to clear up a couple of technical points about Peirce’s terminology before getting to the main business. Here I’m using extension and intension in … 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

Pragmatic Semiotic Information • Discussion 13

Posted on January 13, 2019 by Jon Awbrey

Re: Survey of Pragmatic Semiotic Information Re: Ontolog Forum • Joseph Simpson I’ve been looking at the record of past discussions and thinking about what I’d like to accomplish this year.  Just off hand, I see a lot of discussion … 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