Category Archives: Mathematics

Icon Index Symbol • 5

Posted on April 14, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Helmut Raulien Given that sign relations are special cases of triadic relations, we can get significant insight into the structures of both cases by examining a … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , | 15 Comments

Icon Index Symbol • 4

Posted on April 14, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Helmut Raulien One thing I always say at these junctures is that people really ought to take Peirce’s advice and study his logic of relative terms … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , | 15 Comments

Icon Index Symbol • 3

Posted on April 10, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Kirsti Määttänen KM:  Seems valid to me.  But it does not answer the quest for understanding. The setup described in the previous post is the barest … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , | 16 Comments

Icon Index Symbol • 2

Posted on April 7, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) • Jon Alan Schmidt JAS:  What class of Sign is a law of nature? I’ve mentioned the following possibility several times before, but maybe not too recently. … Continue reading →

Posted in Abduction, Animata, C.S. Peirce, Deduction, Icon Index Symbol, Induction, Inquiry Driven Systems, Inquiry Into Inquiry, Logic, Logical Graphs, Pragmatic Semiotic Information, Reflective Interpretive Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , | 17 Comments

Icon Index Symbol • 1

Posted on April 6, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List • Jerry Rhee With regard to the main three types of signs — Icons, Indices, Symbols — Jerry Rhee asks: How best do you distinguish between these terms?  What settles … Continue reading →

Posted in Abduction, Animata, C.S. Peirce, Deduction, Icon Index Symbol, Induction, Inquiry Driven Systems, Inquiry Into Inquiry, Logic, Logical Graphs, Pragmatic Semiotic Information, Reflective Interpretive Frameworks, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , | 16 Comments

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 1

Posted on March 8, 2017 by Jon Awbrey

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the way these inferential rudiments combine to … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Animated Logical Graphs • 10

Posted on March 3, 2017 by Jon Awbrey

Re: Peirce List Discussion • Charles Pyle Let’s consider Peirce’s logical graphs at the alpha level, the abstract forms of which can be interpreted for propositional logic.  I say “can be interpreted” advisedly because the system of logical graphs itself … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

The Difference That Makes A Difference That Peirce Makes • 3

Posted on February 28, 2017 by Jon Awbrey

It was fifty years ago this month that I first came North to Michigan, prospecting for a college to enter in the Fall.  I reached East Lansing in the middle of what would later be regaled as the Blizzard of … Continue reading →

Posted in C.S. Peirce, Chemistry, Complementarity, Inquiry, Laws of Form, Logic, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Survey of Semiotic Theory Of Information • 2

Posted on February 27, 2017 by Jon Awbrey

This is a Survey of previous blog and wiki posts on the Semiotic Theory Of Information.  All my projects are exploratory in essence but this line of inquiry is more open-ended than most.  The question is: What is information and how … Continue reading →

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Epistemology, Fixation of Belief, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes • 2

Posted on February 8, 2017 by Jon Awbrey

Re: A Flash From The Past ⚡⚡⚡ My mind keeps flashing back to the days when I first encountered Peirce’s thought.  It was so fresh, it spoke to me like no other thinker’s thought I knew, and it held so … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Mathematics, Peirce, Philosophy, Pragmatism, Science, Scientific Method, Semiotics | Tagged , , , , , , , , , | Leave a comment