Category Archives: Triadic Relations

Semiotics, Semiosis, Sign Relations • Discussion 1

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

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

Individuality, Identity, Teridentity • 1

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

Survey of Pragmatic Semiotic Information • 4

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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 30 Comments

Semiotics, Semiosis, Sign Relations • 3

For ease of reference, here are two variants of Peirce’s 1902 definition of a sign, which he gives in the process of defining logic. Selections from C.S. Peirce, “Carnegie Application” (1902) No. 12.  On the Definition of Logic Logic will … Continue reading

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 24 Comments

Semiotics, Semiosis, Sign Relations • 2

Here are links to more complete discussions of semiotics. Sign Relations • OEIS Wiki • Wikiversity The approach described here develops from what I regard as the core definition of triadic sign relations, one explicit enough to support a consequential … Continue reading

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 24 Comments

Semiotics, Semiosis, Sign Relations • 1

A first mention of semiotics (and cybersemiotics) in a discussion group gave me a chance to begin a fresh introduction to the subject.  I thought it might be useful to share that here. Here’s the intro to Semiotics I wrote … Continue reading

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 25 Comments

Survey of Semiotic Theory Of Information • 3

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

Sign Relations, Triadic Relations, Relations • 11

Re: Ontolog Forum • Ravi Sharma In pursuing applications of pragmatic semiotics to scientific research the following distinctions are crucial. We have the relational roles known as Object, Sign, and Interpretant Sign.  These are places or roles a thing may … Continue reading

Posted in C.S. Peirce, Inquiry, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , | 16 Comments

Sign Relations, Triadic Relations, Relations • 10

Re: Ontolog Forum • Ravi Sharma The words predicate, proposition, relation, and so on are affected by many variations in usage.  Some of their uses are associated with philosophical habits unlikely to change any time soon.  But there are a … Continue reading

Posted in C.S. Peirce, Icon Index Symbol, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , | 14 Comments