Category Archives: Triadic Relations

Sign Relations, Triadic Relations, Relations • 4

Posted on June 21, 2018 by Jon Awbrey

The middle ground between relations in general and the sign relations we need to do logic, inquiry, communication, and so on is occupied by triadic relations, also called ternary or 3‑place relations. Triadic relations are some of the most pervasive … 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 , , , , , , , , , , , , , , | 18 Comments

Sign Relations, Triadic Relations, Relations • 3

Posted on June 20, 2018 by Jon Awbrey

At the wide end of the funnel, here’s an introduction to relations in general, focusing on the discrete mathematical variety we find most useful in applications, for example, as background for relational data bases and empirical data. Relation Theory • OEIS Wiki … 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 , , , , , , , , , , , , , , | 16 Comments

Sign Relations, Triadic Relations, Relations • 2

Posted on June 19, 2018 by Jon Awbrey

I always have trouble deciding whether to start with the genus and drive down to the species or else to start with concrete examples and follow Sisyphus up Mt. Abstraction. Soon after I made my 3rd try at grad school, this … 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 , , , , , , , , , , , , , , | 16 Comments

Sign Relations, Triadic Relations, Relations • 1

Posted on May 9, 2018 by Jon Awbrey

To understand how signs work in Peirce’s theory of triadic sign relations, also known as “semiotics”, we have to understand, in order of increasing generality, sign relations, triadic relations, and relations in general, all as conceived in Peirce’s logic of … 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 , , , , , , , , , , , , , , | 16 Comments

The Difference That Makes A Difference That Peirce Makes • 19

Posted on November 18, 2017 by Jon Awbrey

Re: Peirce List • John Sowa Peirce uses the word “formal” in a sense that gives it normative force.  It is this sense in which he defines logic as formal semiotic. But taking “formal” in a normative sense weighs against John … Continue reading →

Posted in C.S. Peirce, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Pragmatic Maxim, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , | 1 Comment

Ask Meno Questions • Discussion 4

Posted on October 19, 2017 by Jon Awbrey

Re: FB | Foundations of Mathematics • Oguzhan Kosar The questions raised under the heading of “Foundations of Mathematics” are generally considered to fall under the “Philosophy of Mathematics”, in particular, critical reflection on the possibility of mathematical knowledge and … Continue reading →

Posted in Anamnesis, Arete, C.S. Peirce, Descartes, Education, Epistemology, Eternal Return, Foundations of Mathematics, Infinity, Innate Idea, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Knowledge, Learning, Locke, Logic, Mathematics, Medium = Message, Meno, Peirce, Philosophy of Mathematics, Plato, Pragmata, Pragmatism, Pythagoras, Recollection, Semiotics, Sign Relations, Socrates, Tabula Rasa, Teaching, Triadic Relations, Turing Test, Virtue | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Sign Relational Manifolds • Discussion 1

Posted on October 10, 2017 by Jon Awbrey

Semiotic Orbits, Manifolds, Arcs The arc of the semiotic universe is long but it bends towards universal harmony. Re: FB | Semiotics, Books, Links, News • What’s at the End of a Chain of Interpretants? Semiotic manifolds, like physical and … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Icon Index Symbol • 17

Posted on May 9, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) (4) (5) • Helmut Raulien Our object being to clarify the relationships among icons, indices, and symbols, I believe the maximum benefit possible at this point is … 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 • 16

Posted on May 6, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List (1) (2) (3) (4) (5) • Jon Alan Schmidt • Helmut Raulien Having lost my train of thought due to a week on the road, I would like to go … 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 • 15

Posted on May 1, 2017 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs I put down the cup and turn to my mind.  It is up to my mind to find the truth.  But how?  What grave uncertainty, whenever the mind feels overtaken by itself;  when it, … 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