Tag Archives: Dyadic Relations

Triadic Forms of Constraint, Determination, Interaction • 2

Posted on April 23, 2017 by Jon Awbrey

Re: Peirce List Discussion • Gary Richmond Here’s one way of stating what I call a constraint: The set is constrained to a subset of the set Here’s one way of stating a triadic constraint: The set is a subset … Continue reading →

Posted in C.S. Peirce, Constraint, Determination, Discovery, Dyadic Relations, Fixation of Belief, Inference, Information, Inquiry, Intentional Objects, Intentionality, Law of Nature, Logic, Logic of Science, Objects Objectives Objectivity, Peirce, Philosophy, Pragmata, Pragmatism, Scientific Inquiry, Semeiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Triadic Forms of Constraint, Determination, Interaction • 1

Posted on April 23, 2017 by Jon Awbrey

Re: Peirce List Discussion • JA • GR • JA • JBD There are many places where Peirce uses the word object in the full pragmatic sense, so much so that it demands a very selective attention not to remark … Continue reading →

Posted in C.S. Peirce, Constraint, Determination, Discovery, Dyadic Relations, Fixation of Belief, Inference, Information, Inquiry, Intentional Objects, Intentionality, Law of Nature, Logic, Logic of Science, Objects Objectives Objectivity, Peirce, Philosophy, Pragmata, Pragmatism, Scientific Inquiry, Semeiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The object of reasoning is to find out …

Posted on April 20, 2017 by Jon Awbrey

No longer wondered what I would do in life but defined my object. — C.S. Peirce (1861), “My Life, written for the Class-Book”, (CE 1, 3) The object of reasoning is to find out, from the consideration of what we already … Continue reading →

Posted in C.S. Peirce, Determination, Dyadic Relations, Fixation of Belief, Inference, Information, Inquiry, Intention, Intentional Contexts, Intentional Objects, Intentionality, Logic, Logic of Science, Objects Objectives Objectivity, Pragmata, Pragmatism, Purpose, Reasoning, Scientific Inquiry, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Survey of Relation Theory • 3

Posted on January 17, 2017 by Jon Awbrey

In this Survey of blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of … Continue reading →

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Relations & Their Relatives • Discussion 17

Posted on January 4, 2016 by Jon Awbrey

Re: Peirce List Discussion • HR We have been considering special properties that a dyadic relation may have, in particular, the following two symmetry properties. A dyadic relation is symmetric if being in implies that is in A dyadic relation is … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 12 Comments

Relations & Their Relatives • Discussion 16

Posted on December 22, 2015 by Jon Awbrey

Re: Peirce List Discussion • HR I would not want the dyadic case to detain us too long, as often happens when we frame a simple example for the purpose of illustration and then fail to rise beyond it. I … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 12 Comments

Relations & Their Relatives • Discussion 15

Posted on December 12, 2015 by Jon Awbrey

Re: Peirce List Discussion • HR The immediate task is to get clear about the critical relationship between relations as sets and elementary relations as elements of those sets.  What’s at stake is understanding the extensional aspect of relations.  Beyond … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 12 Comments

Relations & Their Relatives • Discussion 14

Posted on December 10, 2015 by Jon Awbrey

Re: Peirce List Discussion • GF • JBD • HR I think a few people are making this harder than it needs to be. Let’s put aside potential subtleties about elementary vs. individual vs. infinitesimal relatives and simply use “elementary … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 12 Comments

Relations & Their Relatives • Discussion 13

Posted on December 8, 2015 by Jon Awbrey

Re: Peirce List Discussions • (1) • (2) First off, we need to be clear about the difference between objects and signs: Relations are formal objects of discussion and thought while relative terms are signs employed to denote relations.  (The … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 11 Comments

Survey of Relation Theory • 2

Posted on November 30, 2015 by Jon Awbrey

In this Survey of blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of … Continue reading →

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | 3 Comments