Category Archives: Dyadic Relations

Triadic Forms of Constraint, Determination, Interaction • 3

In the beginning was the three-pointed star, One smile of light across the empty face; One bough of bone across the rooting air, The substance forked that marrowed the first sun; And, burning ciphers on the round of space, Heaven … Continue reading

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Triadic Forms of Constraint, Determination, Interaction • 2

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

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 …

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

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Survey of Relation Theory • 3

In this Survey of previous 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 … Continue reading

Posted in Algebra, C.S. Peirce, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Logic, Logic of Relatives, Mathematics, Model Theory, Peirce, Proof Theory, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Teridentity, Thirdness, Triadic Relations, Triadicity, Type Theory, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Relations & Their Relatives : 20

Re: Peirce List Discussion • Helmut Raulien 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 … 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 , , , , , , , , , , | 2 Comments

Relations & Their Relatives : 19

Re: Peirce List Discussion • Helmut Raulien 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. … 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 , , , , , , , , , , | 2 Comments