Tag Archives: Triadicity

Sign Relations, Triadic Relations, Relations • 6

Re: Ontolog Forum • Joseph Simpson Just by way of clarifying and emphasizing a few points — I use the word relation to mean a special type of mathematical object, namely, a designated subset included within a cartesian product of sets. … Continue reading

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Sign Relations, Triadic Relations, Relations • 5

Re: Ontolog Forum • Ravi Sharma I chose those examples of triadic relations to be as simple as possible without being completely trivial but they already exemplify many features we need to keep in mind in all the more complex … Continue reading

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Sign Relations, Triadic Relations, Relations • 4

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

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Sign Relations, Triadic Relations, Relations • 3

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

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

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

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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

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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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