Tag Archives: Knowledge Representation

Sign Relations, Triadic Relations, Relations • 8

Re: Ontolog Forum • FK Our thoughts live in natural and artificial languages the way fish swim in natural and artificial bodies of water. One of the lessons most strikingly impressed on me by my first year physics course and … Continue reading

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | Leave a comment

Inquiry Driven Systems • Comment 3

Re: Ontolog Forum • MDeB I remember Doug Medin from the year I was at Illinois and I recall a colloquium talk Frank Keil gave at Michigan State that intrigued me because he echoed ideas from Kant about the synthetic … Continue reading

Posted in C.S. Peirce, Cybernetics, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Knowledge Bases, Knowledge Representation, Learning, Logic, Peirce, Reasoning, Semiotics, Sign Relations, Systems Theory | Tagged , , , , , , , , , , , , , , | Leave a comment

Sign Relations, Triadic Relations, Relations • 7

Re: Ontolog Forum • JS JS: A binary relation is a set of ordered pairs of the elements of some other set. That is the first definition I learned for binary relations. Slightly more generally, a binary relation is a … Continue reading

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | Leave a comment

Sign Relations, Triadic Relations, Relations • 6

Re: Ontolog Forum • JS 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

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | Leave a comment

Sign Relations, Triadic Relations, Relations • 5

Re: Ontolog Forum • RS 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 cases … Continue reading

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | 1 Comment

Sign Relations, Triadic Relations, Relations • 4

Re: Ontolog Forum • Systems Science • Structural Modeling 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 … Continue reading

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | 1 Comment

Sign Relations, Triadic Relations, Relations • 3

Re: Ontolog Forum • Systems Science • Structural Modeling At the other end of the funnel, here’s an intro to relations in general, focusing on the discrete mathematical variety we find most useful in applications, for example, as background for … Continue reading

Posted in C.S. Peirce, Inquiry Driven Systems, Knowledge Representation, Logic, Logic of Relatives, Mathematics, Ontology, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , | Leave a comment