Category Archives: Thirdness

Peirce’s Categories • 3

Re: Peirce List Discussion Recent travels and other travails (dental work) have scattered my thoughts to the four winds, so let me just document a few bits from my current state of mind in case I can get back to … Continue reading

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Peirce's Categories, Phenomenology, Philosophy, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , | 3 Comments

Peirce’s Categories • 2

Re: Peirce List Discussion • J.B. Downard • G. Richmond • J. Collier According to Peirce, it is logic that draws on both mathematics and phenomenology. At any rate, Peirce takes the distinctive position that normative science, which includes logic, … Continue reading

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Peirce's Categories, Phenomenology, Philosophy, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , | 4 Comments

Peirce’s Categories • 1

Re: Peirce List Discussion • Jeffrey Brian Downard Just from my experience, the best first approach to questions of firstness, secondness, thirdness, and so on is to regard k-ness as the property that all k-adic relations possess in common.  There … Continue reading

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Peirce's Categories, Phenomenology, Philosophy, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , | 2 Comments

Relations & Their Relatives : 15

Re: Peirce List Discussion • Helmut Raulien Definitions and examples for relation composition and the two types of relation reduction that commonly arise can be found in the following articles: Relation Composition Relation Reduction A previous post on this thread … Continue reading

Posted in C.S. Peirce, Combinatorics, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives : 14

Re: Peirce List Discussion • Helmut Raulien Cf: Relation Reduction : Examples of Projectively Reducible Relations I constructed the “Ann and Bob” examples of sign relations back when I was enrolled in a Systems Engineering program and had to explain … Continue reading

Posted in C.S. Peirce, Combinatorics, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives : 13

Re: Peirce List Discussion • Helmut Raulien The facts about relational reducibility are relatively easy to understand and I included links to relevant discussions in my earlier survey of relation theory. The following article discusses relational reducibility and irreducibility in … Continue reading

Posted in C.S. Peirce, Combinatorics, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives : 12

Re: Peirce List Discussion • Jeffrey Brian Downard In viewing the structures of relation spaces, even the smallest dyadic cases we’ve been exploring so far, no one need feel nonplussed at the lack of obviousness in this domain.  Anyone who … Continue reading

Posted in C.S. Peirce, Combinatorics, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , | 3 Comments