# Category Archives: Relation Theory

## ⚠ It’s A Trap ⚠

Re: Kenneth W. Regan The most common mathematical trap I run across has to do with Triadic Relation Irreducibility, as noted and treated by the polymath C.S. Peirce. This trap lies in the mistaken belief that every 3-place (triadic or ternary) … Continue reading

## Triadic Relation Irreducibility : 3

References Relation Theory MyWikiBiz PlanetMath Sign Relations MyWikiBiz PlanetMath Triadic Relations MyWikiBiz PlanetMath Relation Composition MyWikiBiz PlanetMath Relation Construction MyWikiBiz PlanetMath Relation Reduction MyWikiBiz PlanetMath Related Readings Notes on Peirce’s 1870 Logic of Relatives Interpretation as Action : The Risk … Continue reading

## Notes On Categories : 1

Continued from “Notes On Categories” (14 Jul 2003) • Inquiry List • Ontology List NB. This page is a work in progress. I will have to dig up some still older notes from the days of pen and paper before … Continue reading

## Château Descartes

But if we are to select those dimensions which will be of the greatest assistance to our imagination, we should never attend to more than one or two of them as depicted in our imagination, even though we are well … Continue reading

## Triadic Relation Irreducibility : 2

Peircers, Though my present object has more to do with the logical and mathematical aspects of triadic relations than it does with their psychological embodiments, the following exchange on the matter of consciousness from earlier last Fall keeps intruding on … Continue reading

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## Triadic Relation Irreducibility : 1

The core insight of Peirce’s conceptual system is the recognition that triadic relations are sui generis. Understanding the properties of triadic relations and the consequences of their irreducibility is critical to understanding Peirce’s thought and work. Every attempt to reconstruct Peirce’s … Continue reading

## Triadic Relations, Intentions, Fuzzy Subsets • Discussion 3

Re: Gary Moore Re: Stefan Berwing Peircers, I intend to get back to this subject as soon as possible but the dire political situation in my home state is once again eating up a lot of my time and energy, … Continue reading

## Triadic Relations, Intentions, Fuzzy Subsets • Discussion 2

Re: Stefan Berwing Stefan, Let us put fuzzy sets to one side for the moment and take up the matter of belief that you raised, as I believe that your making that connection is very perspicacious. As it happens, there … Continue reading

## Triadic Relations, Intentions, Fuzzy Subsets : 3

There is at present an extensive literature on fuzzy sets and fuzzy logic. I got another brush with the world of fuzzy back in the 1990s when I returned to grad school in a systems engineering program, partly because my … Continue reading

## Triadic Relations, Intentions, Fuzzy Subsets : 2

We imagine all the things we might want to talk about in a given discussion as collected together in a set X called a universe of discourse. (In probabilistic or statistical work it might be called a sample space.) By … Continue reading