# Tag Archives: Mathematics

## ⚠ 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

## What It Is

Re: Gil Kalai If I remember my long ago readings well enough, Jimmy the Ancient Greek could lay odds as well as any modern bookmaker on the outcomes of Olympic contests, but that was not really the point of Zeno’s … Continue reading

## Slip Slidin’ Away

Re: Zeno Proof Paradox And you give me the choice between a description that is sure but that teaches me nothing and hypotheses that claim to teach me but that are not sure. — Albert Camus • The Myth of … Continue reading

## Riffs and Rotes : 2

Re: Peter Cameron The interaction between addition and multiplication in the natural numbers has long been an interest of mine, leading to broader questions about the relationship between algebra and combinatorics. My gropings with these enigmas led me to the … Continue reading

## I Wonder, Wonder Who

Re: Who Invented Boolean Functions? The question recalls recent discussions of discovery and invention in the mathematical field, bringing back to mind questions I’ve wondered about for as long as I can remember. Speaking as an unreconstructed Platonic realist, I … 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

## The Difference That Makes A Difference That Peirce Makes : 1

Peircers, Being one who does not view Peirce’s work as a flickering foreshadowing of analytic philosophy, logical whatevism, or anything else you want to call it, but leans more to thinking of the latter philosophies as fumbling fallbacks losing what … Continue reading