# Category 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

## Finding a Needle in a Cactus Patch

Re: Sex, Lies, And Quantum Computers Don’t know much about quantum computation, but my ventures in graphical syntaxes for propositional calculus did turn up a logical operator whose evaluation process reminded me a little of the themes involved in the … Continue reading

## Infinite Uses → Finite Means

The idea that a language is based on a system of rules determining the interpretation of its infinitely many sentences is by no means novel. Well over a century ago, it was expressed with reasonable clarity by Wilhelm von Humboldt … 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

## The Present Is Big With The Future

Now that I have proved sufficiently that everything comes to pass according to determinate reasons, there cannot be any more difficulty over these principles of God’s foreknowledge. Although these determinations do not compel, they cannot but be certain, and they … 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

## Quotiens?

How many times do I repeat the same experience? Before I come to see it as the same experience?