# Monthly Archives: January 2013

## Duality Indicating Unity • 1

Re: R.J. Lipton • Mathematical Tricks A formal duality points to a higher unity — a calculus of forms whose expressions can be read in two different ways by switching the meanings assigned to a pair of primitive terms. I … Continue reading

## Propositions As Types • 1

Re: R.J. Lipton • Mathematical Tricks One of my favorite mathematical tricks — it almost seems too tricky to be true — is the Propositions As Types Analogy.  And I see hints the 2-part analogy can be extended to a 3-part … Continue reading

## Riffs and Rotes • 1

Re: Richard J. Lipton • Making Primes More Random There’s a study called generalized primes which investigates in a more general way the relationship between arbitrary elements called primes and the composites which can be formed from them according to … Continue reading

## repetition wears on the human soul

repetition wears on the human soul

## Plato’s Puppet Returns

Re: Peter Cameron • Discovery and Invention Between the discovery and the invention, Falls the Shadow, who knows, you know, By tracking backward, retracing the steps Of the tourist, who comes not to conquer, But to enjoy the winding stair … Continue reading

## Triadic Relation Irreducibility • 2

Re: Peirce List • Matt Faunce • Jon Awbrey • Jon Awbrey 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 … Continue reading

## Triadic Relation Irreducibility • 1

The core insight of Peirce’s conceptual system is the recognition that triadic relations are sui generis, constituting a class by themselves.  Understanding the properties of triadic relations and the consequences of their irreducibility is critical to understanding Peirce’s thought and work.  … Continue reading

## Why am I writing this question? here? to you?

Why can’t I write the answer? here? for you?