R A G Seely

My John Abbott Course Home Page.
Some books to read
My Principles of Maths and Logic course (for Liberal Arts students)
   Chapter 1 of my text for that course
The Liberal Arts at John Abbott
Logic, Category Theory, and Computation Seminar at McGill
Categorical and other meetings


The papers below are in PDF format.
(Some older ones are converted from ps.gz format, and may look "grainy" on-screen, but they should print well.)

Abstracts of (selected) papers are available, linked via the word "abstract".
A more complete list of publications is also on-line.
My reviews for Math Reviews
Google Scholar profile

What is Category Theory?

My Research Papers On-Line

LDC papers

Papers on linear structure

 Scirus Search JStor

Papers on CCP

Papers on Concurrent Constraint Programming

Other papers

Book Reviews

Maths and Category Theory Sites



My favorite quilt is The Penrose Quilt (by L.G. Clemens)
Other quilts

For comments or help, please contact
R.A.G. Seely  [ ]

What is now proved was once, only imagin'd.

"In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects with reproducible properties is called mathematics."
- Davis and Hersh (The Mathematical Experience, 1981)

Mathematics is the science which draws necessary conclusions.
- Benjamin Peirce (Linear Associative Algebra, 1870)

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduced to a Mathematical Reasoning; and when they cannot it's a sign our knowledge of them is very small and confused; and when a Mathematical Reasoning can be had it's as great a folly to make use of any other, as to grope for a thing in the dark, when you have a Candle standing by you.
- John Arbuthnot (Of the Laws of Chance, 1692)

The case for my life, then, or for that of any one else who has been a mathematician in the same sense in which I have been one, is this: that I have added something to knowledge, and helped others to add more; and that these somethings have a value which differs in degree only, and not in kind, from that of the creations of the great mathematicians, or of any other artists, great or small, who have left some kind of memorial behind them.
- G.H. Hardy (A Mathematician's Apology, 1940)

Let no man who is not a Mathematician read the elements of my work.
- Leonardo da Vinci (Notebooks, Introduction)
He who defames the supreme certainty of mathematics feeds on confusion.
- Leonardo da Vinci (Notebooks XIX, 1157)

"What is now proved was once, only imagin'd."
- William Blake (The Marriage of Heaven and Hell, 1790)

Pale Blue DotA Pale Blue Dot (from Carl Sagan)

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A thoroughly modern computer 
[And an explanation:   The original picture]