### Top Posts

### Recent comments

### Blogroll

- Annoying precision
- Astronomy Picture of the Day
- Azimuth
- Bad science
- Bob Walters
- Coffee, love, and matrix algebra
- Computational semigroup theory
- DC's Improbable Science
- Diamond Geezer
- Exploring East London
- Gödel's lost letter and P=NP
- Gil Kalai
- Haris Aziz
- Intersections
- Jane's London
- Jon Awbrey
- LMS blogs page
- Log24
- London Algebra Colloquium
- London Reconnections
- Machines like us
- Marie Cameron's blog
- MathBlogging
- Micromath
- Neill Cameron
- neverendingbooks
- Noncommutative geometry
- numericana hall of fame
- Paul Goldberg
- Robert A. Wilson's blog
- Sheila's blog
- Since it is not …
- Spitalfields life
- Stubborn mule
- SymOmega
- Terry Tao
- The De Morgan Journal
- The London column
- The Lumber Room
- The matroid union
- Theorem of the day
- Tim Gowers
- XKCD

### Find me on the web

### Cameron Counts: RSS feeds

### Meta

# Category Archives: exposition

## Pseudofields, quasifields, near-domains

Here is a piece of evidence which those who think that mathematics is invented rather than discovered will like. This concerns definitions. I wrote last year about the definitions of a group, a matroid, the real numbers, and primitivity. In … Continue reading

## 10th birthday of MSG

Another event last week was the 10th anniversary talk in the Mathematics Study Group at South Bank University. This group was set up by Carrie Rutherford, whose photo is below (as well as a mathematician at South Bank, she is … Continue reading

## The Infinite Quest

In late May, I was in Hay-on-Wye at the How the Light Gets In festival. I talked about humanity’s engagement with infinity over the last few millennia, from Malunkyaputta’s questions to the Buddha and Aristotle’s disavowal of a completed infinity … Continue reading

Posted in events, exposition, history
Tagged Aristotle, Cantor, Galileo, Hay-on-Wye, Hilbert, How the light gets in, infinity, Institute for Arts and Ideas, Malunkyaputta
Leave a comment

## Regular polytopes, 3

In the last two posts on regular polytopes, I gave away something about my method of working. Although I have known about regular polytopes for a long time, I have never attempted to do research on them before. I find … Continue reading

## Picture of an isomorphism

We spent a very busy and enjoyable weekend with Hans Hockey, a statistician who lives in Hamilton, and his family. When we arrived, Hans showed me a picture he had taken, of the 81 SET cards laid out on a … Continue reading

Posted in exposition
Tagged affine space, coordinates, Hans Hockey, isomorphism, Set, Sudoku
Leave a comment

## Computational group theory, 2

If a group is presented to me (by one of the methods discussed in the preceding post, or as a black box), one of the first things I might want to know is “which group is it?” This presupposes that … Continue reading

## Computational group theory, 1

Computational group theory is the art or science of using a computer to learn something about a group. I was introduced to it by John Cannon in the early 1980s. It seems like a black art to many mathematicians (myself … Continue reading

Posted in exposition
Tagged Bill Kantor, black-box group, Laszlo Babai, permutation group, presentation
1 Comment