if i thought you were listening, i'd never say a word

Want to know why I decided to spare you Category Theory? Watch this: Intuitively it makes sense to me: sets have no structure and all pos...

I have been threatening to do a series on category theory, and you may imagine long hours of researching and emerging insights, followed by ...

For quite some time I have been working on an essay on the philosophy of mathematics. It's gone through many changes since I first start...

That would be Doctor Angela to you, though she’s working in the private sector. She has a mug with a proton on one side and a hydrogen ion ...

I know what you're thinking. What does he get up to that stops him posting promptly and prolifically? I wish it had something to do with...

I still think there's something odd about APS-C cameras. 'Odd' means 'It doesn't quite do what my old full-frame film ca...

Electro-magnetism (E&M) is genuinely weird. Most people never find this out, because most people never go into electrical engineering or...

Off in another part of my thoughts, which have been on hold for a while, I have been trying to work out some ideas on the philosophy of math...

(This expands on some ideas I touched on in the post about the single-event probability fallacy. If you have a sense of deja vu, that’s ...

Suppose you and I are going to play a co-operation game. There are many strategies for these, but the most beneficial is tit-for-tat: start ...

The Monty Hall problem is back in the news, or at least the weekend edition of the Financial Times , again, I think because Monty Hall died ...

This appeared in the Guardian recently. The problem: two closed boxes, A and B, are on a table in front of you. A contains £1,000. B conta...

Why doesn't the Hamiltonian (operator) live in the suburbs? Because it doesn't like to commute! (Boom-tish!) We're here al...

A very long time ago, I began a project to understand the modern theory of algebraic geometry, and specifically the proof of the Riemann-Roc...

Piper Harron is a black woman who feels oppressed by mathematics. She has a PhD from Princeton and is married to a mathematics professor a...

I’ve had the Univalent Foundations Program’s book on Homotopy Type Theory on my to-read list for quite a while after reading about the proj...

The Guardian had another "tough maths question" on Friday, to accompany an article about how the GCSE exam boards were being asked...

So this went viral this week. I hate these things. But I buckled down (at work!) and did it in 15 minutes. It helped to draw the dates...