News story
The Fields Medal 2018: Caucher Birkar
Caucher Birkar has been awarded the Fields medal for his contribution to algebraic geometry.
News story
The Fields Medal 2018: Peter Scholze
Peter Scholze has received the Fields medal 2018 for transforming arithmetic algebraic geometry.
Article
Constructivism: An expert's view
Harvey Friedman tells us about a mathematical movement called constructivism and why we need it.
Article
Spider solitaire
Spider solitaire is a popular online game. But are users right in their suspicion that some programs are rigged?
Article
How to tame uncertainty
How can we get a grip on the uncertainties in mathematical models?
Article
Intuitive mathematics
Can a mathematical object be said to exist if you can't construct it?
Article
What can we see?
Physics is all about observation. But how much can we actually see with the naked eye?
Article
What can we agree to look for?
The limits to what we can observe are not only a matter of science, but also of politics and economics.
Article
What can science see?
Observing the smallest building blocks of matter doesn't involve seeing in the ordinary sense.
Article
Maths in a minute: Truth tables
Introducing an indispensable tool of mathematical logic.
Article
Something from nothing?
If you can prove that a statement can't possibly be false, does this mean it's true?
Article
Heisenberg's uncertainty principle
There are limits to how much you can simultaneously squeeze the quantum fuzziness of an electron's position and momentum