The physics of observers
Harvey Friedman tells us about a mathematical movement called constructivism and why we need it.
We explore non-constructive proofs and what happens if you try and avoid them.
Physics is all about observation. But how much can we actually see with the naked eye?
The limits to what we can observe are not only a matter of science, but also of politics and economics.
Observing the smallest building blocks of matter doesn't involve seeing in the ordinary sense.
Physics is all about observation, but how much can we actually see?
If you can prove that a statement can't possibly be false, does this mean it's true?
There are limits to how much you can simultaneously squeeze the quantum fuzziness of an electron's position and momentum
We take the real numbers for granted, but what are they really?
Cosmology has an ambitious goal: to understand the Universe in its entirety. Find out more here.
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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.
In this podcast author Coralie Colmez shares insights into her novel The irrational diary of Clara Valentine.
We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!
Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.
Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.