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Constructivism: An expert's view
Harvey Friedman tells us about a mathematical movement called constructivism and why we need it.
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Spider solitaire
Spider solitaire is a popular online game. But are users right in their suspicion that some programs are rigged?
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How to tame uncertainty
How can we get a grip on the uncertainties in mathematical models?
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Intuitive mathematics
Can a mathematical object be said to exist if you can't construct it?
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What can we see?
Physics is all about observation. But how much can we actually see with the naked eye?
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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.
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What can science see?
Observing the smallest building blocks of matter doesn't involve seeing in the ordinary sense.
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Maths in a minute: Truth tables
Introducing an indispensable tool of mathematical logic.
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Something from nothing?
If you can prove that a statement can't possibly be false, does this mean it's true?
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Heisenberg's uncertainty principle
There are limits to how much you can simultaneously squeeze the quantum fuzziness of an electron's position and momentum
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The real numbers and Cauchy sequences
We take the real numbers for granted, but what are they really?
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Citizen science: Schumann resonances
Resonant electromagnetic waves, created by lightning flashes, circle the Earth. Wim Hordijk explores the maths and shows how you can keep track with these phenomena.