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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.
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Maths in a minute: Chomp
A game involving biscuits and maths — what could be better?
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Maths in a minute: The axioms of probability theory
Take a quick trip to the foundations of probability theory.
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Arithmetic billiards
Need to find the least common multiple or greatest common divisor of two numbers? A billiard table of the right proportions holds the answers!
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The maths of randomness
Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.
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The maths of randomness: universality
The second guiding principle in probability theory is more subtle – universality.
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The maths of randomness: symmetry
Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.