Want some maths and want it fast? Our Maths in a minute series explores key mathematical concepts in just a few words. From symmetry to Euclid's axioms, and from binary numbers to the prosecutor's fallacy, learn some maths without too much effort.
The concept of homotopy is a great example of how the language of maths can make intuition precise.
How would you explain the natural numbers to an alien devoid of a number instinct? You could try Peano arithmetic...
Tea gone cold? Don't worry, you can cheer yourself up with the theory of thermodynamics.
How does your phone know what the weather's going to be like?
Wet cats don't cause umbrellas and umbrellas don't cause wet cats.
How good is your estimate?
When you let go of the notions of distance, area, and angles, all you are left with is holes.
