proof

Should we allow mathematical proofs to  contain errors? We find out from  Avi Wigderson in our podcast series covering the European Congress of Mathematics 2024.

Find out how a story starting with the simple notion of counting ends in a revolutionary new way of doing maths that uses computers to harness the power of human collaboration!

How to sum an infinite series using chocolate.
In some sense, all of maths should come under the label "logic", and in this collection of articles we try to explain why.
When it comes to doing maths, a picture can be worth a thousand equations.
Why do mathematicians always want proof and what do they mean by it?
Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.
Proof is the essence of mathematics. But is the standard of proof in research maths really as high as mathematicians would like to believe?
Will sophisticated algorithms one day replace mathematicians?
The great thing about geometry is that you can sometimes prove things using pictures. Enjoy these three great visual proofs of Pythagoras' theorem!
If you can prove that a statement can't possibly be false, does this mean it's true?
Will computers ever replace human mathematicians?