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Dice

Physics

Mathematicians must be more prepared to test their truths

Mathematical proofs embody a Platonic ideal of eternal truth. Two major contested proofs this week show the need for more controversy, not less

Leader

Michael Atiyah

Physics

Riemann hypothesis likely remains unsolved despite claimed proof

News

Mathematics paper

Mathematics

Infinity war: The ongoing battle over the world's hardest maths proof

News

Michael Atiyah

Physics

Famed mathematician claims proof of 160-year-old Riemann hypothesis

News

Mathematician Caucher Birkar

Physics

Kurdish refugee wins the Fields medal - the biggest prize in maths

News

logic

Humans

How to think about... Logic

Features

Australia scores against Finland on 21 June 2018

Physics

More penalty shoot-outs needed to make future World Cups fairer

Comment

Walter Pitts

Life

How a frog’s eye robbed us of a genius’s AI masterwork

Features

Silhoutted person looking at stars

Space

I'm working on a universal language to let us speak to aliens

Comment

Watch the weird new solutions to the baffling three-body problem

Physics

Watch the weird new solutions to the baffling three-body problem

The three-body problem, which determines how objects orbit each other in space, is notoriously difficult to solve. Now there are 231 new valid orbits

News

Humans

The unfashionable genius of William de Morgan

Culture

Humans

Escher's Journey: there's more to this artist than his maths

Culture

Mathematics

7 mathematicians you should have heard of – but probably haven't

Features

Mathematics

Theorem of everything: The secret that links numbers and shapes

Features