Mind
The impossible barber and other bizarre thought experiments
How inventing riddles has revealed the flaws in our grasp of reality
Features
Mathematics
This Turing machine should run forever unless maths is wrong
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Health
Why so much science research is flawed – and what to do about it
Features
Humans
The Man Who Knew Infinity fails to break the mathematical mould
Culture
Physics
New maths proof shows how to stack oranges in 24 dimensions
News
Humans
Graphene origami produced by world’s thinnest folds
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Physics
Fermat’s last theorem mathematician Andrew Wiles wins Abel prize
News
Mathematics
Mathematicians shocked to find pattern in ‘random’ prime numbers
News
Physics
Mathematicians play whack-a-mole in the endless infinity hunt
Features
Physics
Explanimator: Does infinity exist in the real world?
Our latest big ideas animation delves into the concept of infinity and whether it can be applied to physical reality
News
Humans
The maddeningly magical maths of John Dee
Culture
Technology
AI solves 100-hat puzzle used in Google job interviews
News
Humans
The End of Average tells us why we should discard a mean idea
Culture
Prime number with 22 million digits is the biggest ever found
News