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Why maths, our best tool to describe the universe, may be fallible

Why maths, our best tool to describe the universe, may be fallible

10 January 2023

Our laws of nature are written in the language of mathematics. But maths itself is only as dependable as the axioms it is built on, and we have to assume those axioms are true


Octonions: The strange maths that could unite the laws of nature

Octonions: The strange maths that could unite the laws of nature

16 August 2022

Could a system of eight-dimensional numbers help physicists find a single mathematical framework that describes the entire universe?


Illustration of knots

How many knots exist? A new computing trick is untangling the answer

12 July 2022

Finding how many knots there are for a given number of string crossings was thought to be an impossibly complex task. Now, algorithm engineering is cracking it – and showing us how to solve other fiendishly intricate maths problems


A rethink of cause and effect could help when things get complicated

A rethink of cause and effect could help when things get complicated

25 May 2022

Some scientists insist that the cause of all things exists at the most fundamental level, even in systems as complex as brains and people. What if it isn't so?


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

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

25 April 2018

Awarded every four years, the Fields medals honour the brightest young mathematical talent. We look back at some of the most intriguing past winners


numbers artwork

Theorem of everything: The secret that links numbers and shapes

25 April 2018

For millennia mathematicians have struggled to unify arithmetic and geometry. Now one young genius could have brought them in sight of the ultimate prize


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