Article
Maths in a minute: Gödel's incompleteness theorems
Find out about these important results that destroyed a mathematical dream.
Content about “ philosophy of mathematics
”
News story
Pure maths in crisis?
Proof is the essence of mathematics. But is the standard of proof in research maths really as high as mathematicians would like to believe?
Article
Intuitive mathematics
Can a mathematical object be said to exist if you can't construct it?
Article
Something from nothing?
If you can prove that a statement can't possibly be false, does this mean it's true?
Article
The unreasonable relationship between mathematics and physics
Can physics do for maths what maths has done for physics?
Collection
Do we live in a matrix?
Do we live in a matrix? What does physics tell us about reality? Are reality and information one and the same? Do things only exist if they are perceived? Find out some the answers to these fascinating questions.
Collection
What is impossible?
How understanding why something is impossible can often lead to deeper understanding, contemplations of philosophy and even new mathematics.
Article
The future of proof
Will computers ever replace human mathematicians?
Article
Why we want proof
What are mathematical proofs, why do we need them and what can they say about sheep?
Article
What is information?
Books, brains, computers — information comes in many guises. But what exactly is information?
Article
Made of maths?
Mathematics is incredibly good at describing the world we live
in. So much so that some people have argued that maths is not just a
tool for describing the world, but that the world is
itself a mathematical structure. Does his claim stand up to scrutiny?
Article
Computers, maths and minds
Most of us have a rough idea that computers are made up of complicated hardware and software. But perhaps few of us know that the concept of a computer was envisioned long before these machines became ubiquitous items in our homes, offices and even pockets.