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Mathematics


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Essay/
History of science
Mathematics as thought

Mathematical ideas are some of the most transformative and beautiful in history. So why do they get so little attention?

Mordechai Levy-Eichel

Essay/
Philosophy of science
Principia

Is it possible that, in the new millennium, the mathematical method is no longer fundamental to philosophy?

Jeremy Avigad

Essay/
Mathematics
The chords of the universe

It’s no surprise that mathematics has influenced music. But did you know that the influence goes both ways?

Eli Maor

Essay/
Physics
Radical dimensions

Relativity says we live in four dimensions. String theory says it’s 10. What are ‘dimensions’ and how do they affect reality?

Margaret Wertheim

Essay/
Mathematics
How natural is numeracy?

Where does our number sense come from? Is it a neural capacity we are born with — or is it a product of our culture?

Philip Ball

Essay/
Cognition and intelligence
Our world outsmarts us

Social problems are fantastically complex, while human minds are severely under-engineered. Is democracy doomed?

Robert A Burton

Essay/
Logic and probability
Philosophy tool kit

Thinking like a philosopher need not be a strange and arcane art, if you get started with these tricks of the trade

Alan Hájek

Essay/
History of ideas
Infinity and beyond

Georg Cantor showed that some infinities are bigger than others. Did he assault mathematical wisdom or corroborate it?

A W Moore

Essay/
Mathematics
How to play mathematics

The world is full of mundane, meek, unconscious things embodying fiendishly complex mathematics. What can we learn from them?

Margaret Wertheim

Essay/
Logic and probability
What is logic?

Is logical thinking a way to discover or to debate? The answers from philosophy and mathematics define human knowledge

Catarina Dutilh Novaes

Essay/
Mathematics
Future tension

Facts about the past and present are either true or false. Can knowledge of the future offer the same degree of certainty?

Anthony Sudbery

Essay/
Mathematics
The problem with p-values

Academic psychology and medical testing are both dogged by unreliability. The reason is clear: we got probability wrong

David Colquhoun