Mathematics


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Music
Contrapuntal consciousness

The music of Bach is full of suggestive structures of counterpoint and recursion (even if Hofstadter got it quite wrong)

Ilari Kaila

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Mathematics
Social physics

Despite the vagaries of free will and circumstance, human behaviour in bulk is far more predictable than we like to imagine

Ian Stewart

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Knowledge
Knowledge is crude

Far from being a touchstone of the truth, knowledge is a stone-age concept that harms our dealings with the modern world

David Papineau

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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

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Philosophy of science
Principia

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

Jeremy Avigad

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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

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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

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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

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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

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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

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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