Essay/ Economics The new astrology By fetishising mathematical models, economists turned economics into a highly paid pseudoscience Alan Jay Levinovitz

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

Essay/ Logic The mathematical world Some philosophers think maths exists in a mysterious other realm. They’re wrong. Look around: you can see it James Franklin

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/ Cognition & Intelligence Our world outsmarts us Social problems are fantastically complex, while human minds are severely under-engineered. Is democracy doomed? Robert Burton

Essay/ Logic 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/ Logic 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/ Beauty & Aesthetics Beauty ≠ truth Scientists prize elegant theories, but a taste for simplicity is a treacherous guide. And it doesn’t even look good Philip Ball

Essay/ Logic What are the chances? From a big lottery win to a disaster like the Titanic, unlikely stuff happens all the time. But can we summon it at will? David Hand

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

Video/ Philosophy of Science The elegance of mathematics meets the breathtaking complexity of nature 4 minutes

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/ Knowledge A drop in the sea What are the odds that Jesus rose or Moses parted the waves? Even with the best witnesses, vanishingly small Lawrence Shapiro

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

Video/ Physics The mathematics of music means piano strings can never be in perfect harmony 4 minutes

Essay/ Epidemiology The calculus of contagion In the battle against disease, the difference between a raging epidemic and a passing fever comes down to a single number Adam Kucharski

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

Video/ Beauty & Aesthetics Maybe I’m not even here, and other crazy, beautiful stuff physics told me 3 minutes

Video/ Mathematics Correlations can’t imply causation? Not so fast. A primer on causal networks 4 minutes

Video/ Mathematics Snowflake formulas, dice odds and other satisfying maths of the everyday 2 minutes

Video/ Mathematics Mesmerising fractals and space-filling curves give a window into infinity 3 minutes

Video/ Mathematics A brilliant ‘geometric ballet’ of sound, shape and symmetry on the theme of 180° 5 minutes

Video/ Beauty & Aesthetics Discover the secret geometry of beauty – the mathematics of form and pattern 4 minutes