## philosophy

Why does time only ever move in one direction? We talk to philosophers of physics Jeremy Butterfield and David Wallace, as well as the eminent Roger Penrose about the puzzle time poses to physicists and what it has to do with the Big Bang and the second law of thermodynamics.

Is the Universe finite or infinite? Is there infinity inside a black hole? Is space infinitely divisible or is there a shortest length? We talk to philosophers and physicists to find out.

The 19th century experienced a geometrical revolution. Find out how the new geometries that were discovered shaped philosophy, science, culture and art.

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.

This article explores how Euclid's ancient geometry interacts with all aspects of human thought and life.

How understanding why something is impossible can often lead to deeper understanding, contemplations of philosophy and even new mathematics.

There's no doubt that maths is very good at describing the world around us. Could this be because the Universe we live in is itself a mathematical structure? We talk to Max Tegmark.

In this podcast we talk to Max Tegmark about his hypothesis that the Universe we live in is a mathematical structure.

Are number, space and time features of the outside world or a result of the brain circuitry we have developed to live in it? Some interesting parallels between modern neuroscience and the mathematics of 19th century mathematician Bernard Riemann.