Peter Cave studied philosophy at University College London and King's College Cambridge. He has held lecturing posts in Khartoum and London; currently he is associate lecturer in philosophy for The Open University and City University, London, and has been invited to give lectures in various European universities.
Specialist topics include: philosophical paradoxes and absurdities; reasoning and fallacies in ethics, religion, politics and public life. He is involved in the media, most recently scripting and presenting a series of philosophical paradoxes for BBC Radio 4, set in a paradoxical fairground, and a BBC Radio 4 programme celebrating John Stuart Mill. He has taken part in many public debates concerning God and religious belief.

He is the current chair of the Humanist Philosophers. He gives talks, lectures, debates and publishes papers on a wide range of philosophical topics, often with a humorous content.

He is the author of Humanism: A Beginner's Guide, which BHA President Polly Toynbee described as "A book for our times", and of the best-selling Can a Robot Be Human? and What's Wrong with Eating People? - both books containing 33 puzzles about religious belief as well as about reasoning, logic, ethics and political themes. His most recent work is This Sentence Is False: an Introduction to Philosophical Paradoxes.

First broadcast on 2nd October 2009.