
Episode 29 - "Are numbers real?"
Steve and Christabel venture forth from Plato’s cave on this week’s quest, which is to find out whether numbers are real. On the way, Christabel learns a surprising amount about football, Steve confesses to some light Twitter fraud, and we all learn how a cult leader should choose their favourite numbers. The episode begins in Ancient Greece with Pythagorean mathematician, astronomer and cosmologist (who was definitely NOT an extraterrestrial) Theano of Croton, and with her golden ratio and her theorem of the harmony of numbers. Steve points out that according to his extensive knowledge of Numberblocks lore, the relationships between the number characters is sometimes anything but harmonious. Christabel compares mathematical Platonism with Aristotle’s extensional account of numbers with particular reference to Joan Kung’s analysis of The Third Man Argument. The duo then skip forward to the mid-sixties and to Linda Wetzel’s critique of Paul Benaceraf’s structuralist take on numbers. The episode ends on Penelope Maddy’s metametaphysical stance that questioning the reality of numbers is beside the point. So long as we can agree on facts like ‘two plus two equals four’ it doesn’t really matter whether these numbers are concretely real, ghostly abstract objects, or convenient fictions. Christabel concludes that even if she finds it hard to walk away from metaphysical puzzles like these, rejecting the question is an extremely chic position to take. Email us the impossible questions children ask you at philosophyplaydate@gmail.com Find Steve at https://drstevecross.squarespace.com Find Christabel at https://christabelcane.com/ Philosophy Playdate theme by Piers Cane