An expert on the philosophy of mathematics, Dr Jonathan Tallant, outlines some of the key arguments about whether or not numbers ACTUALLY EXIST? Exploring platonism, nominalism and fictionalism. Jonathan works in the University of Nottingham's Philosophy Department. Brady does more philosophy videos with Jonathan and the others at www.youtube.com/user/PhilosophyFile Jonathan talks about the philosophy of time in this one: www.youtube.com/watch?v=zw6hS_gy9MY Website: www.numberphile.com/ Numberphile on Facebook: www.facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Videos by Brady Haran