Do numbers exist?
Do numbers exist? with Dr Jonathan Tallant
Dr Jonathan Tallant discusses three different approaches to the tricky questions of whether numbers exist – Platonism, Nominalism, and Fictionalism. His talk shows us that mathematics is not a simple matter of objective knowledge that is always the same regardless of one’s perspective. Instead, its very nature – the existence (or not) of numbers – is disputed by several fundamentally different schools of thought.
How do we find out about numbers? with Mark Jago
Given that we generally find out about the world by having a physical causal interaction with it, and mathematics does not allow us to do this, Mark Jago explores the problem of how we find out about numbers. As he explains, such questions began to be asked in the early part of the twentieth century when paradoxes were discovered in mathematics.