A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth–what mathematics is actually about–and discusses the views of Plato, Aristotle, Kant, Frege and Russell…

What are numbers? Is mathematics something discovered, or is it something invented or constructed by us? From the time of Plato onward, people have regarded mathematical truths as an ideal. Unlike ordinary, empirical truths, mathematical truths seem to be necessary, eternal, universal, incorrigible, and absolutely certain. This talk considers some of the ways in which philosophers have tried to account for the special nature of mathematical truth.

Ray Monk is a British philosopher well known for his writings on Wittgenstein, Bertrand Russell, and the physicist J. Robert Oppenheimer. This talk is part of the Philosophy Cafe series given at the University of Southampton.

You might also be interested in the following: https://www.youtube.com/watch?v=LhUcoCOX5JM and https://www.youtube.com/watch?v=xXD57a5BEO0

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