What are numbers? Do they exist? How can we know about them if they are not to be found in the familiar world of space and time that we inhabit? These are just some of the philosophical questions raised by the study of Mathematics. The relationship runs the other way too, Mathematics has helped formalise the study of logical argument that lies at the base of all good philosophy. So it is no surprise that some of the greatest philosophers (for example, Descartes, Leibniz, Frege and Russell) have been mathematicians too. By the end of this programme, you will be able to understand complex and demanding texts, reason intelligently and imaginatively about ethical, metaphysical, and epistemological issues, and have a grasp of the advantages and problems of a wide range of metaphysical and ethical views.