UC offers several degree programmes in Mathematics & Philosophy. The flagship BSc(Hons) Mathematics & Philosophy programme is designed to produce Honours graduates in Mathematics with a substantial background in Philosophy and an awareness of the connections between the two fields. There are also routes through Mathematics & Philosophy to double-major BA or BSc or to the double BA-BSc degrees. The intellectual training given by this combination of disciplines noted for their rigour will not only prepare graduates for postgraduate research in the philosophy and foundations of mathematics but also make them attractive to employers who value the ability to think and argue clearly. The interaction between Mathematics and Philosophy in the past 150 years has been far greater than at any previous time. Especially from 1907 to 1931 there was a serious, at times acrimonious philosophical debate among leading mathematicians, about the nature and practice of mathematics. In 1931, Kurt Gödel published two dramatic theorems that, by clearly pointing out the limitations of formal mathematics, revolutionised thinking about logic and the foundations of mathematics. Not long after that, the work of Turing and others opened up logical and philosophical questions about computability and the nature of the human mind. In the last fifty years, mathematical logic has had a surprising impact on areas such as analysis, where it has been shown that certain natural objects can be proved to exist only if we add, to the normal axioms of set theory, otherwise unmotivated, and provably independent, hypotheses.

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