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Study in London
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Pre-arrival support
7AAN6021
7
Autumn
15
What is the subject matter of mathematics? Is it abstract mathematical objects, or can apparent facts about mathematical objects be reduced to facts about something else? Assuming we have knowledge of mathematical facts, how is this knowledge acquired? Despite being essential to the sciences (and often thought of as one of the sciences), the non-empirical nature of mathematics raises epistemological and metaphysical questions quite distinct from those that arise in, say, physics. This course will examine approaches to answering these questions, including varieties of Platonism, and various forms of nominalism. We’ll also take a close look at the role of mathematics in the sciences, with the aim of evaluating one of the key arguments in the debate between the Platonist and the nominalist: the indispensability argument.
Summative assessment: one 3,500-word essay (100%).
One weekly one-hour lecture and one weekly one-hour seminar.
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Please note that the module descriptions above are related to the current academic year and are subject to change.