Dr Bryan Roberts LAK 1.01

This course is available on the MSc in Economics and Philosophy, MSc in Philosophy and Public Policy, MSc in Philosophy of Science and MSc in Philosophy of the Social Sciences. This course is available as an outside option to students on other programmes where regulations permit.

There are no prerequisites for this course; it is accessible to students of all backgrounds.

One of the most surprising discoveries of 20th century physics is that enormous progress can be made by embracing our uncertainty, and modelling it using probabilistic techniques. This powerful thinking led to discoveries like the first evidence of the atomic hypothesis, that the matter is made of tiny atoms moving randomly about. It also paved the way for the discovery of quantum mechanics, our best theory of matter and energy. These techniques even spilled outside of physics, into places like the social and financial world, where similar techniques were applied.

This course is about some of the philosophical issues underlying the physics of uncertainty, and the kinds of issues they raise for the natural and social sciences.

Students in this course will explore some of the important conceptual and philosophical questions underlying physics and finance, like: How are assumptions about randomness compatible with observed forms of determinism? How is it possible to seek truth using statistical theories? What does it mean to be an atom? How does the quantum world differ from the everyday world? What explains why physical models have unexpected applications in finance? To what extent do such applications help to underpin how the prices of financial instruments are set?

This course will proceed at a conceptual level that is suitable for students of all backgrounds: no background in physics is needed, and there is no advantage to having one.

10 hours of lectures and 15 hours of seminars in the LT.

This year, some or all of this teaching will take place online.

Students will be expected to produce 1 problem sets and 1 other piece of coursework in the LT.

Weekly essential readings will be provided on Moodle, selected individually from various book chapters and journal articles. Some indicative readings include:

- Malkin, Burton G. A random walk down Wallstreet, excerpts.

- Norton, John D. Einstein for Everyone, Chapters 34-37 on Brownian motion and the origins of quantum theory.

- Weatherall, James O. The Physics of Wallstreet.

- Derman, E. My Life as a Quant. Excerpts.

Essay (100%, 3000 words) in the ST.