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This course will consider philosophical topics in the foundations of physics, with an emphasis on cosmological issues. Entropy and the arrow of time -- why time has a direction, whether it can be explained in terms of entropy, and what role the arrow of time plays in causation and emergence. Anthropics and indexical uncertainty -- approaches to probability, reference classes, the cosmological multiverse, Boltzmann brains, simulation and doomsday arguments. Foundations of quantum mechanics -- the measurement problem, many-worlds, probability and structure, alternative approaches.