Many mathematical problems being studied under computational complexity theory upon a closer look appear to seek answers to profound philosophical questions which have been debated for centuries. This course discusses how complexity theory convincingly resolves some philosophical questions by mathematically formulating the problems and their proofs, and how a resolution of many open problems in complexity theory could shed light on their philosophical counterparts. To make the 1 hour class accessible to students, the discussion about complexity theory shall be high level with minimal mathematical rigor.