In these notes we discuss the canonical anticommutation relations, the C*-algebra associated with them (the CAR algebra), Fermionic second quantization, and the construction of KMS states for so-called free Fermi gasses. We only scratch the surface, but references are given for further study. These are unpolished notes supplementing one or two of the lectures given during a course on C*-algebras during the fall of 1998, and are offered "as is".