Logic & Philosophy of Science

Course Description




Course:  LPS 105/205 C; Phil 105/205 C
Name:  Undecidability and Incompleteness
Description:  This is the continuation of a three quarter course. It will begin with an introduction to the formal theory of effective processes (including a discussion of Turing machines and recursive machines), and then present proofs of the Church undecidability theorem for first-order logic, Tarski's theorem on the indefinability of first-order arithmetic truth, and the Gödel incompleteness theorems concerning formalizations of first-order number theory.