Please find below the details of Thursday's talk.
Abstract: Kurt Gödel, in 1931, published a relatively short paper in German titled "Uber formal unentscheidbare sätze der Principia Mathematica und verwandter systeme" ("On formally undecidable propositions of Principia Mathematica and related systems"). This paper, published when he was only 25, went on to become one of the major milestones in the history of logic and mathematics. Even though this work can be best described as some negative results (in the sense that it proves the impossibility of proving certain important propositions in arithmetic), Harvard University, while awarding Gödel an honorary degree in 1952, cited his work as one of the most significant advances in logic in modern times.
In this talk, I will briefly go over the history and the concept of an axiomatic system, Peano's axioms for arithmetic, and then state and prove (time permitting) the Incompleteness Theorems.