bkim@yonsei.ac.kr Thursdays 2-4 pm or by appointments
Graduate students
We are aiming at proving Goedel`s Incompleteness Theorems. On the way, Propositional logic, First order (predicate) logic will be covered. The notions of truth, satisfaction, model, proof and Turing machine will be introduced too.
Elementary Set Theory
Course will be proceeded by lectures and presentations
Homeworks (4 or 5 times) and + presentation and else
-`A mathematical introduction to logic` by Herbert B. Enderton, 2nd Edn., Academic Press. -Lecture notes available at YSCEC or http://math.yonsei.ac.kr/bkim/ : Mathematical logic class note; Complete proofs of Goedel`s Incompleteness Theorems Complete proofs of Goedel`s incompleteness theorems.
Professor of Mathematics, Yonsei University http://math.yonsei.ac.kr/bkim/
Propositional Logic
Predicate Logic
Models and satisfaction
Completeness Theorem
Turing Machine
Godel`s Incompleteness Theorems