TY - BOOK AU - Manin, Yu. I. TI - A course in mathematical logic for mathematicians SN - 1441906142 U1 - 511.3 PY - 2010/// CY - New York PB - Springer KW - Logic KW - Model theory KW - Proof theory KW - Mathematics N1 - Provability Introduction to formal languages -- Truth and deducibility -- The continuum problem and forcing -- The continuum problem and constructible sets -- Computability Recursive functions and Church's thesis -- Diophantine sets and algorithmic undecidability -- Provability and computability Godel's incompleteness theorem -- Recursive groups-- Constructive universe and computation -- Model theory ER -