Gödel Without (Too Many) Tears

Download or read book Gödel Without (Too Many) Tears written by Peter Smith and published by . This book was released on 2021-06-15 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel's famous First Incompleteness Theorem shows that for any sufficiently rich theory that contains enough arithmetic, there are some arithmetical truths the theory cannot prove. How is this remarkable result proved? This short book explains. It also discusses Gödel's Second Incompleteness Theorem. Based on lecture notes for a course given in Cambridge for many years, the aim is to make the Theorems available, clearly and accessibly, even to those with a quite limited formal background.