Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

chapter 1|28 pages

Chapter 1 - The Diagonal Argument

chapter 2|38 pages

Chapter 2 - Ordinals

chapter 3|30 pages

Chapter 3 - Computability and Proof

chapter 4|22 pages

Chapter 4 - Logic

chapter 5|20 pages

Chapter 5 - Arithmetic

chapter 6|26 pages

Chapter 6 - Natural Unprovable Sentences

chapter 7|18 pages

Chapter 7 - Axioms of Infinity