__Nils Kürbis: Set Theory, King's College London, Autumn Term 2015__References to chapters, pages and exercises are to Herbert B Enderton:

*Elements of Set Theory*.

__Week 1__*Lecture*: Naïve Set Theory and Paradoxes, Axiomatic Set Theory and the Hierarchy of Sets

*Reading*: chapter 1

*Homework*: Exercises p.6f: 1-4, p.9: 5-7

**Week 2***Lecture*: Zermelo's Axioms for Set Theory

*Reading*: chapter 2 to p.26

*Homework*: Exercises, p.26: 1-10 (formative)

**Week 3***Lecture*: The Algebra of Sets, Ordered Pairs, Relations

*Reading*: chapter 2, p.27 to end, chapter 3 to p.42

*Homework*: Exercises p.32: 11, 14-22

__Week 4__*Lecture*: Functions

*Reading*: chapter 3, p.42-52

*Homework*: exercises p.33: 24, 25, p.38: 1, 3, 4, p.41: 6-9 (formative)

**Week 5***Lecture*: Indexed Operations, Equivalence Relations, Ordering Relations

*Reading*: chapter 3, p.54 to end

*Homework:*Homework: exercises p.52ff: 13-15, 18, 19, 21, 22, 26, 29, p.61: 32, 34, 36 (formative)

**Reading Week**

__Week 6__*Lecture*: The Natural Numbers

*Reading*: chapter 4, p.66-73

*Homework*: Catch Up

__Week 7__*Lecture*: The Recursion Theorem and Arithmetic

*Reading*: chapter 4, p.73-83

*Homework*: exercises p.70: 1, p.73: 2, 3, 6, p.78: 8, p.83: 13, 14, p.88: 21, 26, 28 (formative)

**Week 8***Lecture*: More Arithmetic

*Reading*: chapter 4, p.83-87

*Homework:*continued from week 7

**Week 9***Lecture*: The Cardinal Numbers

*Reading*: chapter 6, 128-144

*Homework*: exercises p.133: 5, p.138: 8, 9, p.144: 12, p.150f: 15, 16, 17, p.158: 18, 19, 23

__Week 10__*Lecture*: Ordering the Cardinals and the Axiom of Choice

*Reading*: chapter 6, 145-158