| Course: | LPS 105A/205A; Phil 105A/205A |
| Name: | Elementary Set Theory |
| Description: | This course is designed as an introduction to basic set theoretic notions and methods.
Material fundamental to mathematical logic and to a range of philosophical controversies
will be emphasized (e.g., ontological reduction, the axiomatic method, foundations and
philosophy of mathematics), along with the nature and structure of ordinary mathematical proof.
Text: Maddy, Logic for Philosophers Recommended Text: Enderton, Elements of Set Theory Course Requirements: There will be weekly problem sets, and midterm and final exams. Topics: 1. Sets and basic operations 2. The universe of sets 3. The axioms of Extensionality, Empty Set and Pairing 4. Ordered pairs 5. The axioms of Union, Power Set, and Separation 6. Relations 7. Orderings 8. Functions 9. The axiom of Choice 10. Natural numbers 11. Infinite numbers |