The main text for the course will be the following book:
Elements of Set Theory, by Herbert B. Enderton (San Diego: Academic Press, 1977)
The syllabus will consist of this book and the following shorter texts:
- Jon Barwise and Larry Moss. "Hypersets". The Mathematical Intelligencer 13:31-41, 1991.
- Paul Benacerraf. "What Numbers Could not Be". The Philosophical Review 74, 47-73, 1965.
- George Boolos. "The Iterative Conception of Set". The Journal of Philosophy 68, 215-231, 1971.
- George Boolos. "Gottlob Frege and the Foundations of Arithmetic". In his "Logic, Logic, and Logic”, Cambridge MA: Harvard University Press, 143-154, 1998.
- Penelope Maddy. "Sets and Numbers". Noûs 15, 495-511, 1981.
- Penelope Maddy. "Believing the Axioms. I". The Journal of Symbolic Logic 53, 481-511, 1988.
- Michael Potter. "Set Theory and its Philosophy" (pp. 138-140, 250-260). Oxford: Oxford University Press, 2004.
These, as well as optional further readings, will be made available via fronter.
For a more detailed description, see the Schedule.