BSM Set Theory — SET, Fall 2011.

Homepage of the course: http://www.renyi.hu/~soukup/set_11f.html

Instructor: Dr. Lajos SOUKUP
Homepage: http://www.renyi.hu/~soukup

Text: The course is based on handouts

Books: P. Hamburger, A. Hajnal: Set Theory
K. Kunen: Set Theory, Chapter 1.
T. Jech: Set Theory, Chapters 1--6.
K. Ciesielski: Set Theory for the Working Mathematician

Prerequisite: Some familiarity with "higher" mathematics. No specific knowledge is expected.

Course description
The goal of the course is threefold:

• we get an insight how set theory can serve as the foundation of mathematics,
• we learn how to use set theory as a powerful tool in algebra, analysis, and even geometry,
• we study how to build up a rich mathematical theory from simple axioms.
Grading: Homework assignments: 40%, midterm exam: 20%, final exam: 40%.
A: 80-100%, B: 60-79%, C: 40-59%, D: 30-39%

Homeworks are distributed and collected on ....

Topics:

• Naive set theory: general principle of comprehension, due to Frege (1893):
If P is a property then there is a set Y={X:P(X)} of all elements having property P.