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Math 582, Introduction to Set Theory
Winter 1999
Peter Selinger

Course Information

See the updated Course Information Sheet.

Announcements

Thank you! I enjoyed this class a lot. Please come pick up your final exams from me either on Tuesday April 27, or else after May 5. Solutions to the final exam are posted below.

Homework Assignments

Problem Set 1: Due Friday, Jan 15. Chapter 1, Problems 4, 5; Chapter 2, Problems 8, 9. I also recommend Problems 2-7 in Chapter 2 for practice, but you don't have to hand those in.
Answers: DVI, PostScript, PDF.
Problem Set 2: Due Friday, Jan 22. Chapter 2, Problems 12, 16, 17, 19, 20, 23; Chapter 3, Problems 1,2.
Answers: DVI, PostScript, PDF.
Problem Set 3: Due Friday, Jan 29. Chapter 3, Problems 8, 9, 11, 15, 29, 30.
Answers: DVI, PostScript, PDF. (Revised 2/1/99)
Problem Set 4: Due Friday, Feb 5. Chapter 3, Problems 34, 36, 41, 44, 45; Chapter 6, Problem 22 [or 18]; Chapter 7, Problem 1. Also do the three problems that appear on the (revised) answer sheet to Problem Set 3.
Answers: DVI, PostScript, PDF.
Problem Set 5: Due Friday, Feb 12. Chapter 4, Problems 2, 3, 4, 6, 8, 9, 13, 17.
Answers: DVI, PostScript, PDF.
Problem Set 6: Due Monday, Feb 22. Chapter 4, Problems 19, 20, 26, 37; Chapter 5, Problems 1, 2, 3, 7.
Answers: DVI, PostScript, PDF. (Revised 3/8/99)
Problem Set 7: Due Friday, March 12. Chapter 7, Problems 4, 5, 7, 8, 9. Also: give an alternative proof that AxB is a set, using the replacement axiom.
Answers: DVI, PostScript, PDF. (Revised 3/23/99)
Problem Set 8: Due Monday, March 29. Chapter 7, Problems 11, 14, 16, 17, 18.
Answers: DVI, PostScript, PDF.
Problem Set 9: Due Wednesday, April 7. Do the five problems from the following sheet: DVI, PostScript, PDF.
Answers: DVI, PostScript, PDF.
Problem Set 10: Due Monday, April 19. Read the handout "The Relative Independence of the Regularity Axiom", and do the problems. DVI, PostScript, PDF.
Answers: DVI, PostScript, PDF.

Handouts

What is a proof? (Jan 22). DVI, PostScript, PDF.

Solutions to the First Midterm. (Feb 12). DVI, PostScript, PDF.

Lecture Notes: Real Numbers. (Mar 8). DVI, PostScript, PDF.

Solutions to the Second Midterm. (Mar 19). DVI, PostScript, PDF.

Lecture Notes: Well-Orders and Ordinals. (Mar 24). DVI, PostScript, PDF.

The Relative Independence of the Regularity Axiom. (Apr 9). DVI, PostScript, PDF.

Solutions to the Final Exam. (Apr 26). DVI, PostScript, PDF.



To Peter Selinger's Homepage: [home]
Peter Selinger / Department of Mathematics and Statistics / Dalhousie University
selinger@mathstat.dal.ca / PGP key
Updated Apr 26, 1999