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Metmathematics I

Math 502/Phil 596

Fall 2005

Course Meeting: 10:00 MWF 302 AH
Call Number: 22685/23110
Instructor: David Marker
Office: 411 SEO
Office Hours: M,W: 11-12, F:8:30-10:00
phone: (312) 996-3069
course webpage:


A first graduate course in mathematical logic. We will introduce the fundamental themes of mathematical logic (truth, provability, and computability), discuss their interconnections and examine the power and limits of formal methods. Godel's Incompleteness Theorem will be discussed in Math 503 in Spring semester. The sequence Math 502-503 leads to the logic prelim.


For this course I will not be closely following any text.
The treatment of material at the begining of the course on structures, truth and formal proofs will be similar to the treatment in Ebbinghaus-Flum-Thomas.
The treatment of computability will closely follow Cutland.

The bookstore told me they were having trouble with Ebbinghaus-Flum-Thomas. I have asked them to order the replacement Shoenfield is a classic text in the subject covering a great deal of interesting material with wonderful problems.
Unfortunately, in some aspects it is old-fashioned and the notation can be very cumbersome. My presentation of material will not closely follow Shoenfield.

I will circulate lecture notes.


Graduate standing. No previous background in logic is assumed. As many examples will come from Algebra, Math 516 is a useful corequisite.


I will give out about 8 problem sets. You may work together on homework problems (and I encourage you to do so), but when you turn in the problem you should acknowledge that you have worked together. There will probably be a one hour final exam, possibly oral, testing basic concepts, definitions, and statements of theorems.

Lecture Notes

Homework Assignments

Last updated 11/22/05