Math 4LT3/6LT3 – Axiomatic Set Theory Winter 2008 Instructor: Bradd Hart Office: Hamilton Hall 218 Office hours: By appointment tel. extension: 23417 e-mail: [email protected] Meeting time: Currently Tuesdays 9:30 – 11:20 and Wednesday 9:30 – 10:20 but we will discuss these times in the first class. Textbook: An outline of set theory by James M. Henle; a copy is on reserve in Thode. Other reference material: There are quite a few axiomatic set theory books in existence and it would be a good idea to acquaint oneself with our library’s holdings. K. Kunen’s book “Set theory, an introduction to independence proofs” covers the material from this course in chapters 1 and 3. Many topology books contain some basic set theory; Munkres’ book “Topology”, used in Math 3T3, contains a chapter on set theory. Goals and objectives: 1. to appreciate axiomatic set theory as a subject in its own right; 2. to understand the role of axiomatic set theory plays in the foundations of mathematics; and, 3. to practice presenting and writing mathematics for your peers. Method of instruction: This course will run as a “problems” course i.e. the class will be divided into groups and groups will be assigned projects. The successful completion of these projects will constitute the content of the course. Each group will solve the problems in its project, write up solutions to these problems and present the solutions to the class. I will meet with each group weekly to make sure that all projects are on track. Groups must provide me with completed write-ups no later than 4:30 p.m. the day before their presentation. Each group will make 5 presentations in the term – roughly one every other week. There will be one in-class midterm written in the week of Mar. 10 and a takehome final scheduled during the exam period. Course evaluation: Projects Midterm Final 50% 20% 30% I reserve the right to change this marking scheme. I will inform everyone if I do and no change will adversely effect any students final mark. Academic Integrity You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity. Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: “Grade of F assigned for academic dishonesty”), and/or suspension or expulsion from the university. It is your responsibility to understand what constitutes academic dishonesty. For information on the various types of academic dishonesty please refer to the Academic Integrity Policy, located at http://www.mcmaster.ca/academicintegrity The following illustrates only three forms of academic dishonesty: 1. Plagiarism, e.g. the submission of work that is not one’s own or for which other credit has been obtained. 2. Improper collaboration in group work. 3. Copying or using unauthorized aids in tests and examinations.