A final exam for this course will be scheduled by the registrar. Details will be posted on the course website as they become available.
Lecture #  Date  topics covered  reading/resources/comments 
1  05/09/23  Course introduction, equinumerosity  Chapter 2 from textbook 
2  07/09/23  equinumerosity, continued  Chapter 2 
3  09/09/23  countability of the rationals, uncountability of the reals  Chapter 2 
4  12/09/23  Algebraic numbers, SchroderBernstein Theorem  Chapter 2 
5  14/09/23  Russell's paradox, first six axioms of ZFC  Chapter 3 
6  15/09/23  continued  Chapter 3 
7  19/09/23  ordered pairs, cartesian product  Chapter 4 
8  21/09/23  relations, cardinals, cardinal arithmetic.  Chapter 4 
9  23/09/23  Peano Systems. Properties, existence  Chapter 5 
10  26/09/23  The Recursion Theorem, uniqueness of Peano Systems  Chapter 5 
11  28/09/23  Arithmetic operations, the well ordering of the natural numbers  Chapter 5 
12  29/09/23  continued, Assignment #1 due 
Chapter 5 
13  03/10/23  well orderings  Chapter 7 
14  05/10/23  well orderings  Chapter 7 
15  06/10/23  transfinite recursion, Assignment #2 due (deadline extended to 10/10/23)  Chapter 7 
16  17/10/23  midterm test  
17  19/10/23  transfinite recursion  Chapter 7 
18  20/10/23  Comparability of well orderings  Chapter 7 
19  24/10/23  Hartog's theorem  Chapter 7 
20  26/10/23  Hartog's theorem, The axiom of choice  Chapter 8 
21  27/10/23  The axiom of choice, Assignment #3 due  Chapter 8 
22  31/10/23  The axiom of choice  Chapter 8 
23  02/11/23  The axiom of choice  Chapter 8 
24  03/11/23  Choice's consequences  Chapter 9 
25  07/11/23  Cardinal arithmetic  Chapter 9 
26  09/11/23  best well orders, CxC = C in cardinality, cardinal arithmetic  Chapter 9 
27  10/11/23  Konig's Theorem, assignment #4 due  Chapter 9 
28  14/11/23  No class today  
29  16/11/23  Axiom of Replacement  Chapter 11 
30  17/11/23  Axiom of Foundation, Writing Project topic due today  Chapter 11 
31  21/11/23  ordinals 
Chapter 12 
32  23/11/23  ordinals 
Chapter 12 
33  24/11/23  cardinals 
Chapter 12 
34  28/11/23  cardinals, cumulative hierarchy 
Chapter 12 
35  30/11/23  cumulative hierarchy 
Chapter 12 
36  01/12/23  no class today 

37  05/12/23  Kieran's lecture, course wrap up, writing
project due 