Comprehensive, but emphasizing material since 2nd hour exam (e.g., sets, functions,
relations, infinite sets, etc.)
Designed for 1 1/2 - 2 hours, you’ll have 2 1/2
Style and rules otherwise similar to hour exams, especially open references
ca 6 - 8 questions, including some proofs
Donuts and cider
SOFIs
11 responses (57.89%) as of this morning
Questions?
Problem set question 4b?
Case 1: b not in A. y < b. Suppose every a in A is ≤ y. Then y is better
controller for A (contradiction). So some a > y but ≤ controller b, i.e.,
y < a ≤ b
Case 2: b in A. Then a = b
Uncountable Sets
Section 9.3
Just what is the winning strategy in the dodgeball preview activity?
Player 2 picks opposite of what player 1 did on each column
Reals are uncountable
Contradiction to assumption reals are countable / counterexample for any claimed
surjection