a) Will this class be fun?
b) Next year the stock market will go up.
c) Three is a prime number.
d) Five is an even number.
e) She is shorter than 60 inches.
2) "A or B" questions:
If A is true and B is true, what truth value would you assign to A B?
If A is true and B is false, what truth value would you assign to A B?
If A is false and B is true, what truth value would you assign to A B?
If A is false and B is false, what truth value would you assign to A B?
3) "A implies B" Questions:
If A is true and B is true, what truth value would you assign to A B?
If A is true and B is false, what truth value would you assign to A B?
If A is false and B is true, what truth value would you assign to A B?
If A is false and B is false, what truth value would you assign to A B?
4) More "A implies B" Questions:
If A B is true and A is true, what truth value must B have?
(Therefore, we say "A is a for B")
If A B is true and B is false, what truth value must A have?
(Therefore, we say "B is for A")
5) Complete the following truth tables.
  |   | "conjunction" | "disjunction" | "implication" | "equivalence" |
  |   | "A and B" | "A or B" | "A implies B" | "A is equivalent to B" |
A | B | A B | A B | A B | A B |
T | T |   |   |   |   |
T | F |   |   |   |   |
F | T |   |   |   |   |
F | F |   |   |   |   |
Alternative Phrases |
"A also B" "A, but B" "A. In addition B" |
"A inclusive or B" | "If A, then B" "B follows from A" "A is a sufficient condition for B" "B is a necessary condition for A" "A only if B" |
"A if and only if B" "A iff B" "A is necessary and sufficient for B" | |
  |   |   |   |   |   |
Operand Names | "conjuncts" | "disjuncts" | "antecedent" "consequent" |
  |
7) For the following implication: "If it is snowing on Friday, then I will go for a walk on Friday."
a) What is the antecedent?
b) What is the consequent?
c) Reword the statement in the form "A is a sufficient condition for B."
d) Reword the statement in the form "B is a necessary condition for A."
8) Use a truth table to show that A B is equivalent to A (B').
A | B | A B | B' | A (B') |
T | T |   |   |   |
T | F |   |   |   |
F | T |   |   |   |
F | F |   |   |   |