1. 3.3: Truth Tables

2. Types of Statements Negation: ~p Conjunction: p ˄ q (p and q) Disjunction: p V q (p or q, or both) Conditional: p → q (if p, then q) When are these statements true, or false?

3. Truth Table: Negation p~p TF FT p: I live in Honolulu ~p: I do not live in Honolulu

4. Truth Table: Conjunction pqp ˄ q TTT TFF FTF FFF 1.3 + 2 = 5 and London in in England. 2.3 + 2 = 5 and London is in France. 3.3 + 2 = 6 and London is in England. 4.3 + 2 = 6 and London is in France.

5. Truth Table: Disjunction pqp V q TTT TFT FTT FFF 1.3 + 2 = 5 and London is in England. 2.3 + 2 = 5 and London is in France. 3.3 + 2 = 6 and London is in England. 4.3 + 2 = 6 and London is in France.

6. Constructing Truth Table Construction a truth table for: ~(p ˄ q) pqp ˄ q~(p ˄ q) TTTF TFFT FTFT FFFT p: Harvard is a university. q: Yale is a university. ~(p ˄ q): It is not true that Harvard and Yale are universities. (true or false?)

7. Constructing Truth Table Construction a truth table for: ~(p V q) pqp V q~(p V q) TTTF TFTF FTTF FFFT p: Oahu is an island. q: Ripe mango is hard. ~(p V q): It is not true that Oahu is an island or that ripe mango is hard. (true or false?)