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handout1 - ECS20 Handout 1 January 4, 2011 1. A proposition...

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Unformatted text preview: ECS20 Handout 1 January 4, 2011 1. A proposition is a statement that is either true (T) or false (F), but not both. Standard notation for a proposition: p , q , r , ... 2. New propositions, called compound proposition , are formed from existing propositions using logical operations 3. Four basic compound propositions: (a) Negation of p : p = It is not the case that p (b) Conjunction of p and q : p q = p and q (c) Disjunction of p and q : p q = p or q (inclusive or) (d) Exclusive disconjunction of p and q : p q = this is true either p or q but not both are ture Truth tables display the relationships between the true values of propositions: p p T F F T p q p q T T T T F F F T F F F F p q p q T T T T F T F T T F F F p q p q T T F T F T F T T F F F 4. The Implication p q is the proposition if p then q , p is called hypothesis , and q is called the conclusion ....
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handout1 - ECS20 Handout 1 January 4, 2011 1. A proposition...

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