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Unformatted text preview: 1.3 Truth Table Introduction • The truth value of a statement is the classification as true or false which denoted by T or F. • A truth table is a listing of all possible combinations of the individual statements as true or false, along with the resulting truth value of the compound statements. 1.3.1 The Negation ∼ p • If the statement p is true, the negation of p, i.e. ∼ p is false. • If the statement p is false, then ∼ p is true. Table 1.1: Truth Table for ∼ p p ∼ p Example 1: Table 1.2: symbol statement truth value p The number 9 is odd. ∼ p 1.3.2 The Conjunction p ∧ q Example 2: p: The weather is wet. q: The weather is windy. p ∧ q: The weather is wet and windy. Table 1.3: Truth Table for p ∧ q p q p ∧ q 11 1.3.3 The Disjunction p ∨ q Example 3: p: John is studying. q: John is at the library. p ∨ q : John is at the library or John is studying. p ∨ q indicates three possibilities: 1. John is studying at the library....
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This note was uploaded on 02/05/2012 for the course MAT 110 taught by Professor Staff during the Summer '08 term at S. Alabama.
- Summer '08