What is propositional logic used for?, Translating languages, Analyzing arguments using symbols, Solving equations, Writing essays, What symbol represents a disjunction?, &, →, v, ~, What is the difference between exclusive and inclusive “or”?, Exclusive: both; Inclusive: neither, Exclusive: one only; Inclusive: one or both, Exclusive: always true; Inclusive: always false, No difference, When is a disjunction (p v q) false?, When p is true, When both p and q are false, When one is true, When both are true, Symbolize the statement: “The Republican did not win.”, p, q, ~q, p→ q, What is a conditional statement?, A statement using “and”, A statement using “or”, An “if–then” statement, A “because” statement, When is a conditional (p → q) false?, When p and q are both true, When p is false but q is true, When p is true and q is false, When both are false, Write the argument form of Modus Ponens., p → q, ~q ∴ ~p, p → q, p ∴ q, p v q, ~q ∴ p, ~p v q, q ∴ p, Write the argument form of Modus Tollens., p → q, p ∴ q, p v q, p ∴ q, p → q, ~q ∴ ~p, p → q, q ∴ p, Symbolize: “If it did not rain, then the game was not played.”, p & q, p v q, ~p → ~q, ~(p & q).

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