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The Nature of Logic
2 A Note on Deduction
Twelve Valid Argument Forms
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abbreviated truth table absurdum method affirming the consequent antecedent argument of Example Aristotelian logic Aristotle Aristotle was wise assumption atomic statements biconditional conclusion conditional method conditional proof conjunction construct a proof crows deductive argument definition Denying the Antecedent English statements ethical Euclidean geometry existentially quantified existentially quantified statement F F F F T F false fever following arguments formal proof functionally complete set Hence hypothetical conditional statement inclusive disjunction indicate instance instantiate invalid Jane is ill John Jones logically equivalent mammal marry means ment form method of proving molecular statement mortal Myra necessary condition negation P D Q Plato premise or premise premise set proof of validity prove the validity proving validity raining reductio ad absurdum second premise Socrates Spinach sufficient condition suggested notation sun is shining symbolic logic things aim tilde translated true truth values universally quantified statement valid argument form vitamin whale