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3x)(Fx v Gx alternation antecedent argument is valid atomic sentences Calcutta this afternoon Canonical Form conclusion conjunction contradiction DeMorgan's Theorem Disjunctive Syllogism Distribution Double Negation entity equivalent example exist existential quantifier expressions extension F F F F is G F T F final column formula Fx 3 Gx given horse of Bellerophon Hypothetical Syllogism Idempotency implicit inference infinite number intension invalid John loves Mary kind language linguistic logic logician loves every woman Material Equivalence Material Implication mathematical means metals are conductors Mill's Methods molecular sentence monadic predicates negation signs negative Normal Form nude players object obtain p v q polyadic predicates possible premises probability proper names quantified forms reasons refer relation rules Similarly simply Syllogism symbolized tells things tion true or false truth table truth values truth-table analysis universal quantifiers valid form Venn diagrams words x)Fx