PHIL 210 Chapter Notes - Chapter 1-2: Modus Tollens, Disjunctive Syllogism, Logical Form
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Antecedent: the first factor, upon which the second factor depends; the thing to which the "if" is attache. Assertion: a declaration of opinion or belief, either positive or negative. Conjunctive statement (conjunction: a sentence with two or more statements (conjuncts) that are joined by conjunctions such as "and" or "but. Consequent: the factor that will result, depending on what happens with the antecedent; the thing to which the "then" is attached. Denying the antecedent: an invalid argument in the form " if p then q (premise 1). It is not the case that p (premise 2). Therefore, it is not the case that q (conclusion). " This invalid form is easily confused with the valid form modus tollens. Disjunctive statement (disjunction: a sentence in which the composite statements are presented as alternatives. "or" can be used either inclusively (one or both of the statements is true) or exclusively (only one of the statements can be true).