Chang Erickson
04/04/2024 · Middle School

Determine whether the following statement makes sense or does not make sense, and explain your reasoning. If I know that a conditional statement is false, I can obtain a true statement by taking the conjunction of its antecedent and negated consequent. Does the given statement make sense? Why? A. The statement does not make sense because taking the conjunction of the antecedent and negated consequent describes the equivalence of a conditional statement. The equivalence of false is false. B. The statement does not make sense because taking the conjunction of the antecedent and negated consequent of a conditional statement does nothing to affect the truth value of the original statement. C. The statement makes sense because taking the conjunction of the antecedent and negated consequent describes the negation of a conditional statement. The negation of false is true. D. The statement makes sense because the negation of a false statement is a true statement.

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The statement does not make sense because the conjunction of the antecedent and negated consequent does not affect the truth value of the original conditional statement.

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