The Logic Problem, taken from WFF’N PROOF, The Gums: of

Chapter 7, Problem 34E

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QUESTION:

The Logic Problem, taken from WFF’N PROOF, The Gums: of Logic, has these two assumptions:1.“Logic is difficult or not many students like logic.”2.“If mathematics is easy, then logic is not difficult.”By translating these assumptions into statements involving propositional variables and logical connectives, determine whether each of the following are valid conclusions of these assumptions:a) Thai mathematics is not easy, if many students like logic.________________b) That not many students like logic, if mathematics is not easy.________________c) Thai mathematics is not easy or logic is difficult.________________d) Thai logic is not difficult or mathematics is not easy.________________e) Thai if not many students like logic, then either mathematics is not easy or logic is not difficult,

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QUESTION:

The Logic Problem, taken from WFF’N PROOF, The Gums: of Logic, has these two assumptions:1.“Logic is difficult or not many students like logic.”2.“If mathematics is easy, then logic is not difficult.”By translating these assumptions into statements involving propositional variables and logical connectives, determine whether each of the following are valid conclusions of these assumptions:a) Thai mathematics is not easy, if many students like logic.________________b) That not many students like logic, if mathematics is not easy.________________c) Thai mathematics is not easy or logic is difficult.________________d) Thai logic is not difficult or mathematics is not easy.________________e) Thai if not many students like logic, then either mathematics is not easy or logic is not difficult,

ANSWER:

Solution :Step 1:In this problem we have to translate these assumptions into logical statements.

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