For the following description, identify the propositions and write the Modus Ponens argument, using propositional variables. If I mow the yard, I won’t wash the car.  I’ll mow the yard.  The car won’t get washed. Is the statement ~(p∨q) the logical equivalent of p→q ? Use a truth table to demonstrate your answer. Skip no Columns.

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Consider the following argument: If the white flag is flying, then truce has been declared. Truce has not been declared. Therefore, the white flag is not flying. (a) Define statement variables for each component of the above argument, then write the formal argument using your variables. (b) Is the above argument valid? Explain. c) Find the contrapositive of the statement, “If the white flag is flying, then truce has been declared.” d) If the statement “If the white flag is flying, then truce has been declared” is replaced with its contrapositive, will the above argument be valid? Why or why not?