Deductive Logic

  Translate the following argument into categorical syllogistic form (major premise, minor premise, conclusion), symbolize the argument (using the conventional S, P, M variables), and draw a Venn diagram to test its validity. [8p] All bacon burgers are heart attack—inducing foods because all bacon burgers are high-fat foods, and some heart attack—inducing foods are not high-fat foods. For extra credit (up to 4 points): test the validity of the above argument using one of the other methods covered in class. Consider the following statement All newspapers identical to Washington Post are untrustworthy sources. Assuming that this statement is false, use the Square of Opposition to determine the truth-values of the corresponding categorical statements E, I, and O. [2p each] Problem 3: Using the direct truth-table method, determine the validity of the following argument [8p: 6p for the truth-table, 2p for the answer] B ? S / S ? ~ R / R ? (~ B ? ~ S) / ~ S // ~ B