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4808pset1

# 4808pset1 - Economics 4808 Problem Set 1 1 Analyze the...

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Economics 4808 Problem Set 1 1. Analyze the following epitaph using logic: "Those who knew him loved him. Those who loved him not, knew him not." a. What is the relationship between the two sentences in the epitaph (equivalent, contradictory, etc.)? b. In addition to your logical explanation, include with your answer a Venn diagram that will help the reader to visualize what is going on. Make sure to represent all 4 sets: those who loved him, those who loved him not, those who knew him, and those who knew him not. Note: The issue is not whether the two statements are true or not (maybe everybody hated the guy but he wrote his own epitaph). Just think of each of the statements as an assumption and then determine the logical relationship between the two assumptions. 2. Is the following formula true? You can demonstrate your answer with a Venn diagram. a. C B C A B A = = ? b. A B A B A = ? 3. Define a thing or action in words. Refer to this thing as action as A. Then define a condition that is necessary but not sufficient for A to occur; explain why. Then, define a condition that is sufficient but

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