4808pset1ans

# 4808pset1ans - Economics 4808 Problem Set 1 answers 1...

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Economics 4808 Problem Set 1 answers 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. The two statements are equivalent. In explanation, the first statement says that {knew him} implies {loved him}. That is, {knew him} guarantees that you {loved him}. If A≡{knew him} and B≡{loved him}, B A . However, } { } { notA notB B A , which is the second statement, so the first statement implies the second. Does the second statement imply the first? Yes. The second statement can be written } { notA notB . But )} ( ) ( { } { notB not notA not notA notB . Also,

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4808pset1ans - Economics 4808 Problem Set 1 answers 1...

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