hw03 - compound statements a R ∨ P → ¬ P ↔ R b Q →...

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Intro to Abstract Math Homework 3 Fall 2009 Due September 9 Exercise 6. Let P , Q and R be statements. Use truth tables to answer the following questions. a. If ( P Q ) ( Q R ) is true, what can you conclude about P R ? b. If ( P R ) ( Q R ) is true, what can you conclude about R ? Exercise 7. Suppose you tell a child “If you don’t eat your dinner, then you won’t get any dessert.” The child eats dinner, but gets no dessert. From a logical standpoint, was your original statement a lie? Exercise 8. Let P , Q and R be statements. Compute the truth tables for the following
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Unformatted text preview: compound statements. a. ( R ∨ P ) → (( ¬ P ) ↔ R ) b. ( Q → R ) ∨ ( P ∧ (( ¬ Q ) → R )) Exercise 9. Consider the following argument. “ If it’s sunny and I get up early, then I’ll go to the lake. I’ll either stay up late or get up early. If I stay up late, then I’ll be tired. I’m not tired and it’s sunny. Therefore, I’ll go to the lake. ” Assuming that the first four statements are true, explain why the conclusion must also be true....
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