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Practice Exam 1

# Practice Exam 1 - using the following key O â‰ Omar leaves...

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Philosophy 211: Practice Exam 1 Name:_________________________________________ 1. Determine whether the following statements are true or false. 1. 4 is greater than 3 True False 2. A set is consistent just in case there is a truth-value assignment True False on which at least one of its members is true 3. Equivalence is a syntactic concept True False 4. A valid argument may have inconsistent premises True False 5. If a set Γ entails any sentence P , Γ is consistent True False 6. {A v B , ~(B v C)} entails A True False 7. The rule P / Q P could be part of a sound derivation True False system 8. Adding any rule to a sound derivation system results in a True False sound derivation system 2. Translate the following statements either from SL into English or English into SL

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Unformatted text preview: using the following key: O â‰¡ Omar leaves town M â‰¡ McNulty cracks the case B â‰¡ Bubbles snitches G â‰¡ Greggs goes undercover 1. O â‰¡ (M & ~B) 2. Neither McNulty cracks the case nor Omar leaves town; however, not both Bubbles snitches and Griggs goes undercover 3. Determine whether the following set of sentences is consistent using the shortened truth-table method (A â‰¡ B) v ~B , ~(~A v ~C) , A âŠƒ (C âŠƒ B) 4. Show that the following derivation relation holds using only SD. 1. (E v F) & H âˆ´ I (approx. 10 steps) 2. E âŠƒ (G & I) 3. I â‰¡ F 5. Show that the following derivation relation holds using SD+. 1. ~(B v C) âˆ´ H âŠƒ L (approx. 12 steps) 2. ~B âŠƒ (~H â‰¡ I) 3. ~I âŠƒ C...
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