PHIL 110 EXAM 2 – Extra credit
All questions are worth 5 points. Partial credit will be given.
1. Explain the limitations of sentence logic.
2. Give an interpretation of Mxx & Fab.
3. Consider the following sentence and interpretation:
a) Give all of the sentence’s substitution instances in this interpretation.
b) For each substitution instance say whether the instance is true or false in this interpretation.
c) Say whether the sentence itself is true or false in this interpretation.
4. Transcribe the following sentence into predicate logic twice. First use subscripted quantifiers, then unrestricted quantifiers. Use the following transcription guide: j: Jim, a: Angela, Px: x is a person, Pxy: x pranks y, Lxy: x loves y.
“Angela loves everyone whom Jim pranks.”
5. Write a substitution instance of the following sentence using the name ‘a’:
6. Write an existential generalization of the following sentence:
7. Provide an interpretation that is a counterexample to the following argument:
8. Prove that the following argument is valid. You can use any rules of inference.
9. Prove that the following argument is valid. You can use any rules of inference.
10. Use argument by cases to prove that the following argument is valid. You can use any other rules of inference.
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