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Philosophy Quiz

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PHIL3
May 16, 2021

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help me learn philosophy

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#1. Write a valid, unsound, deductive argument, using natural language.

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#2. Write a valid, sound, deductive argument, using natural language.

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For the following arguments, state the rule of inference by which the conclusion follows from its premise or premises. Please provide a brief explanation of how you arrived at your answer.

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#3. (P1): (D v E) • (F v G)

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∴ D v E

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#4. (P1): H ⊃ I

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∴ (H ⊃ I) v (H ⊃ ~I)

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For the following proofs, please state the justification for each statement that is not a premise.

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#5.

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1. (E v F) • (G v H)

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2. (E ⊃ G) • (F ⊃ H)

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3. ~G

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∴ H

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4. E v F

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5. G v H

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6. H

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#6.

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1. I ⊃ J

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2. J ⊃ K

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3. L ⊃ M

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4. I v L

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∴ K v M

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5. I ⊃ K

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6. (I ⊃ K) • (L ⊃ M)

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7. K v M

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For the following arguments, please construct a formal proof. Please provide a brief explanation for each of your proofs (maybe a few sentences).

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#7.

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(P1): G

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(P2): H

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∴ (G • H) v I

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#8.

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(P1): J ⊃ K

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(P2): J

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∴ K v L

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#9.

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(P1): A v (B ⊃ A)

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(P2): ~A • C

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∴ ~B

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#10.

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(P1): (K • L) ⊃ M

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(P2): K ⊃ L

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∴ K ⊃ [(K • L) • M]