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Can anybody help me with this Philosophy quiz? It has ten questions. It covers the Rules of Inference and formal proofs. 

PHIL3

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May 16, 2021

QUIZ

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

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

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.

#3. (P1): (D v E) • (F v G)

∴ D v E

#4. (P1): H ⊃ I

∴ (H ⊃ I) v (H ⊃ ~I)

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

#5.

1. (E v F) • (G v H)

2. (E ⊃ G) • (F ⊃ H)

3. ~G

∴ H

4. E v F

5. G v H

6. H

#6.

1. I ⊃ J

2. J ⊃ K

3. L ⊃ M

4. I v L

∴ K v M

5. I ⊃ K

6. (I ⊃ K) • (L ⊃ M)

7. K v M

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

#7.

(P1): G

(P2): H

∴ (G • H) v I

#8.

(P1): J ⊃ K

(P2): J

∴ K v L

#9.

(P1): A v (B ⊃ A)

(P2): ~A • C

∴ ~B

#10.

(P1): (K • L) ⊃ M

(P2): K ⊃ L

∴ K ⊃ [(K • L) • M]

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