Propositional Symbolization quiz

Question: Not both Playboy changes its image and Maxim changes its cover given that Glamour hires models.

Answer Choices: a. G ⊃ ~(P • M) b. ~(P • M) ≡ G c. ~(P • M) ⊃ G d. ~(P • M) ∨ G e. G ⊃ ~(P • M)

Answer: a. G ⊃ ~(P • M)

Question: Forbes increases circulation if and only if both Time and Newsweek do not raise their price.

Answer Choices: a. F ≡ (T ∨ ~N) b. F ⊃ (T • ~N) c. F ≡ ~(T • N) d. F ≡ (T ∨ N) e. F ≡ ~(T ⊃ N)

Answer: c. F ≡ ~(T • N)

Question: Given that A and B are true and X and Y are false, determine the truth value of Proposition 1E.

Answer Choices: a. True. b. False.

Answer: b. False.

Question: In Proposition 1E, the main operator is a:

Answer Choices: a. Dot. b. Triple bar. c. Wedge. d. Tilde. e. Horseshoe.

Answer: d. Tilde.

Question: Given that A and B are true and X and Y are false, determine the truth value of Proposition 2E.

Answer Choices: a. True. b. False.

Answer: a. True.

Question: In Proposition 2E, the main operator is a:

Answer Choices: a. Wedge. b. Dot. c. Tilde. d. Triple bar. e. Horseshoe.

Answer: e. Horseshoe.

Question: Statement 1E is:

Answer Choices: a. Logically equivalent. b. Self-contradictory. c. Tautologous. d. Contingent. e. Consistent.

Answer: c. Tautologous.

Question: The truth table for Statement 1E has how many lines?

Answer Choices: a. Six. b. Eight. c. Two. d. Four. e. Nine.

Answer: d. Four.

Question: Statement 2E is:

Answer Choices: a. Inconsistent. b. Contingent. c. Consistent. d. Tautologous. e. Self-contradictory.

Answer: b. Contingent.

Question: The truth table for Statement 2E has how many lines?

Answer Choices: a. Nine. b. Twelve. c. Four. d. Six. e. Eight.

Answer: e. Eight.

Question: Given the statement: (K ≡ ~S) • ~(S ⊃ ~K)

Answer Choices: a. Self-contradictory. b. Contingent. c. Inconsistent. d. Valid. e. Tautologous.

Answer: a. Self-contradictory.

Question: Given the pair of statements: ~(K ⊃ G) and G ∨ ~K

Answer Choices: a. Invalid. b. Logically equivalent. c. Consistent. d. Contradictory. e. Inconsistent.

Answer: d. Contradictory.

Question: Given the pair of statements: I ≡ C and C • ∼I

Answer Choices: a. Valid b. Consistent c. Logically equivalent d. Contradictory e. Inconsistent

Answer: e. Inconsistent

Question: Given the pair of statements: W ⊃ (J • ∼M) and (J ∨ ∼W) • ∼(M • W)

Answer Choices: a. Inconsistent b. Logically equivalent c. Contradictory d. Valid e. Consistent

Answer: b. Logically equivalent

Question: Given the argument: S ∨ L / L ⊃ S // S ∨ ∼L

Answer Choices: a. Invalid; fails in 1st line b. Invalid; fails in 2nd line c. Valid d. Invalid; fails in 3rd line e. Invalid; fails in 4th line

Answer: d. Invalid; fails in 4th line Question 460: Given the argument: N ⊃ D / D ⊃ ∼N // ∼N Answer Options: a. Invalid; fails in 1st line b. Invalid; fails in 2nd line c. Valid d. Invalid; fails in 3rd line e. Invalid; fails in 4th line Correct Answer: c. Valid

Question: Given the argument: H ⊃ (R • J) / (R ∨ A) ≡ E / J ⊃ P / E ⊃ P // ∼H

Answer Choices: a. Valid b. Invalid c. Uncogent d. Cogent e. Sound

Answer: a. Valid

Question: Given the argument: Q ⊃ (C • N) / S ⊃ (C ∨ N) / Q ∨ S / N ⊃ K // K • C

Answer Choices: a. Sound b. Uncogent c. Invalid d. Cogent e. Valid

Answer: c. Invalid Question 463: Given the statements: G • W / G ⊃ (∼R ⊃ Q) / W ⊃ (R ⊃ Q) / G ⊃ Q Answer Options: a. Inconsistent b. Logically equivalent c. Invalid d. Tautologous e. Consistent Correct Answer: e. Consistent Question 464: Given the statements: (E ∨ P) ⊃ H / ∼N ⊃ (P • E) / N ⊃ ∼H / E ≡ ∼P Answer Options: a. Contradictory b. Tautologous c. Valid d. Inconsistent e. Consistent Correct Answer: d. Inconsistent

Question: Given the argument: ∼G ⊃ E E ⊃ J ∼G ⊃ ∼J

Answer Choices: a. MP—valid b. HS—valid c. Invalid

Answer: c. Invalid

Question: Amherst reduces class size, and either Williams increases enrollment or Smith raises tuition.

Answer Choices: a. A • (W ⊃ S) b. A • (W ∨ S) c. A ⊃ (W ∨ S) d. A ∨ (W ⊃ S) e. A ∨ (W ⊃ S)

Answer: b. A • (W ∨ S)

Question: If Williams increases enrollment, then not both Fordham and Georgetown expand course offerings.

Answer Choices: a. W ⊃ ~(F ∨ G) b. W ⊃ ~(F ∨ G) c. W ⊃ ~(F • ~G) d. W ⊃ ~(F • G) e. W ⊃ ~(F • G)

Answer: e. W ⊃ ~(F • G)

Question: Rice hires new faculty only if neither Duke nor Tulane increases student aid.

Answer Choices: a. ~(D ∨ T) ⊃ R b. R ⊃ ~(D ∨ T) c. R ⊃ (D ∨ T) d. R ⊃ ~(D ∨ T) e. ~(D ∨ T) ⊃ R

Answer: c. R ⊃ (D ∨ T)

Question: Both Baylor and Rice do not raise tuition provided that Smith increases enrollment.

Answer Choices: a. S ⊃ (~B • ~R) b. (~B • ~R) ⊃ S c. (~B • R) ⊃ S d. S ⊃ (~B • R) e. ~(B • R) ⊃ S

Answer: a. S ⊃ (~B • ~R)

Question: Williams offers new scholarships if and only if either Amherst reduces class size or Smith does not hire new faculty.

Answer Choices: a. (A ∨ S) ⊃ W b. W ≡ (A ∨ S) c. W ⊃ (A ∨ S) d. W ≡ (A ∨ ~S) e. (W ≡ A) ∨ ~S

Answer: d. W ≡ (A ∨ ~S)