Exam 6: Propositional Logic

Statement 1F Given the following statement: ∼ [K ⊃ (N ⊃ K)] -Statement 1F is:

Either we recycle our trash or we will be inundated in garbage. Therefore, we will not be inundated in garbage, since we recycle our trash.

K ∨ ∼B B K

Given the statements: P ⊃ (A ⊃ M) / (D ∨ K) ⊃ (M ⊃ H) / (A • ∼ H) ∨ ∼ D / P • D These statements are:

If Fordham expands course offerings, then if Georgetown increases its endowment, then both Duke raises tuition and Tulane reduces class size.

(∼H ⊃ K) • (H ⊃ ∼T)

Progressive increases its territory if neither Safeco cuts costs nor Travelers runs an ad.

Either Breitling has a diamond model and Rado advertises a calendar watch or Tissot has luminous hands.

Proposition 1H Given the following proposition: [(A ≡ ∼B) ∨ (X ⊃ Y)] • [(Y ⊃ A) ≡ ∼(X ∨ B)] -In Proposition 1H, the main operator is a:

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

Given the argument: W ∨ ∼ S / E ∨ ∼ A / (K ∨ L) ≡ (A • S) // L ⊃ (E • W) This argument is:

∼Q ∨ S

∼N ∨ A

Given the argument: A ⊃ ∼B / B ∨ A // ∼B ≡ A. This argument is:

Proposition 2B Given the following proposition: [(A ⊃ Y) ≡ (B ⊃ ∼X)] ∨ ∼[(B • ∼ X) ≡ (Y • A)] -Given that A and B are true and X and Y are false, determine the truth value of Proposition 2B.

Given the pair of statements: ∼ (H ≡ R) and ∼ (R ⊃ ∼ H) These statements are:

Given the pair of statements: J ≡ ∼ M and (J • M) ∨ ∼(M ∨ J) These statements are:

Statement 2H Given the following statement: [N ∨ ∼ (K ∨ G)] ≡ [(G ⊃ N) • (K ⊃ N)] -Statement 2H is:

Given the statements: W ⊃ (E ∨ ∼ G) / A ⊃ (G ∨ ∼ E) / H ⊃ (A • W) / H • E These statements are:

Given the argument: K ⊃ (M ∨ ∼ H) / M ⊃ H / M ⊃ K // K ⊃ H This argument is: