Exam 6: Propositional Logic

Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory.

Given the argument: M ⊃ Q / M ∨ ∼ Q // M • Q This argument is:

Given the pair of statements: M • ∼ D and D • ∼ M These statements are:

∼S

Given the statements: (E ∨ P) ⊃ H / ∼ N ⊃ (P • E) / N ⊃ ∼ H / E ≡ ∼ P These statements are:

P ∨ ∼D

∼N ⊃ H

Given the argument: R ∨ I / ∼ S ∨ (R ⊃ I) // S ⊃ I This argument is:

Corona is drinkable if Pabst is clean tasting, and Foster's is refreshing only if Guinness is dark.

∼G ⊃ E

Carnival advertises its parties if and only if Disney's promoting family cruises implies that Norwegian improves its entertainment.

In Proposition 1I, the main operator is a:

Given the pair of statements: (H • J) ∨ (N • J) and (N ∨ H) ⊃ ∼ J These statements are:

Statement 1G Given the following statement: (A • B) ≡ (∼A • ∼B) -Statement 1G is:

If our company reduces wages, then it will lose its labor force; but if it does not reduce wages, then it will go bankrupt. Thus, our company will either lose its labor force or go bankrupt, since it will either reduce wages or not reduce them.

Proposition 2A Given the following proposition: [(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)] -In Proposition 2A, the main operator is a:

Proposition 1B Given the following proposition: ∼[(A ∨ ∼ B) ⊃ X] ⊃ [∼ Y ⊃ (A • X)] -Given that A and B are true and X and Y are false, determine the truth value of Proposition 1B.

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

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

Given the pair of statements: ∼ (K ⊃ G) and G ∨ ∼ K These statements are: