Exam 6: Propositional Logic

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

Statement 1F Given the following statement: ∼ [K ⊃ (N ⊃ K)] -The truth table for Statement 1F has how many lines?

Statement 2E Given the following statement: (P ⊃ ∼ B) ∨ (B ⊃ ∼ L) -Statement 2E is:

Given the statement: (A ∨ ∼ S) • (S • ∼ A) This statement is:

In the expression 'P • Q', 'P' is called:

Statement 1C Given the following statement: (H ∨ ∼ K) ≡ (K ⊃ H) -The truth table for Statement 1C has how many lines?

?B ? ?J $\frac { \sim \mathrm { J } } { \sim \mathrm { B } }$

F ? ?H $\frac { \mathrm { H } \supset \sim \mathrm { T } } { \mathrm { F } \supset \mathrm { T } }$

(K ? ?A) • (S ? ?D) V \simV\sim

Given the statements: N ⊃ (L • S) / (S ∨ W) ⊃ B / G ⊃ ∼ B / G ⊃ N These statements are:

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

D ? M $\frac { ( \mathrm { M } \supset \mathrm { A } ) \cdot ( \mathrm { D } \supset \mathrm { C } ) } { \mathrm { A } \vee \mathrm { C } }$

Given the statements: R ⊃ M / C ⊃ E / M ⊃ ∼ E / R • C These statements are:

M $\frac { \mathrm { H } \supset \sim \mathrm { M } } { \sim \mathrm { H } }$

Given the argument: J ⊃ (E • Q) / ∼ Q ⊃ L / (E ∨ M) ⊃ (L ∨ ∼ Q) / M ∨ J // L This argument is:

The wedge operator is used to translate:

People raises its price only if either Shape expands coverage or Health does not increase circulation.

If Nissan lays off workers, then if Toyota closes a factory, then neither Honda nor Fiat reduces inventory.

Escaping between the horns of a dilemma means:

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