Exam 6: Propositional Logic

Given the argument: N ≡ D / D ⊃ ∼ N // ∼ N 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.

Suppose an indirect truth table is constructed for an argument, and the truth table requires more than one line. If no contradiction is obtained on the first line, then:

?P ? ?D $\frac { \sim \mathrm { D } } { \sim \mathrm { P } }$

If Baylor's hiring new faculty implies that Rice increases enrollment, then Williams raises tuition if Smith expands course offerings.

?G ? ?B $\underline { B }$ $\sim \mathrm { G }$

?Q $\frac { \mathrm { H } \supset \sim \mathrm { Q } } { \mathrm { H } }$

?M $\frac { \mathrm { M } \supset \sim \mathrm { G } } { \mathrm { G } }$

If a group of statements are inconsistent, this means:

Given the statements: Q ⊃ (N ∨ S) / N ⊃ (L ⊃ B) / (S ∨ E) ⊃ (Q ⊃ B) / Q ≡ ∼ B These statements are:

G ? ?R $\frac{\mathrm{G}}{\sim \mathrm{R}}$

?D $\frac { \mathrm { D } \supset \sim \mathrm { L } } { \mathrm { L } }$

?N ? A $\frac { \mathrm { N } } { \mathrm { A } }$

If Tissot has luminous hands, then if either Rado advertises a calendar model or Fossil is water resistant, then Gucci features stainless steel.

Given the pair of statements: G ∨ ∼ H and H ∨ ∼ G These statements are:

When the disjunctive premise of a dilemma is of the form p ∨ ∼p, then it is impossible to:

?G ? K $\frac { \sim \mathrm { G } } { \mathrm { K } }$

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

According to De Morgan's rule, ∼(P ∨ Q) is logically equivalent to:

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