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

Question

Quizplus · Accepted Answer

Given A and B are true, and X and Y are false, the antecedent [(X ⊃ A) • (B ⊃ ∼Y)] evaluates to true because (X ⊃ A) is true (since A is true) and (B ⊃ ∼Y) is true (since B is true and Y is false). However, the consequent [(B ∨ Y) • (A ⊃ X)] evaluates to false because (A ⊃ X) is false (since A is true and X is false). Therefore, a true antecedent leading to a false consequent makes the whole conditional statement false.

Proposition 2A Given the Following Proposition