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.

Question

Quizplus · Accepted Answer

Given A and B are true, and X and Y are false, the proposition simplifies as follows: The antecedent ∼[(A ∨ ∼ B) ⊃ X] simplifies to ∼[True ⊃ False], which is ∼[False], or True. The consequent [∼ Y ⊃ (A • X)] simplifies to [True ⊃ (True • False)], which is [True ⊃ False], or False. Therefore, the proposition True ⊃ False is False.

Proposition 1B Given the Following Proposition