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

Question

Quizplus · Accepted Answer

- B is true, so B ≡ ∼ X is false (since X is false)
- A is true, so A ⊃ Y is true (since Y is false)
- Therefore, ∼ X ⊃ (A ⊃ Y) is true
- And since the first clause in the disjunction is false (B ≡ ∼ X is false and Y is false), the entire statement is false
- Therefore, the negation of the statement (∼{[(B ≡ ∼ X) ⊃ Y] ∨ [∼ X ⊃ (A ⊃ Y)]}) is true, making the original statement false
- Therefore, Proposition 1C is false.

Proposition 1C Given the Following Proposition