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

Question

Quizplus · Accepted Answer

Substituting the truth values:
- A ≡ X : True ≡ False, which is False
- Y ⊃ ∼B : False ⊃ ∼True, which is False
So the left hand side of the implication becomes [(False) ∨ (False)], which simplifies to False.

Now let's look at the right hand side of the implication:
- X ∨ B : False ∨ True, which is True
- A • Y : True • False, which is False
So (True • False) simplifies to False.

Therefore, the whole statement becomes ∼(False), which is True. The truth value of Proposition 1G is True.

Proposition 1G Given the Following Proposition