1. (∃x)[Dx • (∀y)(Ey ⊃ Fxy)]
2. (∀x)(Dx ⊃ Ex)
-Which of the following propositions is an immediate (one-step) consequence in F of the given premises?
A) Dx ⊃ Ea
B) Dx • (∀y)(Ey ⊃ Fyy)
C) Da • (∀y)(Ey ⊃ Fay)
D) Da
E) Da • (∀y)(Ea ⊃ Fay)

Question

Quizplus · Accepted Answer

The first premise states that there exists an x such that Dx and for all y, if Ey then Fxy. The second premise states that for all x, if Dx then Ex. From these, we can derive that there exists at least one specific instance (let's call it 'a') where Da is true and for all y, if Ey then Fay, which matches option C. This follows because the first premise guarantees an x that satisfies both Dx and the conditional relation between Ey and Fxy, and the second premise ensures that whatever x satisfies Dx also satisfies Ex, making the specific instance 'a' satisfy both conditions.

1. (∃X)[Dx • (∀Y)(Ey ⊃ Fxy)]