1. G ⊃ H
2. G ⊃ I
-Consider assuming 'G' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
A) H
B) I
C) H • I
D) Options A, B, and C
E) Options A and B, but not option C

Question

Quizplus · Accepted Answer

Assuming 'G' for conditional proof and given the premises "G ⊃ H" and "G ⊃ I", we can immediately derive both 'H' and 'I' as consequences. However, deriving 'H • I' (H and I) requires an additional step of conjunction, not immediate from the assumption of 'G' alone.