Large diamonds are costly if they are not flawed.
A) (∃x){∼Fx ⊃ [Lx ⊃ (Dx • Cx)]}
B) (x)[(Lx • Dx) ⊃ (∼Fx ⊃ Cx)]
C) (x)[(Lx ∨Dx) ⊃ (∼Fx ⊃ Cx)]
D) (x)[(Dx • Cx) ⊃ (∼Fx ⊃ Lx)]
E) (x)[(∼Fx ⊃ Cx) ⊃ (Lx • Dx)]

Question

Quizplus · Accepted Answer

The correct logical form for "Large diamonds are costly if they are not flawed" is "(x)[(Lx • Dx) ⊃ (∼Fx ⊃ Cx)]". This means for all x, if x is large and a diamond, then if x is not flawed, x is costly. This captures the conditional relationship between being large, a diamond, and not flawed leading to being costly.

Large Diamonds Are Costly If They Are Not Flawed