All philosophers respect each other. Some philosopher doesn't study some philosopher. Anything which respects something without studying it is open-minded, if ignorant. So something is open-minded and ignorant. (Ix: x is ignorant; Ox: x is open-minded; Px: x is a philosoper; Rxy: x respects y; Sxy: x studies y)
-Which of the following claims can also be derived from the premises of this argument?
A) Rab • ∼Sab
B) ~Rab • ~Sab
C) ~Rba • ~Sab
D) Rba • Sab
E) Rba • Sbb

Question

Quizplus · Accepted Answer

Given the premises, it logically follows that there is at least one philosopher who respects another without studying them. This is captured by "Rab • ~Sab," which states that a philosopher (a) respects another philosopher (b) but does not study them. This aligns with the premises that all philosophers respect each other and that some philosopher doesn't study some philosopher, leading to the conclusion that something (or someone in this context) is open-minded and ignorant.

All Philosophers Respect Each Other