Thanks so much for your help! I followed your reasoning up to this point...
giladedelman Wrote:
That's why (E) is correct. If students lose respect whenever they sense teachers hiding their ignorance, and we know teachers shouldn't allow students to lose respect for them, then it definitely follows that teachers shouldn't try to hide their ignorance.
But I can't seem to follow your logic for this last part. Knowing those two premises in my mind, doesn't definitely follow that "teachers shouldn't try to hide their ignorance." Can you please explain?
This is the line of reasoning that I came up with, I tried to make it as straightforward as possible. If you can, let me know if there's anything wrong with it. Thanks so much!
Premise 1: If teacher, then teacher should not do anything to cause their student to lose respect for them.
Premise 2: If someone is trying to hide his or her ignorance, then students can sense that someone is trying to hide his or her ignorance.
Logical opposite of Premise 2: If students cannot sense that someone is trying to hide his or her ignorance, then someone is not trying to hide his or her ignorance
Conclusion: If teacher, then teacher should not pretend to know the answer
(Assuming teacher should not pretend to know the answer = teacher should not try to hide his or her ignorance <--- Thank you so much for this intuition)
Same Conclusion but in different wording: If teacher -> teacher should not try to hide his or her ignorance.
Where is the hole?
Needed premise (hole): Teacher should not do anything to cause their student to lose respect for them -> Students cannot sense that someone is trying to hide his or her ignorance.
Contrapositive of Needed Premise (hole): Students sense that someone is trying to hide his or her ignorance -> should do anything to cause their students to lose respect for them.
Correct Answer Choice as stated in (E): If Students sense that the teachers are trying to hide their ignorance, then students lose respect for the teachers
This correct answer choice is the same as the contrapositive of the needed premise (assuming that "teachers should do anything to cause their students to lose respect for them = students lose respect for the teachers")