Hi!! I want to make sure I understand these types of questions.
Stimulus:
Premise: scientist
NOT appreciate poetry
Premise: scientist
logical
Conclusion: appreciate poetry
NOT logical
Is the flaw that we know nothing about those who appreciate poetry, besides that they are NOT scientists (CP of premise 1)?
Answer choice A:
Premise: M
NOT LE
Premise: M
NA
Conclusion: NA
NOT LE
Reading this through without diagramming, I found this to be valid. However, when I diagrammed it, I suddenly got confused as to how this is valid. Can I substitute the second premise into the first premise because the common "M", which would make the conclusion true? For instance, M
NA
NOT LE. Why did the conclusion change from "most" to "some"?
Answer choice B:
Premise: F
NOT CEC
Premise: F
adults
Conclusion: CEC
children
All we for sure know about CEC is the CP of premise 1, which is CEC
NOT F. So we cannot prove the "children" part in the conclusion, right? This matches the flaw in the stimulus.
Answer choice C:
I eliminated this one because the premise didn't seem to match "equal to" and the conclusion was off "at least the best." Was that a valid reason to eliminate this answer choice, or is there a better reason?
Answer choice D:
I eliminated this one because the conclusion was relative "less," while the stimulus' conclusion was absolute.
Answer choice E:
Premise: CE
NOT LPT
Premise: CE
honest
Conclusion: LPT
honest
How do the premises connect to make the conclusion? Because if I contrapose premise 1, to match the LPT in the conclusion, then premise 1 and 2 cannot connect since one would have CE and the other would have NOT CE.
General Questions about "some" vs "most":
For "some" statements in conditional logic, I understand that you can switch the sides since "some" reads both backwards and forwards. Can you ever contrapose "some" statements/would you ever need to?
For "most" statements in conditional logic, the arrow is always one way. Can you switch the sides if you negate them? Or would that mess up the "most?" For instance, would the second premise of this problem be equivalent to NOT logical
NOT scientist? Or do we know know anything about those who are NOT logical because we cannot contrapose "most" statements?
I really want to completely understand these types of problems, so I can become faster at them. I appreciate whoever takes their time to answer this very loaded question of mine!
Thanks,
Jessica