stm_512 Wrote:If we think of premise 2 as: The reduction of stress is the necessary condition for an illness caused by stress being treatable, then we can clearly see why D) is wrong.
Illness caused by stress treatable -> Reduction of stress
But I guess I'm having trouble seeing why this interpretation of the conditional is incorrect: The state of being treatable only by the reduction of stress is a necessary condition for an illness caused by stress.
Illness caused by stress > Treatable only by the reduction of stress
If this interpretation is correct, then doesn't D) seem more attractive?
I think this underlies the source of my confusion, as well as other students.
First of all, thank you for typing it out. For a while, I could not even pinpoint why and where my thought process is so different from the explanations above. Yes, this is precisely where the confusion is. I literally spent two hours on this question, got so mad, quit, came back, still confused, quit, went to discuss it with someone else... but I finally made peace with myself and this is why:
How should we decipher the 2nd premise? -- Any illness caused by stress is treatable only by the reduction of stress.
The most prevailing interpretation of this premise is extensively discussed above:
Any illness caused by stress is treatable/ only by the reduction of stress.
Meaning: If an illness is caused by stress
AND is treatable, then it is guaranteed that it is treated by reduction of stress.
The 2nd interpretation that confused us reads this way:
Any illness caused by stress is / treatable only by the reduction of stress.
Meaning: If it is an illness caused by stress, it is treatable only by the reduction of stress,
not by something else but just by this
one type of treatment.
Notice that if this 2nd interpretation is true, when combined with the first premise that some high blood pressure (HBP) is treatable by medicine, we get that reduction of stress treatment is
not the only method to treat the HBP. So the HBP is not caused by stress - our conclusion! What is the flaw here? There is really
none. Note that even if the HBP is also treatable by reduction of stress in addition to medicine, the conclusion will still hold. This is because we have two treatment methods for this illness now, not just only one by "reduction in stress." So what do we need to assume here then? Maybe that there actually exists some illness that can be treated with medicine? But we don't need to assume that, since it is ALREADY stated IN the first premise: some high blood pressure can be treated by medicine. The whole argument is actually valid using our 2nd interpretation.
Let's go back to (D): If something is treatable by medicine, by default it is not the only method, let alone the only method by "reduction in stress." (D)'s assumption is useless at best.
If you are not convinced, try to negate (D). We get:
There are no conditions that are treated effectively by medicines are not also treatable through the reduction of stress.
Meaning: There are some illness that can be treated both by medicine and reducing stress.
Guess what, our conclusion still holds. By definition, such dual treatments will defeat our reading of "only one type of treatment" for illness caused by stress, therefore it does not affect our original conclusion in any way.
To conclude, according to our confused 2nd interpretation, D is still wrong. In addition, I do not see how E can also be correct under this interpretation, so I have to believe that this is not the interpretation that the test writer had intended.
A side note: I don't know if this question was intended to be THIS confusing. The prevailing interpretation really makes the answer choices much more obvious and intuitive.