Hi,
I appreciate the good discussions conducted in the previous posts. But my confusion as to why Answer Choice D can make a necessary assumption lingers.
Allow me to strip down and simplify the argument & the answer choice at issue, by rephrasing them in more abstract terms.
Premise A: Our rule states that ONLY those who possess Property X are allowed to pass through the door.
Premise B: Evidence shows that some people who exhibit Property Y have been allowed to pass.
Conclusion: Our rule as stated in Premise A has been violated!
Answer Choice D: No one who exhibit Property Y possesses Property X.
Negation of D: There is at least one person who exhibits both Poperties X and Y.
At this point, I’d like to thank you for having stayed with me this far. Now, to the extent this reformulation of the argument and its assumption is acceptable (please let me know if you think it doesn’t and why not), it would seem evident to me how answer choice D can make a good SUFFICIENT assumption. Yet the same may not be said about it being a necessary assumption. I mean there are tons of other ways of arriving at the conclusion without assuming what D says. For example, consider that those who were allowed to pass, while exhibiting Poperty B, HAPPENED to be the only ones without Property A.
Negation of D doesn’t seem to have completely destroyed the argument provided that we allow further assumptions to be made, for example, consider again the possibility that those Poperty B - exhibiting folks who were allowed to pass were the only ones of the Property B kind who didn’t possess Property A.
I guess I am having the same kind of doubts and confusion as the author of the first thread posted under this question. So reading through thoughts posted there may help you make sense of mine in case you wanna help and are feeling baffled by my rambling.
Best,
Winston