by giladedelman Fri Mar 30, 2012 4:31 am
You're not doing anything wrong. You're just forgetting that a conditional statement and its contrapositive are 100% interchangeable. The stimulus and (D) have the same logical structure (wonderfully diagrammed in your post), but the second premise is phrased slightly differently. You could just as easily have diagrammed (D) as
Office on second floor -> works for president
July vacation -> ~works for president
Office on second floor -> ~July Vacation
Then it would more obviously match the stimulus. Make sense?
As a side note, the nice thing about this question is that since the argument in the stimulus is logically valid, we can get rid of any answer that is not. That ends up getting rid of everything but (D)!
(A) is bad because one of the premises is about all the employees who are offered insurance, but then the conclusion tries to be about all the employees in general, which doesn't work.
(B) is old-school reversed logic.
(C) is out because having a reputation for being on time is not a binding conditional relationship.
(E) is reversed logic, and not all conditional statements.