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Vaniver comments on Open Thread, October 7 - October 12, 2013 - Less Wrong Discussion
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I think the question is poorly formulated. If you say:
P: you have done something wrong
Q: you have a reason to hide something
P->Q: If you have done something wrong, then you have a reason to hide something
!Q->!P: If you do not have a reason to hide something, then you have not done something wrong
Which seems quite consistent to me, as it makes it possible to have a reason to hide something without having done something wrong. The negations of the original are throwing me, and I think the if-then phrase might be backwards as the causality should be doing something wrong causes you to have something to hide, rather than the reverse. My logic course was long enough ago that I can't pin it exactly.
Note the difference between "If you don't have a reason to hide something, then you have done nothing wrong" and "if you have done nothing wrong, then you don't have a reason to hide something." A person who is totally open has no skeletons in their closet- but the fetishist has something in his closet that isn't skeletons (unless it's skeletons).