Lumifer comments on Open Thread, October 7 - October 12, 2013 - Less Wrong Discussion
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I've been thinking about this statement in particular: 'If you've done nothing wrong, you have nothing to hide.' People naturally seem to gravitate to the logical contraposition: If P, then Q. Therefore if !Q, then !P. If you have something to hide, then you MUST have done something wrong. Drawing from this logical statement, they infer that anyone who even tries to hide anything MUST be doing something wrong.
It seems obvious to me, however, that not all people who attempt to hide things have done something wrong. Where is the logical error? Is it in the inversion of 'nothing' and 'something'? It's been a long time since my symbolic logic courses involving the negation of universal quantification.
Um, the statement "If you've done nothing wrong, you have nothing to hide" is wrong to start with.
EDIT: Deleted the mistaken part of the post -- was reading too fast and screwed up the formal logic counter-example. Mea culpa
No, it would be "Therefore if you're not a human you're not a man", which does follow. The formal logic is fine.