LDS Skepticism
Jared* at the LDS Science Review has an interesting article on the encouragement of skepticism by LDS leadership.
http://ldsscience.blogspot.com/2006/08/skepticism-in-church.htmlThe article is pretty LDS centric, being an LDS blog. In speaking about interpreting claims of divine revelation, we are told to reject it if it is contrary to (among other things) "known facts, demonstrated truths, or good common sense."
Following the spirit of the advice, one could easily expand it to any special claims made by people, especially those where the person making the claim has some advantage to be had if you accept their story.