Two conflicting beliefs can be true; Aphorisms are a great
   example: "He who hesitates is lost" vs. "Everything comes to he
   who waits." Both true. Conflicting beliefs are more often
   simultaneously true than not; each contains a kernel of truth.
   Take things from a metaphorical context and many more things are
   true than those based upon Aristotelian Logic (which has built
   in limitations such as the Law of Non-Contradiction - there are
   other Logic systems not limited by Aristotle) and based on a
   limited set of definitions for particular words. I'm not saying
   that I have the answer; I don't; I'm just giving food for
   thought and discussion.