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  • You may find this is a better match for the Mathematics stack exchange, because it is entirely contained in proof theory, a branch of mathematics, without calling on any philosophical argument. Hopefully they will not simply send you back here! Commented Apr 14, 2015 at 15:19
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    @CortAmmon Typically logic is considered entirely on topic here. Commented Apr 14, 2015 at 16:22
  • @jxhyc: An excellent book on this topic is "An Introduction to Non-Classical Logic" by G. Priest (ISBN-10 0521670268). Commented Apr 14, 2015 at 18:29
  • @ Moritz, thanks for the recommendation, I checked the book, it seem an interesting book. However, I doubt the question has something to do with non-classical logics Commented Apr 14, 2015 at 19:02