&gt; If two theses conflict each other at least one of them (perhaps even both) must be wrong.<p>This is too simplistic.  They can be partially right as well as partially wrong.  Is light a wave or a particle?  Well, it depends.<p>Two opposing half-truths form a paradox.  While some paradoxes can be resolved, by finding a deeper theory that unifies them, some cannot.  To draw an example from the political realm -- more relevant to this discussion -- here are two truths:<p>(1) We are all in this together.<p>(2) Each person is responsible for their own life.<p>These are both true, but conflict.  And I do not think there will ever be a final resolution of this paradox.  In some situations, the first principle is more important; in others, the second.  Hashing out which is which is a never-ending debate, and a critically important one.