I am personally fond of Ayn Rand’s identification of certain matters as “paradoxes, but not contradictions”. In my view, contradictions do not exist in reality, though there may be elements that are difficult to reconcile mentally because of incomplete information or preliminary errors in one’s perception of existence.
I see the progress of human civilization as, in part, consisting of the increasing resolution of paradoxes. While, of course, it is possible that new paradoxes would arise as the old ones are resolved, these paradoxes arise on the boundaries of the new intellectual territory that is yet to be fathomed and incorporated into the domain of human mastery. Paradoxes, mysteries, and unresolved questions occur on the outermost edges of human advancement at any given time. As the edges expand, old mysteries and paradoxes are solved and new ones may arise in territory that was previously completely unexplored. In this sense, encountering a paradox can be seen as a challenge – a call to resolve the quandary and thereby score gains for human progress. As a meliorist who sees no limits to the potential of human reason and technology, I think that all questions are ultimately answerable and all paradoxes are solvable, given enough time, effort, and proper means. Sometimes the resolution of a paradox requires highly creative, unorthodox, and unprecedented thinking – which must transcend conventional dichotomies and posited antagonisms in order to arrive at a new understanding.