I've been reading Roger Penrose's " The Emperor's New Mind." He brought up a question that I once thought I knew the answer. "Is Mathematics invented or discovered?" I.E. Is Mathematics a purely mental construct or does(do) Mathematics exist, as in Plato's forms, somewhere, as Truths of Reality that we discover rather than invent? And, by extension is Logic invented or discovered truths of the universe? Think about it. Then give us your thoughts on the matter. It is not really as simple or straight forward as it first appears.