Godel Versus Wittgenstein

Perhaps nothing has been more misinterpreted than Godel's incompleteness theorems. Stephen Hawking, adopting the popular misconception, said, "e;Thus mathematics is either inconsistent, or incomplete. The smart money is on incomplete."e;If mathematics is tautology, as Wittgenstein said, mathematics cannot be inconsistent and/or incomplete, and so Godel s work cannot be about mathematics. If mathematics is not tautological, mathematics is mired in inconsistency and/or incompleteness, just as Stephen Hawking said, hence is unreliable. If mathematics is non-ontological, it cannot say anything about reality. If mathematics is ontological, it s the only thing that can say anything true about reality. There can t be a world where math is a bit true and a bit false. Either the world is wholly mathematical in which case math and not science is how we must study the world or the world isn t mathematical at all, in which case it s absurd for science to use math.