junglebeast said:
The next sentence in that article says:
However, attempts to extend the Standard Model with gravitons have run into serious theoretical difficulties
and this is consistent with my understanding of the situation: we know methods that look like they might give the right answer, but we can't figure out how to make them to work.
(I believe the description there is oversimplified, but I'll let someone more knowledgeable comment on that)
By your logic, one could conclude that all theories which explain the same effect can be simultaneously true. That's nonsense! The theories are mutually exclusive
(I was never talking about "theories which explain the same effect". I was talking about "theories that make agree with observed behavior". There
is a difference, y'know: most theories which purport 'explain' some effect get wrong answers)
(1) As the quote said, what makes a theory "correct" is that it matches the observations of every experiment yet devised to challenge it. We use empirical evidence to evaluate the "truth" of our theories, because we don't have some mythical "truth valuation of the universe" which is a function whose inputs are mathematical statements and whose outputs are truth values. Even if such a mythical truth valuation existed, we could never be sure we knew what it was, so it's not a useful concept.
(2) If two theories make exactly the same predictions, then there is nothing to decide between them, no matter how radically different they might appear at first...
(2) But really, you simply aren't being imaginative enough. Go mull over a simple purely mathematical example for a while -- the theory of real number arithmetic and the theory of Euclidean geometry happen to be exactly equivalent mathematical theories.