So \- from a Bayesian standpoint \- after explaining Mercury's orbital precession, we can't be sure Einstein's gravitation is correct, but we can be sure that Newton's gravitation is wrong\.

Does "sure" mean 100% confidence? If so, is this a correct statement?

Or would it be more correct to say:

- we're
*extraordinarily*confident that Newton's gravitation is*close*to correct, - we're
*extraordinarily*confident that Einstein's gravitation is*even closer*, - we're
*mildly*confident that we will find no closer theories, though one alternative to explaining dark matter would be modified gravitation, so we're considerably less confident than we would be if there were no known evidence suggesting inaccuracies in Einstein's gravitation, by a factor of P(Einstein|DarkMatter).