Proof, Evidence, Science, and Christianity

In my previous post I said that the Big Bang was evidence for the existence of God, though not proof.  This raises the question of whether or not there is proof for God, or for that matter, whether or not there is proof for anything, even within the scientific realm.   

If by proof, we mean absolute certainty of truth without any doubt or possibility of exception, then proof is not possible within a scientific framework.  Proofs are only possible in logic and in mathematics where there are well defined rules within the discipline.  In those two fields, once a proposition has been proven, that proof is complete and will remain valid.  In contrast, scientific knowledge is the best explanation for the results of current experimental observations among all the available options.  As additional evidence and observations are made, the facts may require modifications and adjustments to the theory.  If an experiment is done that contradicts the current scientific paradigm, then that theory is not wholly true and must be refined or discarded.  Therefore, scientific ideas can be disproved, but never absolutely proven.