In the past few weeks, I have witnessed philosophers, William Lane Craig and Victor Reppert, focus in on a specific atheistic charge: "there is no evidence that God exists." Their response is certainly in line with that of Richard Swinburne and his concept of a correct C-inductive argument. Let's give a few examples:
If God exists, a world with fine-tuning is more likely to exist than a world without fine-tuning.
If God exists, a world in which we recognize objective laws of logic, science, morality, and aesthetics is more likely to exist than a world without such recognition.
If God exists, a world in which contingent being have external causes is more likely to exist than a world in which they do not have external causes.
If God exists, a world in which the miraculous occurs is more likely to exist than a world in which there are no miracles.
Of course, the absence of these characteristics is not conclusive evidence that God does not exist, either. And, that's what it comes down to. Perhaps what the atheist should say is not that there is no evidence that God exists, but rather that there is no conclusive evidence that God exists. However, even that doesn't seem to be much of a claim for atheism. For, it could still be more plausible that God exists than not, even if the evidence is not conclusive per se. So, let's revise this some more. What the atheist should ultimately be saying is that there is no compelling evidence that God exists.*
For any fact X, if X's instantiation makes God's existence more plausible than it would be the case if ~X is instantiated, then the fact of X counts as evidence that God exists. Whether X provides us with conclusive or compelling evidence that God exists is moot.
*This still isn't enough to justify atheism, though, in any traditional sense of the term, "atheism." What the atheist would need to show is not only that there is no compelling evidence that God exists, but also that there is compelling evidence that God does not exist. The former would only justify non-theistic alternatives, such as agnosticism.