Can the sciences prove that something is true? "Proof" in this context means to demonstrate with certainty that something is the case. The emphasis here is on "certainty".
I would argue that while certainty is possible in mathematics and deductive logic, it is not possible in the sciences. There is always the possibility, however remote, that something might not be the case. This is in part because of the fact that science crucially rests on empirical evidence, and empirical evidence is by its very nature uncertain. As Hume pointed out centuries ago, the mere fact the sun has always risen each day does not entail that the sun will rise tomorrow. Although it is likely that it will rise, it is conceivable that it might not. At most, the sciences can provide an overwhelming weight of logical reasoning and empirical evidence in support of a notion that something is the case, but they cannot provide us with certainty that something is the case.
But what do you think?