But it does, in a sense. See, for example, The Problem of Induction[1].
for every theory and result it states it gives you the tools and methods to go away and verify it for yourself.
The scientific method is certainly my preferred choice for developing new knowledge, and it appears to be better than any other system developed to date (certainly better than accepting weird folklore from ancient books). But, in a manner of speaking, there is a certain sort of "faith" involved with science as well.
Religion says "You can't know this. You can't ever know this. You just have to trust me on this."
What makes science so much more compelling than religion, in my book, is the testability. What we think we know about the world, as a result of science, enables us to do things with tangible benefits... cars, computers, jet airplanes, Mars probes, mp3 players, etc. I don't see any way to test much of anything that religion tells us is true. And to the best of my knowledge, when people have tried to validate religious beliefs (like the power of prayer) the results have not come down solidly on the side of religious belief.