Science attempts to read the books in the library, whereas religion merely observes that there are books.

Here's an example. The world that you see with your eyes, is not the same world you study in school. In school they teach you about points and lines, and you learn about Euclidean geometry, which has lengths and angles and such - and in Euclidean geometry any two lines intersect at exactly one point, except for parallel lines that never intersect anywhere.

But you never SEE any such world, ever. If you look at the parallel lines of a railroad track, it is abundantly clear that they meet in the distant horizon. The renaissance artists knew all about this, they called it "perspective". DaVinci was even able to calculate a lot of it based on stereoscopic vision.

But the mathematicians, they figured out that there's another geometry that describes perspective - it's called projective geometry. You can easily create a projective plane from a Euclidean plane - what you do is you take a maximal family of parallel lines and create a "point at infinity" where they meet. You do this repeatedly for every family of parallel lines (which means every angle around the origin, so you end up with a bunch of points at infinity that form a circle), and so then you connect all the points at infinity with an additional line. You now have a "projective plane" which is also called an extended Euclidean plane.

The Euclidean plane was known to the ancient Greeks, but the projective plane was only developed in the 1800's by Felix Klein, who was studying mathematical tools developed by Bernhard Riemann. The interesting thing is that topology has very little to do with stereo vision - EXCEPT for the rather astounding realization that any time you get two observers in a room, the combined perspective changes the entire geometry of reality!

Same thing happens in religion sometimes - you get one Christian in a room they tell you about God, but if you get a bunch of Christians in a room they start speaking in tongues.