Two Dimensions of Why?

I've been listening to an interview with Dr John Polkinghorne, particle physicist and theologian, and co-director of the Psychology and Religion Research Group at Cambridge University. His conclusion is that "under the skin, science or religion are cousins in the search for truth". While science is useful for explaining events, there's another dimension to reality.

Ask a scientist, as a scientist, all that he or she can tell you about music and they'll say it's neural response; things firing off in our brains to the impact of soundwaves hitting the ear-drum. And of course that's true, and in its own way it's worth knowing. But there's much more to music. There is a deep mystery about music; that that succession of sounds in time can speak to us, and I think speak to us truly, of a timeless form of beauty.

He also gives the following metaphor of how science and religion work together to make sense of the world:

I mean we all know you can ask both the how question and the why question. The kettle's boiling because burning gas heats the water. The kettle's boiling, because I want to make a cup of tea and would you like to have one? I don't have to choose between those two answers, they're both true. And in fact if I'm going to understand the mysterious events of the boiling kettle, I need both answers. Similarly I need both science and religion. I need to be two-eyed when I look at the world.