In its quest to discover how the patterns of reality are organised, the story of modern science hints at a picture of a set of Chinese puzzle boxes, each one more intricately structured and wondrous than the last. Every time the final box appears to have been reached, a key has been found which has opened up another, revealing a new universe even more breathtakingly improbable in its conception. We are now forced to suspect that, for human reason, there is no last box, that in some deeply mysterious, virtually unfathomable, self-reflective way, every time we open a still smaller box, we are actually being brought closer to the box with which we started, the box which contains our own conscious experience of the world. This is why no theory of knowledge, no epistemology, can ever escape being consumed by its own self-generated paradoxes. And this is why we must consider the universe to be irredeemably mystical.