If approximation is close enough, it might as well be the real thing.

The culmination of which is that your version of reality is as good as any other.

If someone tells you a fantastical tale of why the sun comes up every morning and his tale approximates the observable behavior of the sun, then his tale is as good as any other tale.

Holes are found in all tales, and they're subsequently covered over with additional details. As long as close approximation can be maintained, what difference is there from the "real" thing?