The Relationship Between Mathematics and the Physical World

Sir Roger says understanding is not to be simply reduced to belief or intuition. When we find a mathematical result, it's more like a discovery than an invention,. So it's there already, and you find it. And the truths are there, and they're there independently of us. If we're lucky, we can find one of these truths and see why it is a truth. In that physical world, which seems to be operating according to mathematics, there are entities which seem to be able to perceive and understand and have consciousness.