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Sir Roger Penrose | The Emperor’s New Mind: Consciousness & Computer | INTO THE IMPOSSIBLE Podcast (#311)
Into the Impossible With Brian Keating
The Platoon of Mathematics
I like to do this with an illustration which I think first had in shadows of the mind. I had three types of existence in a sense. And if you're a mathematician, you very strongly get the feeling that it's a bit like geology or archaeology or something. You're discovering things which are out there. You don't invent the theorems. You discover truths which are in some sense out there in a world, but it's not the physical world. The more you know about the nature of matter, you see it's granular in certain respects. But when you think of the whole totality of the mathematical work that's been done, that's explored, If you
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