Roger Penrose is physicist, mathematician, and philosopher at University of Oxford. He has made fundamental contributions in many disciplines from the mathematical physics of general relativity and cosmology to the limitations of a computational view of consciousness.

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Here's the outline of the episode. On some podcast players you should be able to click the timestamp to jump to that time.

OUTLINE:00:00 - Introduction03:51 - 2001: A Space Odyssey09:43 - Consciousness and computation23:45 - What does it mean to "understand"31:37 - What's missing in quantum mechanics?40:09 - Whatever consciousness is, it's not a computation44:13 - Source of consciousness in the human brain1:02:57 - Infinite cycles of big bangs1:22:05 - Most beautiful idea in mathematics