I'm deep into the biography of Kurt Godel (I'm wading into waters that I clearly know very little about), considered by some to be the greatest mathematician of the 20th century. He was a quiet, strange, somewhat paranoid man. His incompleteness theorem seems to have implications far afield from mathematics. Godel's theorem suggests that no formal system is complete; and this simple premise has implications for our conception of the human brain/mind.
What is a brain? A complex physical object? A machine? A computer? Can a brain, using logic and reason, really understand (contain) itself? Godel seems to conclusively prove that there are some things that are not conclusively provable (although, they are true). In these cases, we rely on our intuition 'to know,' that they are true. What is intuition? How does it work? How is it possible that the universe adheres to rules formulated by our brains? If the brain is more than a rule-based system, what is it? How can we ever know whether we are seeing clearly, or living in a world of delusion?
This thought occurs to me: our conception of the brain, reflects our conception of the universe. If quantum mechanics applies to the universe, does it also, by necessity, apply to our brains? Once you step into the hall of mirrors, you discover more mirrors - the more you look, the more you see, the less you really know. "The farther one travels, the less one really knows." - George Harrison.
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