Theories of Everything with Curt Jaimungal David Wolpert on Free Will, The Limits of Science, No Free Lunch theorem, and Mathematical Universe
Jan 28, 2022
In this intriguing discussion, David Wolpert, a computer scientist renowned for developing the No Free Lunch theorem, dives into the limitations of scientific knowledge. He challenges the reliability of mathematical proofs and Bayesian reasoning, emphasizing their uncertainties. The conversation explores themes of free will, nihilism, and the beauty in life's transient nature, linking these ideas to Zen Buddhism. Wolpert also reflects on the philosophical implications of existence, urging listeners to reconsider the connections between mathematics, art, and personal agency.
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Proof Certainty
- Mathematical proofs aren't 100% certain due to potential errors and the need for validation.
- Computer-aided proofs also introduce uncertainty because the code itself needs verification.
Bayesian Reasoning's Weakness
- Bayesian reasoning's validity depends heavily on the chosen prior probabilities.
- There's no foolproof method for determining the correct priors, leading to potential biases.
No Free Lunch Theorem Implication
- No Free Lunch theorems state that all algorithms perform equally well when averaged over all possible problems.
- This means any algorithm's superior performance in some situations is balanced by its inferior performance in others.