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#124 – Stephen Wolfram: Fundamental Theory of Physics, Life, and the Universe

Lex Fridman Podcast

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Mathematics and Axioms: The Path Through the Multi-Way Graph

Mathematics is derived from a small set of axioms that generate theorems./nProofs in mathematics involve using axioms to show the equality of expressions./nMathematical space is connected by axioms, creating a multi-way graph of expressions./nA proof is a path through the multi-way graph that explains how expressions are related./nGoedel's theorem states that there are paths of infinite length in mathematics without an upper bound.

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