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AMA | October 2022
Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas
The Many-Worlds Interpretation of Quantum Mechanics
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In the particular case of momentum equals mass times velocity, it is an implication of Hamiltonian mechanics. But I don't think that's the motivation that led Hamilton to invent Hamiltonian Mechanics. Irrational numbers are very, very important in physics and math. If you have some span of real numbers between 1 and 2, almost all of them are irrational.
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