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May 26th, 2020
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  1. Mathematics is about abstract relations between abstract entities, governed entirely by assumptions. As long as the assumptions hold, the theorems hold. (Though the assumptions might not be explicitly stated. In fact, most of the "obvious" assumptions are not only not stated, most people are not aware of making them in the first place.) Physics is about empirical pattern-finding in the physical world. To apply a mathematical theorem to the physical world, you first need to ensure the assumptions hold in the physical world. This seems to me a rather impossible task. Physical world facts are empirical and induced by inductuctive reasoning. Assumptions needed by mathematics are absolute. Therefore the most you can say is that a mathematical theorem might apply to a physical situation with some probability, no more. (Even that will rely on your prior probability distributions.)
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