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by BeetleB
1024 days ago
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> While mathematics itself may be a human invention, it clearly describes a fundamental truth as evidenced by its continued reliance in producing effective models that describe the measurable world, which must be taken as a reflection of objective reality. It often describes the fundamental truth, because much of its origins was for that purpose, not because all mathematics is fundamentally true. There's plenty of mathematics that is not modeled by the measurable world - almost by design. Just pick a different set of axioms and you'll get mathematical truths that may conflict with reality. According to many mathematicians, uncountable infinities don't exist, and they focus on doing math without relying on them. There goes the real number line. From a scientist's perspective, either they exist or they don't. Both cannot be true. From a mathematician's perspective, both are truths. Similarly, either the Axiom of Choice is true or it isn't. Yet the bulk of mathematics is fine with or without it. |
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