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this post was submitted on 03 Feb 2026
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Asklemmy
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Realistically, that doesn't happen. At least not if we consider mathematics to be the useful kind of mathematics. The stuff that helps you do statistics/finances/engineering. Because that type of mathematics is based on reality and for the mathematics to be inconsistent would mean that reality is inconsistent, and then we have much much bigger problems.
As for the higher abstract maths (which is closer to philosophy anyways) yeah such things have happened many times and led to revolutionary insights each time. An example is when we started basing everything on set theory (which in medieval times did not really exist). But that's a philosophical question, not one that concerns daily life.