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>I would argue that this is wrong. That's what physicists do, not mathematicians. Mathematics is about abstract ideas, which can live regardless of nature or application.

Regardless of nature of application, yes, but not so abstract otherwise.

Many mathematicians consider math to be more like physics, where you discover things, there is experiments, etc., than a mere axiomatic system where you invent things.

That was an increasingly popular idea about math in the 20th century (and haven't heard otherwise in the 21st).




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