What do you mean by ungrounded?? By definition a theory is grounded on axioms
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Theory does not need empirical validation, humanity has advanced thanks to mathematics without requiring empirical validation
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Are you saying that solving P vs NP yields no progress?
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Abolition of slavery? Womens' suffrage?
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I would say: there is no progress without theory, as empirical results could just be a coincidence.
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Sounds like an evolutionary algorithm to me
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That’s a very un-French attitude ;)
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What about using the central limit theorem?
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