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TheOtherDave comments on The Dilemma: Science or Bayes? - Less Wrong
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On your view, is there such a thing as a Nature against which models can be tested and which arbitrates among them?
Not mathematical models... These can be motivated by experiment, but they are not bound to make accurate predictions. If that's what you were asking...
Mathematical theories and constructs aren't bound by nature...but models? Models are there to model something, surely?