Weirdly, Albert Einstein discovered his theories by guessing, until he found a working solution that matched the known constraints, and then stopped. It is quite possible that the parts of the solution space he did not probe contain relevant alternative models.
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Replying to @Plinz
Isn't that how science has always worked? You find *a* mathematical model that fits your available data, and as soon as someone finds data that doesn't fit, a new model is required. Would have guessed it's a new development to have multiple theories and a lack of data ...
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Replying to @lnwirz
Isn't it obvious that we need to map out the space of all possible theories instead of stopping after the first one that might work?
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Replying to @Plinz
In a way this is what is being done. Only, the employed appoach is not to find all possible theories that match current data, but rather to take the first theory that works and then try to disprove it.
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The question might be which method is more efficient; I do not know. Apart from efficiency we only loose theories that are indistinguishable from the excepted one.
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The Wolfram is correct: exhaustive search, starting from shorter theories, is the way to go.
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