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Worth remembering that a model can be "wrong", but still useful and "correct" within a set of situations we care about. We know that thermodynamics is "wrong", but it's right most of the time, often enough for us to trust our lives to it every day. Though you already know that :-)
I'm curious though, what specifically about thermodynamics being "wrong" were you referring to?
But, I think the point of science is not finding correct theories. This is the separate realm of philosophy. Science is about approximating an understanding of "how".
Ciao
PS: You make an unproven premise: "[an] infinite number of theories can explain [an observation]". Why would you say that? I could just as easily disagree.
Catch up on your Goedel -- it's only 70 years old now.
I wonder why you started by quoting Bayes theorem then not reference it?
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