Manfred comments on Michael Jordan dissolves Bayesian vs Frequentist inference debate [video lecture] - Less Wrong Discussion
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Fortunately, someone else has already done the work for me :)
http://lesswrong.com/r/discussion/lw/7ck/frequentist_vs_bayesian_breakdown_interpretation/
So Mike seems to be talking about (3) - whether to use "bayesian" or "frequentist" decision-making methods. However, the distinction I see (and use) most often is something like (2) - interpreting probabilities as reflecting a state of incomplete information (bayesian) or as reflecting a fact about the external world (frequentist).
Thanks.