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byrnema comments on What is Bayesianism? - Less Wrong
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To quote from Gelman's rejoinder that Phil Goetz mentioned,
So, speaking very loosely, Bayesianism is to science, inductive logic, and Aristotelianism as frequentism is to math, deductive logic, and Platonism. That is, Bayesianism is synthesis; frequentism is analysis.
Interesting! That makes a lot of sense to me, because I had already made connections between science and Aristotelianism, pure math and Platonism.