Could you somehow prove that there is no optimal learning theory, or do you derive your rejection of rationalism just from your difficulty to find it?
This article is not ideal, but it lists many common misconceptions about how (frequentist) stats relate to reality. These aren’t math misunderstandings, they are real-world interpretation misunderstandings. https://link.springer.com/article/10.1007/s10654-016-0149-3 …
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There are corresponding (fatal) misunderstandings about how Bayesian methods relate to reality.
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