Probabilistic Thinking

Introduction

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A philosophy of a posteriori thought.

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Can probabilistic thinking be a unified theory for reason and belief updating? It would need to fully subordinate bayes’ theorem and solomonoff induction (the latter of which may already be a unified theory of its own).

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probabilistic thinking requires thinking mathematically, at least in broad strokes. I’ll try to map out the technical underpinnings of probabilistic thinking.

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Updating

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Using probabilistic thinking involves epistemic rationality.

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  1. bayes’ theorem: posteriors are determined by a combination of prior probabilities and data / likelihood
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  1. Predictability: truth is determined through what can be predicted ( #knowledge as testable prediction)
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(2 and 3 redundant)

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