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The Difference between a priori and a posteriori Probability

Imagine a pure thought experiment: an abstract, logical world where everything is true by definition.In this world, we have a fair dice. The pure mathematical a priori probability of rolling a 6 on this dice is 1/6. That probability has necessary truth – but limited only to the abstract fair game of dice one is imagining. The analytic a priori propositions that express the imaginary world and probability in question do have necessary truth – but limited to this abstract analytic a priori...

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