Meehan, Alexander and Zhang, Snow
(2020)
The Borel-Kolmogorov paradox is your paradox too: A puzzle for conditional physical probability.
[Preprint]
Abstract
The Borel-Kolmogorov paradox is often presented as an obscure problem that certain mathematical accounts of conditional probability must face. In this paper, we point out that the paradox arises in the physical sciences, for physical probability or chance. By carefully formulating the paradox in this setting, we show that it is a puzzle for everyone, regardless of one's preferred probability formalism. We propose a treatment which is inspired by the approach that scientists took when confronted with these cases.
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