van Fraassen's cube factory problem shows that applying indifference to side-length, volume, and surface-area partitions yields mutually inconsistent priors over the same state space.
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Bas van Fraassen is a contemporary philosopher who studies how we understand questions and knowledge. He developed influential ideas about how questions work and what it means to explain things.
cube factory problem(as the specific philosophical puzzle being discussed)
A famous thought experiment about a factory that produces cubes of unknown sizes, used to show why different ways of making assumptions about probability can contradict each other.
partition(Used to describe the structure of Pascal's decision matrix)
A division of the hypothesis space into mutually exclusive and jointly exhaustive alternatives, such as 'God exists' and 'God does not exist' by the law of excluded middle.