Church's Thesis and Hume's Problem

1997-01-01T00:00:00Z (GMT) by Kevin T. Kelly Oliver Schulte
We argue that uncomputability and classical scepticism are both reflections of inductive underdetermination, so that Church's thesis and Hume's problem ought to receive equal emphasis in a balanced approach to the philosophy of induction. As an illustration of such an approach, we investigate how uncomputable the predictions of a hypothesis can be if the hypothesis is to be reliably investigated by a computable scientific method.

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