Authors
Colin Howson
Last affiliation: London School of Economics
Abstract
A common criticism of Hume’s famous anti-induction argument is that it is vitiated because it fails to foreclose the possibility of an authentically probabilistic justification of induction. I argue that this claim is false, and that on the contrary, the probability calculus itself, in the form of an elementary consequence that I call Hume’s Theorem, fully endorses Hume’s argument. Various objections, including the often-made claim that Hume is defeated by de Finetti’s exchangeability results, are considered and rejected.
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Reprint years 2013
DOI 10.1016/j.shpsa.2013.03.002
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References found in this work BETA

Objective Knowledge: An Evolutionary Approach.Karl Raimund Popper - 1972 - Oxford, England: Oxford, Clarendon Press.
Informal Rigour and Completeness Proofs.Georg Kreisel - 1967 - In Imre Lakatos (ed.), Problems in the Philosophy of Mathematics. North-Holland. pp. 138--157.
De Finetti, Countable Additivity, Consistency and Coherence.Colin Howson - 2008 - British Journal for the Philosophy of Science 59 (1):1-23.
The Rule of Succession.Sandy L. Zabell - 1989 - Erkenntnis 31 (2-3):283 - 321.
Must the Logical Probability of Laws Be Zero?C. Howson - 1973 - British Journal for the Philosophy of Science 24 (2):153-163.

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Citations of this work BETA

Does Information Inform Confirmation?Colin Howson - 2016 - Synthese 193 (7):2307-2321.

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