Induction and probability
| Abstract | Arguably, Hume's greatest single contribution to contemporary philosophy of science has been the problem of induction (1739). Before attempting its statement, we need to spend a few words identifying the subject matter of this corner of epistemology. At a first pass, induction concerns ampliative inferences drawn on the basis of evidence (presumably, evidence acquired more or less directly from experience)—that is, inferences whose conclusions are not (validly) entailed by the premises. Philosophers have historically drawn further distinctions, often appropriating the term “induction” to mark them; since we will not be concerned with the philosophical issues for which these distinctions are relevant, we will use the word “inductive” in a catch-all sense synonymous with “ampliative”. But we will follow the usual practice of choosing, as our paradigm example of inductive inferences, inferences about the future based on evidence drawn from the past and present. | |||||||||
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Peter Gärdenfors (1990). Induction, Conceptual Spaces and AI. Philosophy of Science 57 (1):78-95.
James Cargile (1998). The Problem of Induction. Philosophy 73 (2):247-275.
James Beebe (2008). Can Rationalist Abductivism Solve the Problem of Induction? Pacific Philosophical Quarterly 89 (2):151-168.
John D. Norton (2003). A Material Theory of Induction. Philosophy of Science 70 (4):647-670.
D. C. Stove (1986). The Rationality of Induction. Oxford University Press.
P. D. Magnus (2008). Demonstrative Induction and the Skeleton of Inference. International Studies in the Philosophy of Science 22 (3):303 – 315.
John D. Norton (2010). There Are No Universal Rules for Induction. Philosophy of Science 77 (5):765-777.
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