Carnapian inductive logic for Markov chains

Erkenntnis 35 (1-3):439 - 460 (1991)
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Abstract

Carnap's Inductive Logic, like most philosophical discussions of induction, is designed for the case of independent trials. To take account of periodicities, and more generally of order, the account must be extended. From both a physical and a probabilistic point of view, the first and fundamental step is to extend Carnap's inductive logic to the case of finite Markov chains. Kuipers (1988) and Martin (1967) suggest a natural way in which this can be done. The probabilistic character of Carnapian inductive logic(s) for Markov chains and their relationship to Carnap's inductive logic(s) is discussed at various levels of Bayesian analysis.

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Brian Skyrms
University of California, Irvine

References found in this work

La Prévision: Ses Lois Logiques, Ses Sources Subjectives.Bruno de Finetti - 1937 - Annales de l'Institut Henri Poincaré 7 (1):1-68.
The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.
Degree of confirmation’ and Inductive Logic.Hilary Putnam - 1963 - In Paul Arthur Schilpp (ed.), The philosophy of Rudolf Carnap. La Salle, Ill.,: Open Court. pp. 761-783.

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