Carnapian inductive logic for Markov chains

Erkenntnis 35 (1-3):439 - 460 (1991)
Authors
Brian Skyrms
University of California, Irvine
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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Vagueness and Inductive Molding.J. R. Welch - 2007 - Synthese 154 (1):147-172.
Carnapian Inductive Logic for a Value Continuum.Brian Skyrms - 1993 - Midwest Studies in Philosophy 18 (1):78-89.
Probability and Logic.Kenny Easwaran - 2014 - Philosophy Compass 9 (12):876-883.

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