David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Synthese 156 (3):563--585 (2007)
The reference class problem arises when we want to assign a probability to a proposition (or sentence, or event) X, which may be classified in various ways, yet its probability can change depending on how it is classified. The problem is usually regarded as one specifically for the frequentist interpretation of probability and is often considered fatal to it. I argue that versions of the classical, logical, propensity and subjectivist interpretations also fall prey to their own variants of the reference class problem. Other versions of these interpretations apparently evade the problem. But I contend that they are all “no-theory” theories of probability - accounts that leave quite obscure why probability should function as a guide to life, a suitable basis for rational inference and action. The reference class problem besets those theories that are genuinely informative and that plausibly constrain our inductive reasonings and decisions. I distinguish a “metaphysical” and an “epistemological” reference class problem. I submit that we can dissolve the former problem by recognizing that probability is fundamentally a two-place notion: conditional probability is the proper primitive of probability theory. However, I concede that the epistemological problem remains.
|Keywords||Probability Conditional probability Reference class problem Frequentist Classical Logical Propensity Subjectivist interpretations of probability Kolmogorov Popper|
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Citations of this work BETA
Luke Glynn (2010). Deterministic Chance. British Journal for the Philosophy of Science 61 (1):51–80.
Lisa Miracchi (2015). Competence to Know. Philosophical Studies 172 (1):29-56.
Peter Baumann (2014). No Luck With Knowledge? On a Dogma of Epistemology. Philosophy and Phenomenological Research 89 (3):523-551.
Michael G. Titelbaum (2013). Ten Reasons to Care About the Sleeping Beauty Problem. Philosophy Compass 8 (11):1003-1017.
Alan Hájek (2012). The Fall of “Adams' Thesis”? Journal of Logic, Language and Information 21 (2):145-161.
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