Deductively Definable Logies of Induction

Journal of Philosophical Logic 39 (6):617 - 654 (2010)

A broad class of inductive logics that includes the probability calculus is defined by the conditions that the inductive strengths [A|B] are defined fully in terms of deductive relations in preferred partitions and that they are asymptotically stable. Inductive independence is shown to be generic for propositions in such logics; a notion of a scale-free inductive logic is identified; and a limit theorem is derived. If the presence of preferred partitions is not presumed, no inductive logic is definable. This no-go result precludes many possible inductive logics, including versions of hypothetico-deductivism
Keywords Bayesianism  Confirmation  Induction  Non-probabilistic
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DOI 10.1007/s10992-010-9146-2
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References found in this work BETA

The Logic of Decision.Richard Jeffrey - 1965 - University of Chicago Press.
Bayes or Bust.John Earman - 1992 - British Journal for the Philosophy of Science 46 (3):399-424.
A Material Theory of Induction.John D. Norton - 2003 - Philosophy of Science 70 (4):647-670.
Bayes or Bust?John Earman - 1992 - Bradford.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.

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Citations of this work BETA

A Demonstration of the Incompleteness of Calculi of Inductive Inference.John D. Norton - forthcoming - British Journal for the Philosophy of Science.

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