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Probability and Inductive Logic [PDF]

Reasoning from inconclusive evidence, or 'induction', is central to science and any applications we make of it. For that reason alone it demands the attention of philosophers of science. This element explores the prospects of using probability theory to provide an inductive logic: a framework for representing evidential support.
Eagle, A.
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The Logical Syntax of Inductive Probability-gradings [PDF]

, 1977
Abstract This chapter elucidates the logical syntax of inductive probability-gradings. It first presents some logical similarities between inductive and mathematical probability. The inductive probability-gradings conform to quite different principles from those for mathematical probability in regard to contraposition; in regard to the ...
L. Jonathan Cohen
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Probability logic, logical probability, and inductive support

Synthese, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Probability Logic and Probabilistic Induction

Epidemiology, 1998
This article reviews some philosophical aspects of probability and describes how probability logic can give precise meanings to the concepts of inductive support, corroboration, refutation, and related notions, as well as provide a foundation for logically sound statistical inference.
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The Rule of Succession, Inductive Logic, and Probability Logic

The British Journal for the Philosophy of Science, 1975
Since the later seventeenth century there has existed a theory of inductive probability, which attained an impressive mathematical development at the hands of Laplace; in the nineteenth century it was identified by its advocates as a branch of logic, dealing with a type of inference ostensibly a generalisation of the deductive variety.
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Logical Probability, Mathematical Statistics, and the Problem of Induction

Synthese, 1969
In this paper I want to discuss some basic problems of inductive logic, i.e. of the attempt to solve the problem of induction by means of a calculus of logical probability. I shall try to throw some light upon these problems by contrasting inductive logic, based on logical probability, and working with undefined samples of observations, with ...
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Integration of logic and probability in inductive and terminological reasoning

Intelligenza Artificiale: The international journal of the AIxIA, 2014
Representing uncertain information is crucial for modeling real world domains. This has been fully recognized both in the field of Logic Programming and of Description Logics (DLs), with the introduction of probabilistic logic languages (PLL) in logic and with various probabilistic extensions of DLs respectively.
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