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The Rule of Succession, Inductive Logic, and Probability Logic
The British Journal for the Philosophy of Science, 1975Since 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, 1969In 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, 2014Representing 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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Predictive probability and analogy by similarity in inductive logic
Erkenntnis, 1995Theλ-continuum of inductive methods was derived from an assumption, calledλ-condition, which says that the probability of finding an individual having propertyx j depends only on the number of observed individuals having propertyx j and on the total number of observed individuals ...
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Inductive Logic as Explication: The Evolution of Carnap’s Notion of Logical Probability
The Monist, 2018According to a popular interpretation, Carnap's interpretation of probability had evolved from a logical towards a subjective conception. However Carnap himself insisted that his basic philosophical view of probability was always the same. I address this apparent dash between Carnap's self-identification and the subsequent interpretations of his work ...
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PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1976
Nature is to us like an infinite ballot box, the contents of which are being continually drawn, ball after ball, and exhibited to us. Science is but the careful observation of the succession in which balls of various character present themselves ([12], p. 150).The project of formulating an account of scientific inference in terms of concepts drawn from
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Nature is to us like an infinite ballot box, the contents of which are being continually drawn, ball after ball, and exhibited to us. Science is but the careful observation of the succession in which balls of various character present themselves ([12], p. 150).The project of formulating an account of scientific inference in terms of concepts drawn from
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The Logical Syntax of Inductive Probability-gradings
1977Abstract 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 ...
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Probability and Inductive Logic
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.openaire +1 more source
Studies in Inductive Logic and Probability. Volume 1.
Journal of the Royal Statistical Society. Series A (General), 1973D. V. Lindley +2 more
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The Basic Rules of Probability
2001This chapter summarizes the rules you have been using for adding and multiplying probabilities, and for using conditional probability. It also gives a pictorial way to understand the rules. The rules that follow are informal versions of standard axioms for elementary probability theory.
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