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  1. The continuum of inductive methods.Rudolf Carnap - 1952 - [Chicago]: University of Chicago Press.
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  • The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.
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  • The uncertain reasoner's companion: a mathematical perspective.J. B. Paris - 1994 - New York: Cambridge University Press.
    Reasoning under uncertainty, that is, making judgements with only partial knowledge, is a major theme in artificial intelligence. Professor Paris provides here an introduction to the mathematical foundations of the subject. It is suited for readers with some knowledge of undergraduate mathematics but is otherwise self-contained, collecting together the key results on the subject, and formalising within a unified framework the main contemporary approaches and assumptions. The author has concentrated on giving clear mathematical formulations, analyses, justifications and consequences of the (...)
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  • Probability: The deductive and inductive problems.W. E. Johnson - 1932 - Mind 41 (164):409-423.
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  • (1 other version)Studies in Inductive Logic and Probability.R. Carnap & R. C. Jeffrey - 1975 - British Journal for the Philosophy of Science 26 (2):143-149.
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  • Common sense and maximum entropy.Jeff Paris - 1998 - Synthese 117 (1):75-93.
    This paper concerns the question of how to draw inferences common sensically from uncertain knowledge. Since the early work of Shore and Johnson (1980), Paris and Vencovská (1990), and Csiszár (1989), it has been known that the Maximum Entropy Inference Process is the only inference process which obeys certain common sense principles of uncertain reasoning. In this paper we consider the present status of this result and argue that within the rather narrow context in which we work this complete and (...)
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  • Some observations on induction in predicate probabilistic reasoning.M. J. Hill, J. B. Paris & G. M. Wilmers - 2002 - Journal of Philosophical Logic 31 (1):43-75.
    We consider the desirability, or otherwise, of various forms of induction in the light of certain principles and inductive methods within predicate uncertain reasoning. Our general conclusion is that there remain conflicts within the area whose resolution will require a deeper understanding of the fundamental relationship between individuals and properties.
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  • Explication of Inductive Probability.Patrick Maher - 2010 - Journal of Philosophical Logic 39 (6):593 - 616.
    Inductive probability is the logical concept of probability in ordinary language. It is vague but it can be explicated by defining a clear and precise concept that can serve some of the same purposes. This paper presents a general method for doing such an explication and then a particular explication due to Carnap. Common criticisms of Carnap's inductive logic are examined; it is shown that most of them are spurious and the others are not fundamental.
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  • Atom Exchangeability and Instantial Relevance.J. B. Paris & P. Waterhouse - 2009 - Journal of Philosophical Logic 38 (3):313-332.
    We give an account of some relationships between the principles of Constant and Atom Exchangeability and various generalizations of the Principle of Instantial Relevance within the framework of Inductive Logic. In particular we demonstrate some surprising and somewhat counterintuitive dependencies of these relationships on ostensibly unimportant parameters, such as the number of predicates in the overlying language.
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  • A Continuum of Inductive Methods Arising from a Generalized Principle of Instantial Relevance.C. J. Nix & J. B. Paris - 2006 - Journal of Philosophical Logic 35 (1):83-115.
    In this paper we consider a natural generalization of the Principle of Instantial Relevance and give a complete characterization of the probabilistic belief functions satisfying this principle as a family of discrete probability functions parameterized by a single real δ ∊ [0, 1).
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  • Some Aspects of Polyadic Inductive Logic.Jürgen Landes, Jeff Paris & Alena Vencovská - 2008 - Studia Logica 90 (1):3-16.
    We give a brief account of some de Finetti style representation theorems for probability functions satisfying Spectrum Exchangeability in Polyadic Inductive Logic, together with applications to Non-splitting, Language Invariance, extensions with Equality and Instantial Relevance.
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  • The Uncertain Reasoner’s Companion. [REVIEW]J. B. Paris - 1997 - Erkenntnis 46 (3):397-400.
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