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The Logic of Conditionals

An Application of Probability to Deductive Logic

  • Book
  • © 1975

Overview

Authors:
  1. Ernest W. Adams
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Part of the book series: Synthese Library (SYLI, volume 86)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XIII
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  2. The Indicative Conditional

    • Ernest W. Adams
    Pages 1-42

  3. Mathematical Theory of Probabilistic Consistency and Universal Probabilistic Soundness

    • Ernest W. Adams
    Pages 43-68

  4. Motives for Wanting to Assure the Soundness of Reasoning; Truth and Probability as Desirable Attributes of Conclusions Reached in Reasoning

    • Ernest W. Adams
    Pages 69-102

  5. A Hypothesis Concerning Counterfactuals; Probability Change Aspects of Inference

    • Ernest W. Adams
    Pages 103-147

  6. Back Matter

    Pages 148-161
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Keywords

About this book

Of the four chapters in this book, the first two discuss (albeit in consider­ ably modified form) matters previously discussed in my papers 'On the Logic of Conditionals' [1] and 'Probability and the Logic of Conditionals' [2], while the last two present essentially new material. Chapter I is relatively informal and roughly parallels the first of the above papers in discussing the basic ideas of a probabilistic approach to the logic of the indicative conditional, according to which these constructions do not have truth values, but they do have probabilities (equal to conditional probabilities), and the appropriate criterion of soundness for inferences involving them is that it should not be possible for all premises of the inference to be probable while the conclusion is improbable. Applying this criterion is shown to have radically different consequences from the orthodox 'material conditional' theory, not only in application to the standard 'fallacies' of the material conditional, but to many forms (e. g. , Contraposition) which have hitherto been regarded as above suspi­ cion. Many more applications are considered in Chapter I, as well as certain related theoretical matters. The chief of these, which is the most important new topic treated in Chapter I (i. e.

Bibliographic Information

  • Book Title: The Logic of Conditionals

  • Book Subtitle: An Application of Probability to Deductive Logic

  • Authors: Ernest W. Adams

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-94-015-7622-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1975

  • Hardcover ISBN: 978-90-277-0631-7Published: 31 October 1975

  • Softcover ISBN: 978-90-481-8343-2Published: 25 December 2010

  • eBook ISBN: 978-94-015-7622-2Published: 09 March 2013

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: XIII, 161

  • Topics: Logic

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