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The Logic of Conditionals

An Application of Probability to Deductive Logic

  • Book
  • © 1975

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Part of the book series: Synthese Library (SYLI, volume 86)

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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.

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Table of contents (4 chapters)

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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