Synthese Library

The Logic of Conditionals

An Application of Probability to Deductive Logic

Authors: Adams, E.W.

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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.

Table of contents (4 chapters)

Table of contents (4 chapters)
  • The Indicative Conditional

    Pages 1-42

    Adams, Ernest W.

  • Mathematical Theory of Probabilistic Consistency and Universal Probabilistic Soundness

    Pages 43-68

    Adams, Ernest W.

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

    Pages 69-102

    Adams, Ernest W.

  • A Hypothesis Concerning Counterfactuals; Probability Change Aspects of Inference

    Pages 103-147

    Adams, Ernest W.

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-94-015-7622-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Logic of Conditionals
Book Subtitle
An Application of Probability to Deductive Logic
Authors
Series Title
Synthese Library
Series Volume
86
Copyright
1975
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-7622-2
DOI
10.1007/978-94-015-7622-2
Hardcover ISBN
978-90-277-0631-7
Softcover ISBN
978-90-481-8343-2
Series ISSN
0166-6991
Edition Number
1
Number of Pages
XIII, 161
Topics