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Synthese Library

Probabilistic Logics and Probabilistic Networks

Authors: Haenni, R., Romeijn, J.-W., Wheeler, G., Williamson, J.

  • Presents a groundbreaking framework within which various approaches to probabilistic logic naturally fit
  • Shows that there is potential to develop a general computational method for computing the required probabilities
  • Allows one to compare and contrast common ways of reasoning under uncertainty
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Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-007-0008-6
  • 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
  • ISBN 978-94-007-0007-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA in USD
  • ISBN 978-94-007-3443-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

While probabilistic logics in principle might be applied to solve a range of problems, in practice they are rarely applied --- perhaps because they seem disparate, complicated, and computationally intractable. This programmatic book argues that several approaches to probabilistic logic fit into a simple unifying framework in which logically complex evidence is used to associate probability intervals or probabilities with sentences. Specifically, Part I shows that there is a natural way to present a question posed in probabilistic logic, and that various inferential procedures provide semantics for that question, while Part II shows that there is the potential to develop computationally feasible methods to mesh with this framework. The book is intended for researchers in philosophy, logic, computer science and statistics. A familiarity with mathematical concepts and notation is presumed, but no advanced knowledge of logic or probability theory is required.

About the authors

Rolf Haenni is professor at the Department of Engineering and Information Technology of the University of Applied Sciences of Berne (BFH-TI) in Biel, Switzerland. He holds a PhD degree in Computer Science from the University of Fribourg, for which he received the prize for the best thesis in 1996. Jan-Willem Romeijn is an assistant professor at the Philosophy Faculty of the University of Groningen. He obtained degrees cum laude in both physics and philosophy, worked as a financial mathematician and received his doctorate cum laude from the University of Groningen in 2005. Gregory Wheeler is Senior Research Scientist at the Centre for Artificial Intelligence at the New University of Lisbon. He received a joint PhD in Philosophy and Computer Science from the University of Rochester in 2002. Jon Williamson is Professor of Reasoning, Inference and Scientific Method at the University of Kent. He completed his PhD in Philosophy in 1998 and in 2007 was Times Higher Education UK Young Researcher of the Year.

Reviews

“The authors have a wide range of experience in this field and, with this book, they aim at the ambitious and meaningful goal of showing how several distinct approaches to probabilistic logic can be incorporated into a general framework. … It will be particularly appreciated by researchers who would like a unifying view of the several approaches to probabilistic logic.” (Renato Pelessoni, Mathematical Reviews, June, 2015)

"The authors of this book come from different academic backgrounds and disciplines (evidential probability [Wheeler, computer science]; probabilistic argumentation [Haenni, computer science]; objective Bayesianism [Williamson, philosophy]; and statistical inference [Romeijn, philosophy and psychology]). Their common interest is to investigate different logical and probabilistic inferential systems and to produce an unified view of inference in probabilistic logic. The group also has an eye toward computational feasibility, leading them to investigate applications of probabilistic networks to the inferential systems they try to unify. This book is the result of research began in 2005 as part of a program called Progic funded by the Leverhulme Trust. The project sponsored a series of excellent conferences centering on the problem of integrating logic and probability. While the focus of the book is probabilistic

and statistical inference, it could perfectly well serve as an introduction to the different inferential systems the authors consider. The book represents a valuable step towards a solution of the difficult and interesting problems which arise when trying to combine probability and logic."
Horacio Arlo-Costa, Carnegie Mellon University, Pittsburgh, U.S.A.


‘Rolf Haenni, Jan-Willem Romeijn, Gregory Wheeler and Jon Williamson make a heroic tour de force through these theories of probabilistic reasoning, with the aim of identifying a unifying overarching framework.’
Jan Sprenger, Tilburg Center for Logic and Philosophy of Science in Metascience, The Netherlands

Read the complete review: http://www.springerlink.com/content/pr7j017516052304/


Table of contents (15 chapters)

  • Introduction

    Haenni, Prof. Rolf (et al.)

    Pages 3-10

  • Standard Probabilistic Semantics

    Haenni, Prof. Rolf (et al.)

    Pages 11-20

  • Probabilistic Argumentation

    Haenni, Prof. Rolf (et al.)

    Pages 21-31

  • Evidential Probability

    Haenni, Prof. Rolf (et al.)

    Pages 33-48

  • Statistical Inference

    Haenni, Prof. Rolf (et al.)

    Pages 49-61

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-007-0008-6
  • 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
  • ISBN 978-94-007-0007-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA in USD
  • ISBN 978-94-007-3443-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Probabilistic Logics and Probabilistic Networks
Authors
Series Title
Synthese Library
Series Volume
350
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0008-6
DOI
10.1007/978-94-007-0008-6
Hardcover ISBN
978-94-007-0007-9
Softcover ISBN
978-94-007-3443-2
Edition Number
1
Number of Pages
XIII, 155
Topics