Probabilistic Logic in a Coherent Setting
Authors: Coletti, Giulianella, Scozzafava, R.
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- About this book
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The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is a `flexible' and unifying tool suited for handling, e.g., partial probability assessments (not requiring that the set of all possible `outcomes' be endowed with a previously given algebraic structure, such as a Boolean algebra), and conditional independence, in a way that avoids all the inconsistencies related to logical dependence (so that a theory referring to graphical models more general than those usually considered in bayesian networks can be derived). Moreover, it is possible to encompass other approaches to uncertain reasoning, such as fuzziness, possibility functions, and default reasoning.
The book is kept self-contained, provided the reader is familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.
- Table of contents (21 chapters)
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Introduction
Pages 7-15
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Events as Propositions
Pages 17-24
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Finitely Additive Probability
Pages 25-29
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Coherent probability
Pages 31-35
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Betting Interpretation of Coherence
Pages 37-42
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Table of contents (21 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Probabilistic Logic in a Coherent Setting
- Authors
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- Giulianella Coletti
- R. Scozzafava
- Series Title
- Trends in Logic
- Series Volume
- 15
- Copyright
- 2002
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-94-010-0474-9
- DOI
- 10.1007/978-94-010-0474-9
- Hardcover ISBN
- 978-1-4020-0917-4
- Softcover ISBN
- 978-1-4020-0970-9
- Series ISSN
- 1572-6126
- Edition Number
- 1
- Number of Pages
- IV, 291
- Topics
