Probabilistic Logic in a Coherent Setting:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Schriftenreihe: | Trends in Logic
15 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (IV, 291 p) |
| ISBN: | 9789401004749 9781402009709 |
| ISSN: | 1572-6126 |
| DOI: | 10.1007/978-94-010-0474-9 |
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| 500 | |a 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 | ||
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| discipline | Mathematik Philosophie |
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| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401004749 9781402009709 |
| issn | 1572-6126 |
| language | English |
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| spelling | Coletii, Giulianella Verfasser aut Probabilistic Logic in a Coherent Setting by Giulianella Coletii, Romano Scozzafava Dordrecht Springer Netherlands 2002 1 Online-Ressource (IV, 291 p) txt rdacontent c rdamedia cr rdacarrier Trends in Logic 15 1572-6126 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 Philosophy (General) Logic Artificial intelligence Logic, Symbolic and mathematical Distribution (Probability theory) Philosophy Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Probability Theory and Stochastic Processes Künstliche Intelligenz Philosophie Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 1\p DE-604 Scozzafava, Romano Sonstige oth https://doi.org/10.1007/978-94-010-0474-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Coletii, Giulianella Probabilistic Logic in a Coherent Setting Philosophy (General) Logic Artificial intelligence Logic, Symbolic and mathematical Distribution (Probability theory) Philosophy Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Probability Theory and Stochastic Processes Künstliche Intelligenz Philosophie Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4037951-6 |
| title | Probabilistic Logic in a Coherent Setting |
| title_auth | Probabilistic Logic in a Coherent Setting |
| title_exact_search | Probabilistic Logic in a Coherent Setting |
| title_full | Probabilistic Logic in a Coherent Setting by Giulianella Coletii, Romano Scozzafava |
| title_fullStr | Probabilistic Logic in a Coherent Setting by Giulianella Coletii, Romano Scozzafava |
| title_full_unstemmed | Probabilistic Logic in a Coherent Setting by Giulianella Coletii, Romano Scozzafava |
| title_short | Probabilistic Logic in a Coherent Setting |
| title_sort | probabilistic logic in a coherent setting |
| topic | Philosophy (General) Logic Artificial intelligence Logic, Symbolic and mathematical Distribution (Probability theory) Philosophy Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Probability Theory and Stochastic Processes Künstliche Intelligenz Philosophie Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Philosophy (General) Logic Artificial intelligence Logic, Symbolic and mathematical Distribution (Probability theory) Philosophy Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Probability Theory and Stochastic Processes Künstliche Intelligenz Philosophie Wahrscheinlichkeitstheorie Mathematische Logik |
| url | https://doi.org/10.1007/978-94-010-0474-9 |
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