Theories of probability :: an examination of logical and qualitative foundations /
"Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This book is primarily based on qualitative approaches to...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ :
World Scientific,
©2007.
|
| Schriftenreihe: | Advanced series on mathematical psychology ;
v. 2. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations." "One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an uncertain event, and another function that measures the amount of ambiguity or vagueness of the event. Another unique approach of the book is to change the event space from a boolean algebra, which is closely linked to classical propositional logic, to a different event algebra that is closely linked to a well-studied generalization of classical propositional logic known as intuitionistic logic. Together, these new qualitative theories succeed where the standard probability theory fails by accounting for a number of puzzling empirical findings in the psychology of human probability judgments and decision making."--Jacket |
| Beschreibung: | 1 online resource (ix, 219 pages) |
| Bibliographie: | Includes bibliographical references (pages 207-212) and index. |
| ISBN: | 9789812770073 9812770070 |
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| 520 | 1 | |a "Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations." "One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an uncertain event, and another function that measures the amount of ambiguity or vagueness of the event. Another unique approach of the book is to change the event space from a boolean algebra, which is closely linked to classical propositional logic, to a different event algebra that is closely linked to a well-studied generalization of classical propositional logic known as intuitionistic logic. Together, these new qualitative theories succeed where the standard probability theory fails by accounting for a number of puzzling empirical findings in the psychology of human probability judgments and decision making."--Jacket | |
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| contents | Elementary concepts -- Kolmogorov probability theory -- Infinitesimals -- Qualitative probability -- Qualitative utility -- Axioms for choice proportions -- Conditional belief -- Lattices -- Belief for scientific events and refutations -- The psychology of human probability judgments -- Metamathematical considerations. |
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| id | ZDB-4-EBA-ocn826658059 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:09Z |
| institution | BVB |
| isbn | 9789812770073 9812770070 |
| language | English |
| oclc_num | 826658059 |
| open_access_boolean | |
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| physical | 1 online resource (ix, 219 pages) |
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| publisher | World Scientific, |
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| series | Advanced series on mathematical psychology ; |
| series2 | Advanced series on mathematical psychology ; |
| spelling | Narens, Louis. Theories of probability : an examination of logical and qualitative foundations / Louis Narens. Hackensack, NJ : World Scientific, ©2007. 1 online resource (ix, 219 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Advanced series on mathematical psychology ; v. 2 Includes bibliographical references (pages 207-212) and index. Elementary concepts -- Kolmogorov probability theory -- Infinitesimals -- Qualitative probability -- Qualitative utility -- Axioms for choice proportions -- Conditional belief -- Lattices -- Belief for scientific events and refutations -- The psychology of human probability judgments -- Metamathematical considerations. "Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations." "One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an uncertain event, and another function that measures the amount of ambiguity or vagueness of the event. Another unique approach of the book is to change the event space from a boolean algebra, which is closely linked to classical propositional logic, to a different event algebra that is closely linked to a well-studied generalization of classical propositional logic known as intuitionistic logic. Together, these new qualitative theories succeed where the standard probability theory fails by accounting for a number of puzzling empirical findings in the psychology of human probability judgments and decision making."--Jacket Print version record. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Mathematische Psychologie gnd http://d-nb.info/gnd/4126558-0 Wahrscheinlichkeit gnd Probabilités. ram Print version: Narens, Louis. Theories of probability. Hackensack, NJ : World Scientific, ©2007 9789812708014 (DLC) 2007018216 (OCoLC)123955225 Advanced series on mathematical psychology ; v. 2. http://id.loc.gov/authorities/names/n2004008449 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=518633 Volltext |
| spellingShingle | Narens, Louis Theories of probability : an examination of logical and qualitative foundations / Advanced series on mathematical psychology ; Elementary concepts -- Kolmogorov probability theory -- Infinitesimals -- Qualitative probability -- Qualitative utility -- Axioms for choice proportions -- Conditional belief -- Lattices -- Belief for scientific events and refutations -- The psychology of human probability judgments -- Metamathematical considerations. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Mathematische Psychologie gnd http://d-nb.info/gnd/4126558-0 Wahrscheinlichkeit gnd Probabilités. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85107090 http://d-nb.info/gnd/4126558-0 |
| title | Theories of probability : an examination of logical and qualitative foundations / |
| title_auth | Theories of probability : an examination of logical and qualitative foundations / |
| title_exact_search | Theories of probability : an examination of logical and qualitative foundations / |
| title_full | Theories of probability : an examination of logical and qualitative foundations / Louis Narens. |
| title_fullStr | Theories of probability : an examination of logical and qualitative foundations / Louis Narens. |
| title_full_unstemmed | Theories of probability : an examination of logical and qualitative foundations / Louis Narens. |
| title_short | Theories of probability : |
| title_sort | theories of probability an examination of logical and qualitative foundations |
| title_sub | an examination of logical and qualitative foundations / |
| topic | Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Mathematische Psychologie gnd http://d-nb.info/gnd/4126558-0 Wahrscheinlichkeit gnd Probabilités. ram |
| topic_facet | Probabilities. Probabilités. probability. MATHEMATICS Probability & Statistics General. Probabilities Mathematische Psychologie Wahrscheinlichkeit |
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