Theories of probability: an examination of logical and qualitative foundations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ
World Scientific
c2007
|
| Schriftenreihe: | Advanced series on mathematical psychology
v. 2 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 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."--BOOK JACKET. |
| Beschreibung: | 1 Online-Ressource (ix, 219 p.) |
| ISBN: | 9789812708014 9789812770073 9812708014 9812770070 |
Internformat
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| 490 | 0 | |a Advanced series on mathematical psychology |v v. 2 | |
| 500 | |a Includes bibliographical references (p. 207-212) and index | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Narens, Louis |
| author_GND | (DE-588)1084236524 |
| author_facet | Narens, Louis |
| author_role | aut |
| author_sort | Narens, Louis |
| author_variant | l n ln |
| building | Verbundindex |
| bvnumber | BV043073745 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)826658059 (DE-599)BVBBV043073745 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043073745 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:37Z |
| institution | BVB |
| isbn | 9789812708014 9789812770073 9812708014 9812770070 |
| language | English |
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| physical | 1 Online-Ressource (ix, 219 p.) |
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| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | World Scientific |
| record_format | marc |
| series2 | Advanced series on mathematical psychology |
| spelling | Narens, Louis Verfasser (DE-588)1084236524 aut Theories of probability an examination of logical and qualitative foundations Louis Narens Hackensack, NJ World Scientific c2007 1 Online-Ressource (ix, 219 p.) txt rdacontent c rdamedia cr rdacarrier Advanced series on mathematical psychology v. 2 Includes bibliographical references (p. 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."--BOOK JACKET. Probabilités ram Mathematische Psychologie swd Wahrscheinlichkeit swd Probabilités Mathematische Psychologie gnd Wahrscheinlichkeit gnd MATHEMATICS / Probability & Statistics / General bisacsh Probabilities Mathematische Psychologie (DE-588)4126558-0 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Mathematische Psychologie (DE-588)4126558-0 s Wahrscheinlichkeit (DE-588)4137007-7 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=518633 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Narens, Louis Theories of probability an examination of logical and qualitative foundations Probabilités ram Mathematische Psychologie swd Wahrscheinlichkeit swd Probabilités Mathematische Psychologie gnd Wahrscheinlichkeit gnd MATHEMATICS / Probability & Statistics / General bisacsh Probabilities Mathematische Psychologie (DE-588)4126558-0 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| subject_GND | (DE-588)4126558-0 (DE-588)4137007-7 |
| 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 | Probabilités ram Mathematische Psychologie swd Wahrscheinlichkeit swd Probabilités Mathematische Psychologie gnd Wahrscheinlichkeit gnd MATHEMATICS / Probability & Statistics / General bisacsh Probabilities Mathematische Psychologie (DE-588)4126558-0 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| topic_facet | Probabilités Mathematische Psychologie Wahrscheinlichkeit MATHEMATICS / Probability & Statistics / General Probabilities |
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