A primer of probability logic:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stanford, Calif.
CSLI Publ.
1998
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| Schriftenreihe: | Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes
68 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 376 S. graph. Darst. |
| ISBN: | 157586066X 1575860678 |
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| adam_text | CSLI LECTURE NOTES NUMBER 68 A PRIMER OF PROBABILITY LOGIC ERNEST
W.ADAMS CSLI PUBLICATIONS CENTER FOR THE STUDY OF LANGUAGE AND
INFORMATION STANFORD, CALIFORNIA CONTENTS FOREWORD IX BRIAN SKYRMS
PREFACE IX DEDUCTION AND PROBABILITY: WHAT PROBABILITY LOGIC IS ABOUT 1
1.1 DEDUCTION AND CERTAINTY 1 1.2 INFERENCE AND PROBABILITY CHANGE:
NONMONOTONICITY 3 1.3 CONDITIONALS 4 1.4 DECISION AND ACTION: THE
ADVANTAGE OF BEING RIGHT 5 1.5 SUMMARY AND LIMITATIONS OF THIS WORK 7
1.6 GLOSSARY 9 PROBABILITY AND LOGIC 11 2.1 LOGICAL SYMBOLISM AND BASIC
CONCEPTS 11 2.2 FUNDAMENTAL CONNECTIONS BETWEEN LOGIC AND PROBABILITY 14
2.3 PROBABILITY FUNCTIONS AND ALGEBRA 20 2.4 DEDUCTIVE THEORY OF
PROBABILITY V 21 2.5 PROBABILISTIC INDEPENDENCE, SYMMETRY, AND
RANDOMNESS 28 2.6 UNCERTAINTY AND ITS LAWS 31 . 2.7 GLOSSARY 34
DEDUCTION AND PROBABILITY PART I: STATICS 37 3.1 INTRODUCTION 37 3.2 TWO
HAUPTSATZE OF THE THEORY OF UNCERTAINTY ACCUMULATION 38 3.3 REINFORCING
CONCLUSIONS BY INTRODUCING REDUNDANCY AMONG PREMISES: DEGREES OF
ESSENTIALNESS 41 VI / CONTENTS 3.4 REMARKS ON DEFAULTS AND OTHER
ASSUMPTIONS THAT LIMIT CONCLUSION UNCERTAINTIES 48 3.5 GLOSSARY 53 4
CONDITIONAL PROBABILITIES AND CONDITIONALIZATION 55 4.1 INTRODUCTION:
THE DEPENDENCE OF PROBABILITIES ON STATES OF KNOWLEDGE 55 4.2 THE
FORMALISM OF CONDITIONAL PROBABILITY 57 4.3 THE CHAIN RULE:
PROBABILISTIC DEPENDENCE AND INDEPENDENCE 59 4.4 ERSATZ FORMULAS AND
TRUTH VALUES 63 4.5 PROBABILITY CHANGE AND BAYES PRINCIPLE 65 4.6 ON
INDUCTION 70 4.7 INDUCTION AND SYMMETRY 76 4.8 CRITIQUE OF BAYESIAN
EPISTEMOLOGY 84 4.9 GLOSSARY 85 5 DEDUCTION AND PROBABILITY PART II:
DYNAMICS 89 5.1 INTRODUCTION 89 5.2 DEDUCTIVE DYNAMICS, GENERAL 90 5.3
NONRNONOTONICITY AND SCOPE: THE TWO-PREMISE CASE 92 5.4 WHAT FOLLOWS
FROM A CONTRADICTION 96 5.5 MORE GENERAL INFERENCES 97 5.6 DEFAULTS: THE
LOGIC OF CONVERSATION AGAIN 101 5.7 POSTERIOR PREMISE UNCERTAINTY 107
5.8 GLOSSARY 110 6 PROBABILITY CONDITIONALS: BASICS 113 6.1 INTRODUCTION
113 6.2 THE PARADOXES OF MATERIAL IMPLICATION 115 6.3 INTUITIVE ANALYSIS
OF OTHER INFERENCE PATTERNS 117 6.4 PROBABILISTIC VALIDITY 131 6.5
ORDER-OF-MAGNITUDE ORDERINGS AND DISTRIBUTIONS 133 6.6 ENTHYMEMES AND
OTHER DEFAULTS 141 6.7 PROBLEMS OF INFERENTIAL DYNAMICS 145 6.8 GLOSSARY
148 7* FORMAL THEORY OF PROBABILITY CONDITIONALS: DERIVATIONS AND
RELATED MATTERS 149 7.1 ASPECTS OF DERIVATION: BASIC DEFINITIONS AND
EQUIVALENCES 149 7.2 RULES OF CONDITIONAL INFERENCE 153 7.3 DERIVED
RULES OF INFERENCE: SHORTCUT DERIVATIONS 159 7.4 QUASI-CONJUNCTION 164
CONTENTS / VII 7.5 AN ERSATZ TRUTH-TABLE TEST FOR PROBABILISTIC VALIDITY
166 7.6 VALIDITY AND COMPLETENESS, WITH SKETCHES OF THEIR PROOFS 171 7.7
OTHER ASPECTS OF METATHEORY 175 7.8 P-TAUTOLOGY, EQUIVALENCE, AND
CONSISTENCY 179 7.9 ON PROBABILISTIC CERTAINTY FORMULAS 184 7.10
GLOSSARY 186 8* TRUTH, TRIVIALITY, AND CONTROVERSY 189 8.1 PROBLEMS, AND
SOME HISTORY 189 8.2 TRUTH-FUNCTIONALITY 190 8.3 TRUTH-CONDITIONALITY:
STALNAKER S THEORY 192 8.4 THE PROBLEM OF PROBABILITY 196 8.5 TRIVIALITY
RESULTS 197 8.6 THE CONTROVERSY ABOUT TRUTH: THEORIES OF TRUTH 200 8.7
GLOSSARY 203 9 PRACTICAL REASON 205 9.1 INTRODUCTION 205 9.2 PRACTICAL
INFERENCE: A QUALITATIVE REPRESENTATION 207 9.3 A PRAGMATIC PRINCIPLE
208 9.4 DECISION MATRICES 210 9.5 FIRST GENERALIZATION: DEGREES OF
CONFIDENCE AND UTILITY 212 9.6 CRITICAL DEGREES OF CONFIDENCE 216 9.7
MEASURING CONFIDENCE AND UTILITY 220 9.8 DECISION MAKING IN THE
NONINDEPENDENCE CASE 223 9.9 UNORTHODOX REFLECTIONS ON PRACTICAL
PROBABILITIES 227 9.10 GLOSSARY 236 AL COHERENT DEGREES OF CONFIDENCE:
AXIOMATICS AND RATIONAL BETTING ODDS 239 1.1 INTRODUCTION 239 1.2 THE
AXIOMATIC APPROACH 240 1.3 RATIONAL BETTING ODDS AND DUTCH BOOKS 242 1.4
DYNAMICAL DUTCH BOOKS 247 1.5 CRITIQUE 248 A2 INFINITESIMAL
PROBABILITIES AND POPPER FUNCTIONS 251 2.1 INTRODUCTION 251 2.2 TWO
OBJECTIONS TO THE STIPULATION 251 2.3 INTUITIVE INFINITESIMALS AND
NON-STANDARD PROBABILITIES 253 2.4 POPPER FUNCTIONS 256 VIII / CONTENTS
A3 DAVID LEWIS S TRIVIALITY RESULTS 260 3.1 INTRODUCTION 260 3.2 THE
RESULTS 260 3.3 A WAY OUT 262 3.4 DISCUSSION 265 A4 THE PROBLEM OF
EMBEDDED CONDITIONALS 268 4.1 INTRODUCTION 268 4.2 SOME PARTIAL THEORIES
269 A5 A GEOMETRICAL ARGUMENT FOR THE STATISTICAL REASONABLENESS OF
CONTRAPOSITION 276 A6 COUNTERFACTUAL CONDITIONALS 281 A7 PROBABILISTIC
PREDICATE LOGIC 285 7.1 INTRODUCTION 285 7.2 LANGUAGE, WORLDS, AND
PROBABILITIES 285 7.3 PROBABILISTIC VALIDITY 287 7.4 DYNAMICS AND SCOPE
OF UNIVERSAL STATEMENTS: CONFIRMATION 289 A8 PROBABILISTIC IDENTITY
LOGIC 294 8.1 GENERALITIES 294 8.2 COMPLICATIONS: CONNECTIONS WITH
FREGE S PUZZLE 296 A9 APPROXIMATE GENERALIZATIONS 300 9.1 INTRODUCTION
300 9.2 APPROXIMATE MONADIC GENERALIZATIONS 301 9.3 MULTI-VARIATE
APPROXIMATE GENERALIZATIONS 304 9.4 GENERALIZATIONS AND CONDITIONALS:
DEGREES OF TRUTH AND PROBABILITY 305 ANSWERS TO SELECTED EXERCISES 311
REFERENCES 361 NAME INDEX 371 SUBJECT INDEX 373
|
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| language | English |
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| publishDate | 1998 |
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| series | Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes |
| series2 | Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes |
| spelling | Adams, Ernest W. 1926-2009 Verfasser (DE-588)119249987 aut A primer of probability logic Ernest W. Adams Stanford, Calif. CSLI Publ. 1998 XIV, 376 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes 68 Logik (DE-588)4036202-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitslogik (DE-588)4464431-0 gnd rswk-swf Wahrscheinlichkeitslogik (DE-588)4464431-0 s DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Logik (DE-588)4036202-4 s Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes 68 (DE-604)BV001900711 68 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007966126&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adams, Ernest W. 1926-2009 A primer of probability logic Center for the Study of Language and Information <Stanford, Calif.>: CSLI lecture notes Logik (DE-588)4036202-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitslogik (DE-588)4464431-0 gnd |
| subject_GND | (DE-588)4036202-4 (DE-588)4079013-7 (DE-588)4464431-0 |
| title | A primer of probability logic |
| title_auth | A primer of probability logic |
| title_exact_search | A primer of probability logic |
| title_full | A primer of probability logic Ernest W. Adams |
| title_fullStr | A primer of probability logic Ernest W. Adams |
| title_full_unstemmed | A primer of probability logic Ernest W. Adams |
| title_short | A primer of probability logic |
| title_sort | a primer of probability logic |
| topic | Logik (DE-588)4036202-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitslogik (DE-588)4464431-0 gnd |
| topic_facet | Logik Wahrscheinlichkeitstheorie Wahrscheinlichkeitslogik |
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