Sentential probability logic: origins, development, current status, and technical applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bethlehem
Lehigh Univ. Press u.a.
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 304 S. |
| ISBN: | 0934223459 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | SENTENTIAL PROBABILITY LOGIC ORIGINS, DEVELOPMENT, CURRENT STATUS, AND
TECHNICAL APPLICATIONS THEODORE HAILPERIN LEHIGH UNIVERSITY PRESS
BETHLEHEM: LEHIGH UNIVERSITY PRESS LONDON: ASSOCIATED UNIVERSITY PRESSES
CONTENTS PREFACE 7 INTRODUCTION 11 CHAPTER 0. GROUNDWORK 22 0.1 VERITY
SENTENTIAL LOGIC 22 0.2 INDEFINITE DESCRIPTIONS 27 0.3 UNSPECIFIED TRUTH
VALUES. DON T-CARE LOGIC 32 0.4 DON T-CARE CONDITIONS IN LOGIC DESIGN 37
0.5 ELIMINATION. LINEAR PROGRAMMING 41 CHAPTER 1. EARLY HISTORY 49 1.1
LEIBNIZ S VISION 49 1.2 JAKOB BERNOULLI*PROBABILITY LOGIC VIA THE FATES
OF GAMBLERS 51 1.3 DEGREE OF CERTAINTY OF AN ARGUMENT 56 1.4 ON
COMBINING TWO OR MORE ARGUMENTS 60 1.5 J. H. LAMBERT*PROBABILISTIC
SYLLOGISMS 67 1.6 BAYES*-AND A PROBLEM ... NO LESS IMPORTANT THAN
CURIOUS 76 1.7 JOHN MICHELL ON THE DISTRIBUTION OF THE FIXED STARS 80
CHAPTER 2. THE NINETEENTH CENTURY 84 2.1 PROBABILITY IN BOLZANO S
WISSENSCHAFTSLEHRE 1837 84 2.2 DE MORGAN*TESTIMONY AND ARGUMENT 91 2.3
PROBABLE INFERENCE VIA SIX PROBLEMS 98 2.4 GEORGE BOOLE*CLAIMS FOR A
GENERAL METHOD 107 2.5 EXAMINATION OF BOOLE S GENERAL METHOD 112 2.6 ON
COMBINING EVIDENCE 121 2.7 PEIRCE AND MACCOLL*CONDITIONAL PROBABILITY
SYMBOLIZED 128 CHAPTER 3. THE TWENTIETH CENTURY 135 3.1 CONFIRMATION
FROM KEYNES TO CARNAP 135 3.2 REICHENBACH: PROBABILITY AS MULTI-VALUED
LOGIC 143 3.3 PROBABILISTIC INFERENCE REVIVED 148 3.4 BOUNDS ON
PROBABILITY*EARLY HISTORY 152 3.5 BEST POSSIBLE PROBABILITY BOUNDS 162
3.6 TRANSMISSION OF UNCERTAINTIES IN INFERENCES 168 3.7 NILSSON S
PROBABILISTIC LOGIC 175 3.8 PROBABILITY LOGIC OF SCOTT AND KRAUSS (1966)
182 CHAPTER 4. FORMAL DEVELOPMENTS 187 4.1 WHAT IS A LOGIC? 187 4.2
PROBABILITY FUNCTIONS ON SENTENTIAL LANGUAGES 188 4.3 PROBABILITY LOGIC:
THE FINITE CASE 191 4.4 PROBABILITY LOGIC: THE POTENTIAL INFINITE CASE
194 4.5 INTERVAL PROBABILITY LOGIC 199 4.6 DECISION PROCEDURE FOR
INTERVAL LOGIC 206 4.7 SET-THEORETIC VERSUS LOGIC-THEORETIC PROBABILITY
210 CHAPTER 5. CONDITIONAL PROBABILITY 213 5.1 CONJUNCTION AND THE
MULTIPLICATION OF PROBABILITIES 213 5.2 INDEPENDENCE: LOGICAL AND
STOCHASTIC 218 5.3 LOGICAL CONSEQUENCE WITH PROBABILITY CONDITIONALS 224
5.4 LOGICAL CONSEQUENCE FEATURING INTERVALS 229 5.5 BOOLE S CHALLENGE
PROBLEM 241 5.6 SUPPOSITIONAL LOGIC 246 5.7 PROBABILITY ON CONDITIONAL
EVENTS 253 5.8 OTHER WRITERS ON CONDITIONAL EVENTS 258 CHAPTER 6.
TECHNICAL APPLICATIONS 267 6.1 A THEOREM OF RENYI S AND EXTENSIONS 267
6.2 LINEAR PROGRAMMING IN PROBABILITY/STATISTICS 270 6.3 CIRCUIT FAULT
TESTING. FAULT TREES 276 6.4 NETWORK RELIABILITY 281 BIBLIOGRAPHY 288
INDEX 301 3.3 PROBABILISTIC INFERENCE REVIVED 148 3.4 BOUNDS ON
PROBABILITY*EARLY HISTORY 152 3.5 BEST POSSIBLE PROBABILITY BOUNDS 162
3.6 TRANSMISSION OF UNCERTAINTIES IN INFERENCES 168 3.7 NILSSON S
PROBABILISTIC LOGIC 175 3.8 PROBABILITY LOGIC OF SCOTT AND KRAUSS (1966)
182 CHAPTER 4. FORMAL DEVELOPMENTS 187 4.1 WHAT IS A LOGIC? 187 4.2
PROBABILITY FUNCTIONS ON SENTENTIAL LANGUAGES 188 4.3 PROBABILITY LOGIC:
THE FINITE CASE 191 4.4 PROBABILITY LOGIC: THE POTENTIAL INFINITE CASE
194 4.5 INTERVAL PROBABILITY LOGIC 199 4.6 DECISION PROCEDURE FOR
INTERVAL LOGIC 206 4.7 SET-THEORETIC VERSUS LOGIC-THEORETIC PROBABILITY
210 CHAPTER 5. CONDITIONAL PROBABILITY 213 5.1 CONJUNCTION AND THE
MULTIPLICATION OF PROBABILITIES 213 5.2 INDEPENDENCE: LOGICAL AND
STOCHASTIC 218 5.3 LOGICAL CONSEQUENCE WITH PROBABILITY CONDITIONALS 224
5.4 LOGICAL CONSEQUENCE FEATURING INTERVALS 229 5.5 BOOLE S CHALLENGE
PROBLEM 241 5.6 SUPPOSITIONAL LOGIC 246 5.7 PROBABILITY ON CONDITIONAL
EVENTS 253 5.8 OTHER WRITERS ON CONDITIONAL EVENTS 258 CHAPTER 6.
TECHNICAL APPLICATIONS 267 6.1 A THEOREM OF RENYI S AND EXTENSIONS 267
6.2 LINEAR PROGRAMMING IN PROBABILITY/STATISTICS 270 6.3 CIRCUIT FAULT
TESTING. FAULT TREES 276 6.4 NETWORK RELIABILITY 281 BIBLIOGRAPHY 288
INDEX 301
|
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| isbn | 0934223459 |
| language | English |
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| publisher | Lehigh Univ. Press u.a. |
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| spelling | Hailperin, Theodore Verfasser aut Sentential probability logic origins, development, current status, and technical applications Theodore Hailperin Bethlehem Lehigh Univ. Press u.a. 1996 304 S. txt rdacontent n rdamedia nc rdacarrier Logica matematica larpcal Algebra, Boolean Algebraic logic Probabilities Mehrwertige Logik (DE-588)4169335-8 gnd rswk-swf Näherungswert (DE-588)4200220-5 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 s Näherungswert (DE-588)4200220-5 s Mehrwertige Logik (DE-588)4169335-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007566847&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hailperin, Theodore Sentential probability logic origins, development, current status, and technical applications Logica matematica larpcal Algebra, Boolean Algebraic logic Probabilities Mehrwertige Logik (DE-588)4169335-8 gnd Näherungswert (DE-588)4200220-5 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| subject_GND | (DE-588)4169335-8 (DE-588)4200220-5 (DE-588)4146280-4 |
| title | Sentential probability logic origins, development, current status, and technical applications |
| title_auth | Sentential probability logic origins, development, current status, and technical applications |
| title_exact_search | Sentential probability logic origins, development, current status, and technical applications |
| title_full | Sentential probability logic origins, development, current status, and technical applications Theodore Hailperin |
| title_fullStr | Sentential probability logic origins, development, current status, and technical applications Theodore Hailperin |
| title_full_unstemmed | Sentential probability logic origins, development, current status, and technical applications Theodore Hailperin |
| title_short | Sentential probability logic |
| title_sort | sentential probability logic origins development current status and technical applications |
| title_sub | origins, development, current status, and technical applications |
| topic | Logica matematica larpcal Algebra, Boolean Algebraic logic Probabilities Mehrwertige Logik (DE-588)4169335-8 gnd Näherungswert (DE-588)4200220-5 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| topic_facet | Logica matematica Algebra, Boolean Algebraic logic Probabilities Mehrwertige Logik Näherungswert Boolesche Algebra |
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