Changes of mind: an essay on rational belief revision
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Univ. Press
2012
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 345 S. graph. Darst. 24 cm |
| ISBN: | 9780199655755 0199655758 |
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MARC
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 LOGICAL STATICS V. LOGICAL DYNAMICS 2
1.1.1 THEFICTION OF THE LOGICALSAINT 2
1.1.2 EPISTEMICNORMS AND THEPARAGON 3
1.1.3 CLASSIFYINGCHANGESOF MIND 3
1.2 REVOLUTIONARY CHANGE V. NORMAL, INCREMENTAL CHANGE 4
1.3 MORE ON PARAGONS AND SAINTS 6
1.4 CHANGES IN THE DOXASTIC STATUS OF A PROPOSITION 10
1.5 WHAT A THEORY NEEDS TO EXPLAIN 11
1.6 COMPUTATIONAL CONSIDERATIONS 13
1.7 PHILOSOPHICAL CONSIDERATIONS 16
1.8 METHODS 18
1.9 METHODOLOGICAL CONSIDERATIONS 19
191 SIMPLICITYV. COMPREHENSIVENESS: A CASESTUDYFROM DEDUCTIVE LOGIC 19
192 APPLYING THE LESSONSLEARNED IN THE CASESTUDYFROM DEDUCTIVE LOGIC
TO THEPROBLEM OF BELIEFREVISION 26
1.10 RELATION TO PRESENT STATE OF THE FIELD 28
1.11 CHAPTER-BY-CHAPTER FORESHADOWING SUMMARY 29
I COMPUTATIONAL CONSIDERATIONS
2 COMPUTING CHANGES IN BELIEF
2.1 NODES AND STEPS
2.1.1 NODES
2.1.2 INITIAL STEPS
2.1.3 TRANSITIONALSTEPS
37 38
38
39
40
CONTENTS I XIII
IMAGE 2
2.2 AXIOMS FOR A BELIEF NETWORK 46
2.2.1 AXIOMS OFCONFIGURATION 46
2.2.2 AXIOMS OFCOLORATION 49
2.23 COMMENTS ON OUR COLORING CONVENTION 51
2.24 EXAMPLES OF VIOLATIONS OF THE FOUR MAIN AXIOMS OF COLORATION 52
23 SPREADING WHITE V. SPREADING BLACK 56
2.3.1 SPREADING WHITE: THE WHITE LOCK CONSTRAINT 57
232 SPREADING BLACK DOWNWARDS: THE BLACK LOCK CONSTRAINT 65
2.4 THE ROLES OF THE WHITE AND BLACK PARTS OF A BELIEF SCHEME 67
2.4.1 PRIMITIVE LOCAL TRANSITIONS IN COLORATION 68
242 EXAMPLE 1 70
243 EXAMPLE 2 71
244 EXAMPLE 3 72
245 EXAMPLE 4 73
246 EXAMPLE 5 76
247 EXAMPLE 6 77
2.5 SUMMARY AND CONCLUSION 80
2.6 A LOOK AHEAD 82
3 GLOBAL CONDITIONS ON CONTRACTION 83
31 KNOWLEDGE SETS AND BELIEF SETS VERSUS THEORIES 83
32 BASES, DEVELOPMENTS AND THEORIES 85
33 CONTRACTIONS 87
3.4 WHAT DO WE REQUIRE OF A CONTRACTION? 91
341 TAKING THE INTUITIONISTIC CASE SERIOUSLY: THE CONDITION FOR
SUCCESSFUL
CONTRACTION 91
342 MINIMAL MUTILATION 92
4 A FORMAL THEORY OF CONTRACTION 95
4. 1 INTRODUCTION 95
42 THE COMPUTATIONAL COMPLEXITY OF VARIOUS DECISION PROBLEMS IN
LOGIC 98
4.3 RELATIVE ENTRENCHMENT OFBELIEFS 101
44 SOME INTUITIONS 103
4 5 THE FINITARY PREDICAMENT AND THE QUESTION OF WELL- FOUNDEDNESS 104
4.6 THE LOGICAL MACRO-IEVEL V. MICRO-IEVEL 10 5
XIV I CONTENTS
IMAGE 3
47
NEW NOTIONS NEEDED FOR THE MODELING OFBELIEF SCHEMES 108
471 NODES 108
47.2 STEPSFORMAL/Y DEFINED 108
473 STEPSINFORMAL/YEXPLAINED 110
4.7.4 1HE AGENTS TRANSITIONALCOMMITMENTS, AND WHAT SHE BELIEVES 115
4.J.5 DEPENDENCYNETWORKSFORMAL/Y DEFINED 117
4.7.6 EXAMPLESOF DEPENDENCYNETWORKS 119
4-7.7 MORE NETWORK NOTIONSFORMAL/Y DEFINED 122
4.8 CLOSURE 124
4.8.1 UNIVERSALCLOSUREOF BELIEFSCHEMES 129
49 CONTRACTION FORMALLY DEFINED 130
4.9.1 CONTRACTIONINVOLVESONLY STEPS IN THE AGENTS BELIEFSCHEME 131 4.9.2
REVISIONAND EXPANSION CAN INVOLVERECOURSETO STEPSKNOWN
TO THE AGENT, BUT NOT IN THE BELIEFSCHEME 132
410 CONSIDERATIONS OF COMPLEXITY 133
4.11 CONCLUSION 138
5 SPECIFICATION OF A CONTRACTION ALGORITHM 140
5.1 GREEDY ALGORITHMS 140
5.2 A BRUTE-FORCE, UNDISCERNING ALGORITHM 143
53 PRELIMINARIES 144
54 CONTRACTION ALGORITHM: FIRST VERSION 155
5.4.1 EXAMPLE OFVERSION 1 AT WORK 157
5.4.2 AN OBSERVATIONABOUT THE ORDEROF WHITENING 159
5.4.3 DISCUSSIONOFVERSION 1 160
55 CONTRACTION ALGORITHM: SECOND VERSION 166
5.5.1 EXAMPLE OFVERSION 2 AT WORK 167
5.5.2 DISCUSSIONOFVERSION 2 169
56 CONTRACTION ALGORITHM: THIRD VERSION 172
5.6.1 EXAMPLE OFVERSION 3 AT WORK 174
5.6.2 ANOTHER EXAMPLE OFVERSION 3 AT WORK 176
57 MAKING USE OF ENTRENCHMENT INFORMATION 182
58 CONTRACTION ALGORITHM: FOURTH VERSION 184
59 FUTUREWORK 184
591 FURTHERSTUDY OF THE EFFICIENCYOF CONTRACTIONALGORITHMS 184
592 SURRENDERINGSTEPSAS WEILAS NODES 185
CONTENTS I XV
IMAGE 4
5.9.] THE QUESTION OJNEUROPSYCHOLOGICAL REALITY
5.9.4 WEAKENINGTHE SUPPORT OFFEREDBY STEPS 5.10 CONC1USION
6 A PROLOG PROGRAM FOR CONTRACTION
6.1 MANAGEMENT OF INPUT FILES OF PROBLEMS
6.2 THE TOP-LEVEL PART OFTHE PROGRAM
6.2.1 FORSEARCH WITHOUT CHECKSJOR MINIMAL MUTILATION
6.2.2 FORSEARCH WITH CHECKSJOR MINIMAL MUTILATION
6.2.] THE LOWER-LEVELPART OJTHEPROGRAM
6.3 PRE-PROCESSING
6-4 CLAUSES FOR THE VARIOUS PRINT COMMANDS
7 RESULTS OF RUNNING OUR PRO GRAM
FOR CONTRACTION
7.1 SOME SIMPLE CONTRACTION PROBLEMS
7.2 OUTPUTS OF OUR PROGRAM ON THE FOREGOING PROBLEMS
11 LOGICAL AND PHILOSOPHICAL CONSIDERATIONS
189 189
191
191
193
197
203
206
208
208
218
8 CORE LOGIC IS THE INVIOLABLE CORE OF LOGIC 253
8.1 THE DEBATE OVER LOGICAL REFORM
8.2 CORE LOGIC
8.2.1 GRAPHIERULES OJNATURAL DEDUCTIONJOR CORELOGIC
8.2.2 SEQUENT RULESJOR CORELOGIC
8.3 TRANSITIVITY OF PROOF IN CORE LOGIC
8.4 CONSIDERATIONS IN FAVOR OF CORE LOGIC
8.5 REFLEXIVE STABILITY
8.5.1 DETECTINGVIOLATIONSOJAXIOM (1)
8.5.2 DETECTINGVIOLATIONSOJAXIOM (2)
8.5.] DETECTINGVIOLATIONSOJAXIOM (J)
8.5.4 DETECTINGVIOLATIONSOJAXIOM (4)
8.5.5 RESOLVINGVIOLATIONSOJAXIOM (1)
8.5.6 RESOLVINGVIOLATIONSOJAXIOM (2)
8.5.7 REFLECTINGON OUR REASONINGTOWARDSRESOLUTIONS
858 RESOLVINGVIOLATIONSOJAXIOM (])
85.9 RESOLVINGVIOLATIONSOJAXIOM (4)
8.6 THE UPSHOT
XVI I CONTENTS
IMAGE 5
9
THE FINITARY PREDICAMENT 274
91 FINITUDE OF THE SET OF KNOWN THEOREMS 275
92 FINITUDE OF THE SET OF KNOWN PROOFS 276
93 THOROUGHGOING THEORETICAL FINITUDE 276
10 MATHEMATICAL JUSTIFICATIONS ARE NOT
INFINITELY VARIOUS 280
10.1 DEFINITIONS OF TERMINOLOGY 281
10.2 RESULTS 283
III COMPARISONS
11 DIFFERENCES FROM OTHER FORMAL THEORIES 289
11.1 TRUTH-MAINTENANCE SYSTEMS 290
11.2 AGM-THEORY 291
11.2.1 SOME BACKGROUND 292
11.2.2 ABRIEF SUMMARY OFTHE AGM-THEORY OF CONTRACTION 292
11.2.3 IMPLEMENTABILITY 295
11.2.4 1HE POSTULATEOFRECOVERY 296
11.2.5 MINIMAL MUTILATION 297
11.2.6 1HE DEGENERACYOF AGM-THEORY 298
11.2.7 A CONDENSEDACCOUNT OFTHE DEGENERACYRESULTS 299
11.3 BAYESIAN NETWORKS 303
12 CONNECTIONS WITH VARIOUS EPISTEMOLOGICAL
ACCOUNTS 309
12.1 STAGE SETTING 309
12.2 PERENNIAL TOPICS OF MAINSTREAM EPISTEMOLOGY 310
12.2.1 SKEPTICISM 310
12.2.2 BASICBELIEFS 311
12.2.3 FOUNDATIONALISM,COHERENTISMANDFOUNDHERENTISM 312
12.3 WORKS THAT ADDRESS THE PROBLEM OF BELIEF REVISION, AND OFFER
SOME FORMAL MODELING 319
12.3.1 ISAACLEVI SCONTRACTIONS 319
12.4 WORKS THAT ADDRESS THE PROBLEM OF BELIEF REVISION, BUT DO NOT
OFFER ANY FORMAL MODELING 322
12.4.1 QUINE AND ULLIAN S WEB OF BELIEF 322
12.4.2 GILBERTHARMAN S CHANGE IN VIEW 323
CONTENTS I XVII
IMAGE 6
12.5 WORKS THAT DO NOT EXPLICITLY ADDRESS THE PROBLEM OF BELIEF
REVISION, EXCEPT PERHAPS IN PASSING 329
12.5.1 PETER KLEIN ON INFINITE REGRESS 329
12.5.2 ANIL GUPTAS EMPIRICISM AND EXPERIENCE 331
REFERENCES
INDEX
XVIII I CONTENTS
335
34 1
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| indexdate | 2024-07-10T00:14:16Z |
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| isbn | 9780199655755 0199655758 |
| language | English |
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| spelling | Tennant, Neil 1950- Verfasser (DE-588)138937672 aut Changes of mind an essay on rational belief revision Neil Tennant 1. ed. Oxford Univ. Press 2012 XVIII, 345 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Belief and doubt Rationalism Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Ungewissheit (DE-588)4137198-7 gnd rswk-swf Kriterium (DE-588)4245403-7 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Gewissheit (DE-588)4129355-1 gnd rswk-swf Ungewissheit (DE-588)4137198-7 s Gewissheit (DE-588)4129355-1 s Kriterium (DE-588)4245403-7 s Erkenntnistheorie (DE-588)4070914-0 s DE-604 Mathematische Logik (DE-588)4037951-6 s V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024783821&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tennant, Neil 1950- Changes of mind an essay on rational belief revision Belief and doubt Rationalism Erkenntnistheorie (DE-588)4070914-0 gnd Ungewissheit (DE-588)4137198-7 gnd Kriterium (DE-588)4245403-7 gnd Mathematische Logik (DE-588)4037951-6 gnd Gewissheit (DE-588)4129355-1 gnd |
| subject_GND | (DE-588)4070914-0 (DE-588)4137198-7 (DE-588)4245403-7 (DE-588)4037951-6 (DE-588)4129355-1 |
| title | Changes of mind an essay on rational belief revision |
| title_auth | Changes of mind an essay on rational belief revision |
| title_exact_search | Changes of mind an essay on rational belief revision |
| title_full | Changes of mind an essay on rational belief revision Neil Tennant |
| title_fullStr | Changes of mind an essay on rational belief revision Neil Tennant |
| title_full_unstemmed | Changes of mind an essay on rational belief revision Neil Tennant |
| title_short | Changes of mind |
| title_sort | changes of mind an essay on rational belief revision |
| title_sub | an essay on rational belief revision |
| topic | Belief and doubt Rationalism Erkenntnistheorie (DE-588)4070914-0 gnd Ungewissheit (DE-588)4137198-7 gnd Kriterium (DE-588)4245403-7 gnd Mathematische Logik (DE-588)4037951-6 gnd Gewissheit (DE-588)4129355-1 gnd |
| topic_facet | Belief and doubt Rationalism Erkenntnistheorie Ungewissheit Kriterium Mathematische Logik Gewissheit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024783821&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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