A Practical Logic of Cognitive Systems - The Reach of Abduction: Insight and Trial

A Practical Logic of Cognitive Systems - The Reach of Abduction: Insight and Trial

von: Dov M. Gabbay, John Woods

Elsevier Trade Monographs, 2005

ISBN: 9780080460925 , 496 Seiten

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A Practical Logic of Cognitive Systems - The Reach of Abduction: Insight and Trial


 

front cover

1

copyright

5

table of contents

8

front matter

14

body

20

Cover

2

Contents

8

Acknowledgements

14

Preface

18

A Practical Logic of Cognitive Systems

20

Introduction

22

Practical Logic

30

First Thoughts on a Practical Logic

30

A Hierarchy of Agency Types

31

Peculiarities of Institutional Agents

36

Normativity

39

Mathematical Models

43

Slight-resource Adjustment Strategies

45

Hasty Generalization

45

Generic Inference

45

Natural Kinds

46

Defaults

47

Discourse Economies

47

Consciousness

48

Practical Logic

51

Connectionist Logic

53

Fallacies

54

Conceptual Models of Abduction

58

The Structure of Abduction

60

Introductory Remark on Abduction

60

The Elementary Structure of Abductive Logic

61

Expanding the Schema

63

Frames

65

Generalizing I P s

66

Avoiding a Confusion

66

Locating Abduction on the Logical Map

67

Abductive Schematics

68

Consequentialist Abduction

68

The Good that AKM Does

74

The Reach of Abduction

75

Simplicity

77

The Cut Down Problem

77

Abduction as Practical

79

Proof-theoretic Abduction

79

The Adaptive and the Epistemically Subpar

83

Knowledge-Sets

84

Filtration Structures

87

Hypothesis-Engagement

90

Grounds of Action

91

Tasks for an Abductive Logic

92

Explanationist Abduction

96

Peirce

96

Surprise

102

Testability and Economics

103

Insight and Trial

106

Rationality and Diminished Epistemic Virtue

107

Explanation ism

108

The Covering Law Model

111

The Rational Model

114

Teleological Explanation

117

The Pluralism of Explanation

120

Assessing IBE

121

Characteristicness

123

Hanson

125

Darden

130

Fodor

130

Adaptive Explanationism

131

Non-abductive Conjecture

134

Non-Plausibilistic Abduction

136

Introductory remark

136

Newton

137

Planck

142

Physical Dependencies

143

The Superstring Controversy

144

Russell and Godel

146

The Consequence Relation

150

Lakatos

155

Hintikka

159

Empirical Progress

162

Semantic Tableaux

163

Assessing Semantic Tableau Abduction

167

Is It Abduction?

168

Inconsistency Again

169

Bayesian Inference

171

Diagnostic Abduction in AI

176

Explanationist Diagnostics

176

Difficulties with AP

182

Another Example

184

Remarks

190

Coherentism and Probabilism

191

The Rivalry of Explanationism and Probabilism

191

Explanatory Coherence

192

Probabilistic Networks

195

Pearl Networks for ECHO

197

Neuropharmacological Intervention

201

Mechanizing Abduction

205

Abduction in Neural-Symbolic Networks

210

The Characteristic and the Plausible

216

The Open Door

216

The Element of Surprise

217

Plausibility

221

A Resolution Point

222

How to Get Determinacy Out of Indeterminacy

223

Alternatives

225

The Piccadilly Line

227

Plausibility Again

230

Historical Note on Plausibility

231

Cut-to-the Chase Abduction

233

Characteristicness

234

Common Knowledge

240

Rescher's Plausibility Logic

243

Reliability

248

Axioms for Plausibility

249

Plausibility and Presumption

253

Brief Concluding Remarks

258

Relevance and Analogy

260

Relevance

260

Relevance as Cognitive

261

Topical Relevance

264

Contextual Effects

268

Irredundancy Relevance

269

Relevance and Cutting to the Chase

271

Legal Relevance

275

Ideology

277

Legal Presumption

279

Types of Presumption

281

The Reasonable Person

285

Reasonable Doubt

286

Hypothesis-Discharge

289

The Probativity Question

290

Revision Structures

291

Proof Standards

293

Analogy

295

The Meta Approach

297

Similarity

302

Analogy in Law

303

Precedent

305

Analogue Modelling

307

Interpretation Abduction

310

Hermeneutics

310

Enthymemes

312

Fermat's Last Theorem

315

Enthymeme Resolution as Abductive

317

The Attack on Analyticity

319

Inarticulacy as Economics

321

Some Virtual Guidelines

323

Background Knowledge

324

Charity

326

Indeterminacy of Translation

328

Is it Abduction (Again)?

333

Constitutional Inarticulacies

334

Inarticulate Understanding

334

Visual Abduction

338

Empathy

340

Discourse Empathies

342

Semantic Space Interpretation of Texts

344

The Raynaud-Fish Oil Abduction

349

Formal Models of Abduction

354

Glimpse of Formality

356

Introduction

356

The AKM model

357

The GW Model

363

Some Schematic Remarks

365

Case Study: Defeasible Logic

372

A General Theory of Logical Systems

378

Introduction

378

Logical Systems

381

Refining the Notion of a Logical System

393

Structured consequence

393

Algorithmic structured consequence relation

394

Mechanisms

397

Modes of Evaluation

399

TAR-Logics

401

Relevance

403

Discussion and Further Reading

403

A Base Logic

404

Formal Abduction: An Overview

404

Introducing LDS

409

LDS for =>

409

Examples of Resource LDS

412

Goal Directed Algorithm for =>

418

The Algorithm

419

Examples

421

Intuitive Theory of Labelled Abduction

423

Abduction in Knowledge Bases

424

Abduction in Planning and Natural Language

430

Abduction in Logic Programming

432

A Conversation Between Two Intelligent Databases

439

An Abductive Mechanism for the Base Logic

444

Introduction

444

Abduction Algorithm for =>

451

Case Study: Abduction for Intuitionistic Implications

453

Case Study: Abduction for Relevance Logic

458

Conclusion

462

Bibliography

464

Index

494

Part I A Practical Logic of Cognitive Systems

20

1 Introduction

22

2 Practical Logic

30

2.1 First Thoughts on a Practical Logic

30

2.1.1 A Hierarchy of Agency Types

31

2.1.2 Peculiarities of Institutional Agents

36

2.1.3 Normativity

39

2.1.4 Mathematical Models

43

2.1.5 Slight-resource Adjustment Strategies

45

2.1.6 Hasty Generalization

45

2.1.7 Generic Inference

45

2.1.8 Natural Kinds

46

2.1.9 Defaults

47

2.1.10 Discourse Economies

47

2.1.11 Consciousness

48

2.2 Practical Logic

51

2.3 Connectionist Logic

53

2.3.1 Fallacies

54

Part II Conceptual Models of Abduction

58

3 The Structure of Abduction

60

3.1 Introductory Remark on Abduction

60

3.2 The Elementary Structure of Abductive Logic

61

3.3 Expanding the Schema

63

3.4 Frames

65

3.5 Generalizing

66

3.6 Avoiding a Confusion

66

3.7 Locating Abduction on the Logical Map

67

3.8 Abductive Schematics

68

3.8.1 Consequentialist Abduction

68

3.8.2 The Good that A K M Does

74

3.8.3 The Reach of Abduction

75

3.8.4 Simplicity

77

3.9 The Cut Down Problem

77

3.9.1 Abduction as Practical

79

3.9.2 Proof-theoretic Abduction

79

3.10 The Adaptive and the Epistemically Subpar

83

3.11 Knowledge-Sets

84

3.12 Filtration Structures

87

3.13 Hypothesis-Engagement

90

3.14 Grounds of Action

91

3.15 Tasks for an Abductive Logic

92

4 Explanationist Abduction

96

4.1 Peirce

96

4.1.1 Surprise

102

4.1.2 Testability and Economics

103

4.1.3 Insight and Trial

106

4.2 Rationality and Diminished Epistemic Virtue

107

4.3 Explanationism

108

4.3.1 The Covering Law Model

111

4.3.2 The Rational Model

114

4.3.3 Teleological Explanation

117

4.3.4 The Pluralism of Explanation

120

4.4 Assessing

121

4.5 Characteristicness

123

4.6 Hanson

125

4.7 Darden

130

4.8 Fodor

130

4.9 Adaptive Explanationism

131

4.10 Non-abductive Conjecture

134

5 Non-Plausibilistic Abduction

136

5.1 Introductory remark

136

5.2 Newton

137

5.3 Planck

142

5.4 Physical Dependencies

143

5.5 The Superstring Controversy

144

5.6 Russell and Godel

146

5.7 The Consequence Relation

150

5.8 Lakatos

155

5.9 Hintikka

159

5.10 Empirical Progress

162

5.11 Semantic Tableaux

163

5.11.1 Assessing Semantic Tableau Abduction

167

5.11.2 Is It Abduction?

168

5.12 Inconsistency Again

169

5.12.1 Bayesian Inference

171

6 Diagnostic Abduction in AI

176

6.1 Explanationist Diagnostics

176

6.1.1 Difficulties with AP

182

6.2 Another Example

184

6.2.1 Remarks

190

6.3 Coherentism and Probabilism

191

6.3.1 The Rivalry of Explanationism and Probabilism

191

6.4 Explanatory Coherence

192

6.4.1 Probabilistic Networks

195

6.5 Pearl Networks for ECHO

197

6.6 Neuropharmacological Intervention

201

6.7 Mechanizing Abduction

205

6.8 Abduction in Neural-Symbolic Networks

210

7 The Characteristic and the Plausible

216

7.1 The Open Door

216

7.1.1 The Element of Surprise

217

7.1.2 Plausibility

221

7.1.3 A Resolution Point

222

7.1.4 How to Get Determinacy Out of Indeterminacy

223

7.1.5 Alternatives

225

7.2 The Piccadilly Line

227

7.3 Plausibility Again

230

7.3.1 Historical Note on Plausibility

231

7.3.2 Cut-to-the Chase Abduction

233

7.4 Characteristicness

234

7.5 Common Knowledge

240

7.6 Rescher's Plausibility Logic

243

7.6.1 Reliability

248

7.6.2 Axioms for Plausibility

249

7.7 Plausibility and Presumption

253

7.8 Brief Concluding Remarks

258

8 Relevance and Analogy

260

8.1 Relevance

260

8.1.1 Relevance as Cognitive

261

8.1.2 Topical Relevance

264

8.1.3 Contextual Effects

268

8.2 Irredundancy Relevance

269

8.3 Relevance and Cutting to the Chase

271

8.4 Legal Relevance

275

8.4.1 Ideology

277

8.5 Legal Presumption

279

8.5.1 Types of Presumption

281

8.5.2 The Reasonable Person

285

8.5.3 Reasonable Doubt

286

8.6 Hypothesis-Discharge

289

8.7 The Probativity Question

290

8.8 Revision Structures

291

8.8.1 Proof Standards

293

8.8.2 Analogy

295

8.8.3 The Meta Approach

297

8.8.4 Similarity

302

8.9 Analogy in Law

303

8.9.1 Precedent

305

8.10 Analogue Modelling

307

9 Interpretation Abduction

310

9.1 Hermeneutics

310

9.1.1 Enthymemes

312

9.1.2 Fermat's Last Theorem

315

9.2 Enthymeme Resolution as Abductive

317

9.2.1 The Attack on Analyticity

319

9.2.2 Inarticulacy as Economics

321

9.2.3 Some Virtual Guidelines

323

9.2.4 Background Knowledge

324

9.3 Charity

326

9.3.1 Indeterminacy of Translation

328

9.4 Is it Abduction (Again)?

333

9.5 Constitutional Inarticulacies

334

9.5.1 Inarticulate Understanding

334

9.6 Visual Abduction

338

9.7 Empathy

340

9.7.1 Discourse Empathies

342

9.8 Semantic Space Interpretation of Texts

344

9.8.1 The Raynaud-Fish Oil Abduction

349

Part III Formal Models of Abduction

354

10 A Glimpse of Formality

356

10.1 Introduction

356

10.1.1 The AKM model

357

10.1.2 The GW Model

363

10.2 Some Schematic Remarks

365

10.3 Case Study: Defeasible Logic

372

11 A General Theory of Logical Systems

378

11.1 Introduction

378

11.2 Logical Systems

381

11.3 Refining the Notion of a Logical System

393

11.3.1 Structured consequence

393

11.3.2 Algorithmic structured consequence relation

394

11.3.3 Mechanisms

397

11.3.4 Modes of Evaluation

399

11.3.5 TAR-Logics

401

11.3.6 Relevance

403

11.4 Discussion and Further Reading

403

12 A Base Logic

404

12.1 Formal Abduction: An Overview

404

12.2 Introducing LDS

409

12.2.1 LDS for =>

409

12.2.2 Examples of Resource LDS

412

12.3 Goal Directed Algorithm for =>•

418

12.3.1 The Algorithm

419

12.3.2 Examples

421

12.4 Intuitive Theory of Labelled Abduction

423

12.4.1 Abduction in Knowledge Bases

424

Possible Principles of Abduction

425

12.4.2 Abduction in Planning and Natural Language

430

12.4.3 Abduction in Logic Programming

432

12.4.4 A Conversation Between Two Intelligent Databases

439

13 An Abductive Mechanism for the Base Logic

444

13.1 Introduction

444

13.2 Abduction Algorithm for =>

451

13.3 Case Study: Abduction for Intuitionistic Impli-cations

453

13.4 Case Study: Abduction for Relevance Logic

458

13.5 Conclusion

462

back matter

464

Bibliography

464

index

494