| CONTENTS | 5 |
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| FOREWORD | 11 |
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| ACKNOWLEDGMENTS | 14 |
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| INTRODUCTION | 15 |
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| 1. REALITY AND LOGIC | 15 |
| 2. THE OBJECTIVE AND PLAN OF LOGIC IN REALITY | 17 |
| 1 LOGIC IN REALITY (LIR) AS A FORMAL LOGIC | 21 |
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| 1.1 INITIAL AXIOMATIZATION: THE FUNDAMENTAL POSTULATE | 21 |
| 1.2 THE REAL AND REALITY | 26 |
| 1.3 LIR VERSUS STANDARD LOGICS: DEDUCTION | 31 |
| 1.4 NON-CLASSICAL LOGICS | 40 |
| 1.5 INDUCTIVE LOGIC AND ABDUCTIVE LOGIC: PROBABILITY | 50 |
| 1.6 QUANTUM LOGIC | 54 |
| 1.7 THE FORMAL AXIOMATIZATION OF LIR | 56 |
| 2 LIR AS A FORMAL SYSTEM | 61 |
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| 2.1 THE NON-CLASSICAL CALCULUS OF LIR: IMPLICATION | 61 |
| 2.2 TRUTH VALUES, CONTRADICTION AND REALITY VALUES | 63 |
| 2.3 IMPLICATION BETWEEN THE LIMITS | 69 |
| 2.4 CONJUNCTION AND DISJUNCTION | 76 |
| 3 LIR AS A FORMAL ONTOLOGY | 82 |
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| 3.1 REALISM AND FORMAL ONTOLOGIES | 82 |
| 3.2 THE LIR ONTOLOGICAL PREDICATES: DUALITY | 84 |
| 3.3 THE DOMAIN OF ENTITIES: LEVELS OF REALITY | 85 |
| 3.4 LIR AS AN INTERPRETED FORMAL SYSTEM | 86 |
| 3.5 THREE CRITICAL CONCEPTS | 87 |
| 3.6 SOME METALOGICAL CONSIDERATIONS | 92 |
| 3.7 THE LOGIC OF BEING | 94 |
| 4 THE CATEGORIES OF LIR | 100 |
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| 4.1 THE DEFINITION AND FUNCTION OF ONTOLOGY | 100 |
| 4.2 THE ESTABLISHMENT AND CONSTRUCTION OF CATEGORIES | 103 |
| 4.3 THE PHYSICS OF REALITY: THE FUNDAMENTAL DUALITIES | 104 |
| 4.4 THE CATEGORY OF ENERGY | 106 |
| 4.5 THE CATEGORY AND SUB-CATEGORIES OF DYNAMIC OPPOSITION | 118 |
| 4.6 THE CATEGORY OF PROCESS: CHANGE | 123 |
| 4.7 THE CATEGORY OF T-STATES | 125 |
| 4.8 THE CATEGORIES OF SUBJECT, OBJECT AND SUBJECT- OBJECT | 128 |
| 4.9 LIR AS A FORMAL ONTOLOGY: NEO AND THE CATEGORY- AXIOM FIT | 132 |
| 4.10 THE INTERPRETATION OF LIR | 138 |
| 5 THE CORE THESIS OF LIR: STRUCTURE AND EXPLANATION | 142 |
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| 5.1 THE CORE THESIS OF LIR | 143 |
| 5.2 A TWO-LEVEL FRAMEWORK OF RELATIONAL ANALYSIS | 145 |
| 5.3 ONTOLOGY AND METAPHYSICS IN PARALLEL | 151 |
| 5.4 THE STRUCTURE OF REALITY IN LIR | 154 |
| 5.5 WHAT IS AN EXPLANATION? | 169 |
| 5.6 THE ANALYTIC/SYNTHETIC DISTINCTION IN LIR | 175 |
| 6 LIR, METAPHYSICS AND PHILOSOPHY | 182 |
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| 6.1 INTRODUCTION: CAUSE AND DETERMINISM | 182 |
| 6.2 CAUSALITY IN LIR | 183 |
| 6.3 CONTINUITY AND DISCONTINUITY | 204 |
| 6.4 STATISM AND DYNAMISM | 211 |
| 6.5 DETERMINISM AND INDETERMINISM | 213 |
| 6.6 REALISM AND EXPERIENCE | 216 |
| 6.7 THE PRINCIPLE OF DYNAMIC OPPOSITION AND LAWS OF NATURE | 227 |
| 6.8 FRIEDRICH HEGEL: IDEALISM AND/ OR CONTRADICTION? | 235 |
| 6.9 THE LIR APPROACH TO PHILOSOPHY | 238 |
| 7 LIR AND PHYSICAL SCIENCE: TIME, SPACE AND COSMOLOGY | 248 |
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| 7.1 TIME AND SPACE: PRELIMINARY REMARKS | 248 |
| 7.2 THE LIR THEORY OF SPACE-TIME | 250 |
| 7.3 SOME ALTERNATIVE VIEWS OF TIME | 256 |
| 7.4 BEING AND BECOMING IN MODERN PHYSICS | 258 |
| 7.5 QUANTUM MECHANICS | 265 |
| 7.6 TOWARD A LOGICAL COSMOLOGY | 274 |
| 8 EMERGENCE, LIVING SYSTEMS AND CLOSURE | 287 |
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| 8.1 INTRODUCTION | 287 |
| 8.2 THE LIR APPROACH TO EMERGENCE | 291 |
| 8.3 EMERGENCE IN PERSPECTIVE | 295 |
| 8.4 EXPLAINING EMERGENCE | 302 |
| 8.5 CLOSURE IN LIVING SYSTEMS | 310 |
| 8.6 DOWNWARD CAUSATION | 313 |
| 8.7 EVOLUTION AND THE ORIGIN OF LIFE | 317 |
| 8.8 THE THERMODYNAMIC AND CYBERNETIC STANDPOINTS | 331 |
| CONCLUSION: NEW DIRECTIONS AND A NEW SKEPTICISM | 340 |
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| 1. NEW DIRECTIONS | 342 |
| 2. A NEW SKEPTICISM | 344 |
| APPENDIX 1 CLASSES AND SETS: THE AXIOM OF CHOICE | 347 |
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| 1. THE LOGIC OF FROZEN DIALECTICS | 347 |
| 2. THE AXIOM OF CHOICE | 350 |
| APPENDIX 2 THE SYSTEMS VIEWPOINT | 353 |
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| 1. THE ONTOLOGICAL BASIS OF SYSTEMS IN REALITY REALITY | 353 |
| 2. CYBERNETICS AND SYSTEMS THEORY | 356 |
| INDEX | 363 |