Identity in physics: a historical, philosophical, and formal analysis
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Clarendon Press
2010
|
| Edition: | 1. publ. in paperback |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [385] - 413 |
| Physical Description: | XV, 422 S. graph. Darst. |
| ISBN: | 9780199575633 |
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Record in the Search Index
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| adam_text | Titel: Identity in physics
Autor: French, Steven
Jahr: 2010
Contents
Preface xi
1. Introduction 1
1.1. Individuality, Distinguishability, and Identity 4
1.2. Bündle Individuality 8
1.3. Transcendental Individuality 11
1.4. Self-Identity 14
1.5- Distinguishability 15
1.6. Haecceitism 17
1.7. Trans-temporal Identity 19
1.8. Summary 21
2. Individuality in Classical Physics 22
2.1. A Brief History of Classical Statistical Mechanics 24
2.2. Classical Statistical Mechanics and Individuality Revisited 40
2.3. A Field-Theoretic Approach 51
2.4. Individuality and Space-Time 65
2.5. Conclusion: The Metaphysics of Classical Physics 81
3- Quantum Statistics and Non-Individuality 84
3.1. The Early History of Quantum Statistics 85
3.2. The Later History of Quantum Statistics 94
3.3. The Impact of Quantum Statistics: Quantum
Non-Individuality 104
3.4. Bohr s View ofParticle Individuality 107
3.5. Born and Structural Invariants 115
3.6. Schrödinger and the Loss of Identity 119
3.7. Weyl and the Analysis of Aggregates 127
3.8. Back to the History: Parastatistics 131
4. Individuality and Non-Individuality in Quantum Mechanics 139
4.1. Indistinguishability and Individuality 140
4.1.1. Challenge No. 1: Classical Partides as
Non-Individuals 144
viü Contents
4.1.2. Challenge No. 2: Quantum Particles as
Individuais 146
4.1.3. The Indistinguishabilky Postulate as
an Initial Condition 148
4.2. The Individuality of Quantum Particles 149
4.2.1. Quantum Mechanics and the Principle of
Identity of Indiscernibles 150
4.3. Space-Time Individuality and Configuration Space 173
4.4. Individuality, Bell and Non-Supervenient Relations 179
4.5. The Underdetermination of Metaphysics by Physics 189
5. Names, Nomological Objects and Quasets 198
5.1. The Role of Names in Science 199
5.2. Names and the Practice of Physics 210
5-3. Names, Possible Worlds and Particle Statistics 212
5.4. Names and Nomological Objects 221
5.5. Quasets 232
5.5.1. Quaset Theory 233
5.6. Conclusion 237
6. A Problem for Present-Day Mathematics 238
6.1. The Statement ofthe Problem 239
6.2. The Use of Standard Languages 245
6.2.1. The Lack of Identity 247
6.3. Identity in Classical Logic and Mathematics 250
6.3.1. Identity in First-Order Classical Logic 251
6.3.2. Identity in Higher-Order Logic 254
6.4. Set Theory and Individuation 258
6.5. Characterizing Indistinguishability 260
6.5.1. Weyls Strategy 261
6.5.2. Indiscernibility and Structures 264
6.5.3. The Implications for the Philosophy of Quantum
Theory 267
7. The Mathematics of Non-Individuality 272
7.1. The Name of the Game 273
7.2. The Quasi-Set Theory Q 275
Contents ix
7.2.1. Relations and Quasi-Functions 281
7.2.2. Quasi-Cardinals 284
7.2.3. Weak Extensionality 290
7.2.4. Replacement Axioms 291
7.2.5. The Strang Singleton 292
7.2.6. Permutations are not Observable 295
7.2.7. The Axiom ofChoice 297
7.2.8. Remark on the Existence of Atoms: The
Theory Qm 297
7.3. Relative Consistency 298
7.4. Quaset Ideas within Quasi-Set Theory 303
7.5. Changes in Time: The Theory Q* 306
7.6. Quantum Statistics within £3 310
7.7. On Justifying Quasi-Set Theory 317
7.7.1. Quasi-Sets and Quasets: A New Look 318
8. Non-Reflexive Quantum Logics 321
8.1. Motivation 322
8.2. First-Order Systems 324
8.3. Higher-Order Schrödinger Logics 326
8.3.1. Identity and Absolute Indistinguishability 328
8.4. A Classical Semantics for SM 329
8.4.1. Identity and Indistinguishability Revisited 334
8.5. The Intensional System S(ÜT 334
8.6. Generalized Quasi-Set Semantics 336
8.6.1. The Theory SM1 340
8.6.2. Soundness and Generalized Completeness 340
8.6.3. Comprehension and Other Axioms 342
8.6.4. General Discussion 343
8.7. Quantum Sortal Predication 344
8.7.1. Sortal Predication 344
8.7.2. Quantum-Sortal Predicates 347
8.7.3. Sortal Logics 351
8.8. Semantical Analysis 352
9. The Logic ofQuanta 354
9.1. The Nature ofQFT 355
9.2. Metaphysical Options 365
Contents
9.3. Models and the Fock Space Formalism 370
9.3.1. A Suppes Predicate for QFT 374
9.4. Quasi-Sets and the Objectivity ofQuanta 379
References 385
Index 415
|
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| spelling | French, Steven Verfasser (DE-588)143335774 aut Identity in physics a historical, philosophical, and formal analysis by Steven French and Décio Krause 1. publ. in paperback Oxford [u.a.] Clarendon Press 2010 XV, 422 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [385] - 413 Philosophie Quantentheorie Quantum theory Philosophy Physics Philosophy Metaphysics Individuality Philosophie (DE-588)4045791-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Philosophie (DE-588)4045791-6 s DE-604 Krause, Décio Verfasser (DE-588)143335812 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021176622&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | French, Steven Krause, Décio Identity in physics a historical, philosophical, and formal analysis Philosophie Quantentheorie Quantum theory Philosophy Physics Philosophy Metaphysics Individuality Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4047992-4 |
| title | Identity in physics a historical, philosophical, and formal analysis |
| title_auth | Identity in physics a historical, philosophical, and formal analysis |
| title_exact_search | Identity in physics a historical, philosophical, and formal analysis |
| title_full | Identity in physics a historical, philosophical, and formal analysis by Steven French and Décio Krause |
| title_fullStr | Identity in physics a historical, philosophical, and formal analysis by Steven French and Décio Krause |
| title_full_unstemmed | Identity in physics a historical, philosophical, and formal analysis by Steven French and Décio Krause |
| title_short | Identity in physics |
| title_sort | identity in physics a historical philosophical and formal analysis |
| title_sub | a historical, philosophical, and formal analysis |
| topic | Philosophie Quantentheorie Quantum theory Philosophy Physics Philosophy Metaphysics Individuality Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Philosophie Quantentheorie Quantum theory Philosophy Physics Philosophy Metaphysics Individuality |
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