Mereology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2021
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| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xvi, 405 Seiten Diagramme 24 cm |
| ISBN: | 9780198749004 |
Internformat
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Datensatz im Suchindex
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| adam_text | CONTENTS PREFACE LIST OF FIGURES 1 WHAT IS MEREOLOGY? x.i 1.2 1.3 1.4 1.5 2 A Bit of History Contemporary Perspectives 1.2.1 Mereology as Formal Ontology 1.2.2 Mereology as an Alternative to Set Theory Part and Parthood Parts and Wholes The Formal Setting XI XV 1 շ 5 6 8 12 15 17 CLASSICAL MEREOLOGY 21 2.1 22 22 25 29 32 32 35 37 40 40 43 44 45 47 49 2.2 2.3 2.4 A Perspicuous Axiom System 2.1.1 A Partial Order 2.1.2 Decomposition 2.1.3 Composition Algebraic Models 2.2.1 Boolean Algebras 2.2.2 Complete Boolean Algebras Are Models 2.2.3 Models Are Complete Boolean Algebras Set-theoretic Models 2.3.1 Finite Models 2.3.2 Infinite Models Other Axiom Systems 2.4.1 Proper Parthood as Primitive 2.4.2 Overlap or Disjointness as Primitive 2.4.3 More Parthood Axiomatizations
viii CONTENTS 2.44 2.4.5 Further Options Primitivity in Mereology 50 54 Reflexivity and Irreflexivity 3.1.1 Concrete Self-parts 3.1.2 Abstract Self-parts Antisymmetry and Asymmetry 3.2.1 Loops 3.2.2 Irregular Parts 3.2.3 Mutual Parts and Extensionality Transitivity 3.3.1 Distinguished Parts 3.3.2 Immediate Parts 3.3.3 Parts of Parts 3.3.4 Local Transitivity and Beyond 57 59 60 62 65 65 67 70 76 78 81 86 91 ORDERING 3-і 3.2 3·3 DECOMPOSITION 4.1 Complementation 4.1.1 Remainders 4.1.2 Boolean Complements 4.1.3 Complementation and Composition 4-2 Strong Supplementation 4.2.1 Supervenience 4.2.2 Strong Supplementation and Extensionality 4·3 Weak Supplementation 4.3.1 Solitary Parts 4.3.2 Weak Supplementation and Extensionality 4.3.3 Strictly Weak Supplementation 44 Even Weaker Supplementation 4·5 Null Objects հ.6 Atoms and Gunk 4.6.1 Atomism 4.6.2 Atomlessness 4.6.3 Hybrid Theories COMPOSITION 5-і 5.2 Fusions 5.1.1 Types of Fusion 5.1.2 Comparisons Existence and Identity 5.2.1 Existence 95 97 98 101 106 108 109 111 114 116 121 125 128 135 142 145 151 156 159 160 160 163 174 174
CONTENTS 5.2.2 Uniqueness 5.2.3 Composition as Identity 5.3 Structured Composites 5.3.1 Levels 5.3.2 Order 5.3.3 Repetition 5.3.4 Compositional Pluralism 5.4 The Universe 5.4.1 A Russell Paradox? 5.4.2 Super-Universal Wholes 5.5 Coatoms and Junk 6 logic 6.1 Expressive Power 6.1.1 Second-Order Mereology 6.1.2 Plural Quantification andMegethology 6.2 Time and Modality 6.2.1 Temporal and Modal Parts 6.2.2 More Arguments for Parthood 6.2.3 Modal Mereology 6.3 Indeterminacy 6.3.1 De Dicto and De Re 6.3.2 Ontic Indeterminacy 6.3.3 Fuzzy Mereology 6.3.4 Overdeterminacy and Paraconsistency 6.4 Non-classical Logicsand Non-classical Mereologies 188 193 201 202 205 206 209 212 213 218 220 231 231 233 238 245 247 252 260 264 265 267 270 274 279 BIBLIOGRAPHY 283 INDEX 365 365 377 391 394 Names Subjects Featured Formulas Symbols LIST OF FEATURED FORMULAS 397 ІХ
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| adam_txt |
CONTENTS PREFACE LIST OF FIGURES 1 WHAT IS MEREOLOGY? x.i 1.2 1.3 1.4 1.5 2 A Bit of History Contemporary Perspectives 1.2.1 Mereology as Formal Ontology 1.2.2 Mereology as an Alternative to Set Theory 'Part' and Parthood Parts and Wholes The Formal Setting XI XV 1 շ 5 6 8 12 15 17 CLASSICAL MEREOLOGY 21 2.1 22 22 25 29 32 32 35 37 40 40 43 44 45 47 49 2.2 2.3 2.4 A Perspicuous Axiom System 2.1.1 A Partial Order 2.1.2 Decomposition 2.1.3 Composition Algebraic Models 2.2.1 Boolean Algebras 2.2.2 Complete Boolean Algebras Are Models 2.2.3 Models Are Complete Boolean Algebras Set-theoretic Models 2.3.1 Finite Models 2.3.2 Infinite Models Other Axiom Systems 2.4.1 Proper Parthood as Primitive 2.4.2 Overlap or Disjointness as Primitive 2.4.3 More Parthood Axiomatizations
viii CONTENTS 2.44 2.4.5 Further Options Primitivity in Mereology 50 54 Reflexivity and Irreflexivity 3.1.1 Concrete Self-parts 3.1.2 Abstract Self-parts Antisymmetry and Asymmetry 3.2.1 Loops 3.2.2 Irregular Parts 3.2.3 Mutual Parts and Extensionality Transitivity 3.3.1 Distinguished Parts 3.3.2 Immediate Parts 3.3.3 Parts of Parts 3.3.4 Local Transitivity and Beyond 57 59 60 62 65 65 67 70 76 78 81 86 91 ORDERING 3-і 3.2 3·3 DECOMPOSITION 4.1 Complementation 4.1.1 Remainders 4.1.2 Boolean Complements 4.1.3 Complementation and Composition 4-2 Strong Supplementation 4.2.1 Supervenience 4.2.2 Strong Supplementation and Extensionality 4·3 Weak Supplementation 4.3.1 Solitary Parts 4.3.2 Weak Supplementation and Extensionality 4.3.3 Strictly Weak Supplementation 44 Even Weaker Supplementation 4·5 Null Objects հ.6 Atoms and Gunk 4.6.1 Atomism 4.6.2 Atomlessness 4.6.3 Hybrid Theories COMPOSITION 5-і 5.2 Fusions 5.1.1 Types of Fusion 5.1.2 Comparisons Existence and Identity 5.2.1 Existence 95 97 98 101 106 108 109 111 114 116 121 125 128 135 142 145 151 156 159 160 160 163 174 174
CONTENTS 5.2.2 Uniqueness 5.2.3 Composition as Identity 5.3 Structured Composites 5.3.1 Levels 5.3.2 Order 5.3.3 Repetition 5.3.4 Compositional Pluralism 5.4 The Universe 5.4.1 A Russell Paradox? 5.4.2 Super-Universal Wholes 5.5 Coatoms and Junk 6 logic 6.1 Expressive Power 6.1.1 Second-Order Mereology 6.1.2 Plural Quantification andMegethology 6.2 Time and Modality 6.2.1 Temporal and Modal Parts 6.2.2 More Arguments for Parthood 6.2.3 Modal Mereology 6.3 Indeterminacy 6.3.1 De Dicto and De Re 6.3.2 Ontic Indeterminacy 6.3.3 Fuzzy Mereology 6.3.4 Overdeterminacy and Paraconsistency 6.4 Non-classical Logicsand Non-classical Mereologies 188 193 201 202 205 206 209 212 213 218 220 231 231 233 238 245 247 252 260 264 265 267 270 274 279 BIBLIOGRAPHY 283 INDEX 365 365 377 391 394 Names Subjects Featured Formulas Symbols LIST OF FEATURED FORMULAS 397 ІХ |
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| edition | First edition |
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| isbn | 9780198749004 |
| language | English |
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| spelling | Cotnoir, A. J. Verfasser (DE-588)1058663283 aut Mereology A. J. Cotnoir and Achille C. Varzi First edition Oxford Oxford University Press 2021 xvi, 405 Seiten Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Whole and parts (Philosophy) Mereologie (DE-588)4169453-3 gnd rswk-swf Teil-Ganzes-Beziehung (DE-588)4184609-6 gnd rswk-swf Mereologie (DE-588)4169453-3 s Teil-Ganzes-Beziehung (DE-588)4184609-6 s DE-604 Varzi, Achille C. 1958- Verfasser (DE-588)154577324 aut Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032938075&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cotnoir, A. J. Varzi, Achille C. 1958- Mereology Whole and parts (Philosophy) Mereologie (DE-588)4169453-3 gnd Teil-Ganzes-Beziehung (DE-588)4184609-6 gnd |
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| title | Mereology |
| title_auth | Mereology |
| title_exact_search | Mereology |
| title_exact_search_txtP | Mereology |
| title_full | Mereology A. J. Cotnoir and Achille C. Varzi |
| title_fullStr | Mereology A. J. Cotnoir and Achille C. Varzi |
| title_full_unstemmed | Mereology A. J. Cotnoir and Achille C. Varzi |
| title_short | Mereology |
| title_sort | mereology |
| topic | Whole and parts (Philosophy) Mereologie (DE-588)4169453-3 gnd Teil-Ganzes-Beziehung (DE-588)4184609-6 gnd |
| topic_facet | Whole and parts (Philosophy) Mereologie Teil-Ganzes-Beziehung |
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