The facts in logical space: a tractarian ontology
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2016
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | xii, 362 Seiten |
| ISBN: | 9780199682812 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804175920649469952 |
|---|---|
| adam_text | Contents
a
Acknowledgements ix
List of Figures xi
Introduction 1
1 Factalism 10
LI Just the Facts, Ma’am 10
1.1.1 Four doctrines 11
1.1.2 Why bother? 17
1.1.3 Geometrically related facts and the ostrich 22
1.2 The Grounding Project 23
1.3 Grounding in Facts 28
1.3.1 The factalisfs grounding project 29
1.3.2 Setting the terms 31
1.3.3 The flat-footed grounding story 31
1.4 Inferential Unsystematicity 34
1.4.1 The problem 34
1.4.2 What the problem is 36
1.43 What the problem isn’t 38
1.4.4 Why it’s a problem for the flat-footed strategy 40
1.5 The Tractatus to the Rescue 41
1.5.1 Identity and the Tractarian reduction 43
1.5.2 Adapting the strategy for factalists 45
1.6 The Problem of the Patterns 48
1.6.1 Patterns 48
1.6.2 So what? 53
1.7 An Appeal to Metaphysics 56
1.7.1 The insufficiency of similarity 57
1.7.2 Taking the geometry seriously 60
2 Tractarian Geometry 63
2.1 The Big Picture 63
2.1.1 The structures of Tractarian geometry 64
2.1.2 Finding predications in a Tractarian geometry 71
2.1.3 Relations and orientations 74
2.2 The Formal Language 76
2.2.1 The logic 76
2.2.2 Primitive geometric predicates 77
2.2.3 Compositional and nihilistic geometries 79
VI CONTENTS
2.3 Quality Spaces 80
2.3.1 Characteristic axioms for M 81
2.3.2 Lines 84
2.3.3 Dimensionality, connectivity, and quality spaces 85
2.3.4 Surfaces 91
2.4 Hypersurfaces 94
2.4.1 Diagonals 95
2.4.2 Similarity and anti-connection 96
2.4.3 Colouring inside the lines 97
2.4.4 Cross-space similarity 100
2.5 Predicational Determination 102
2.5.1 The Predicational Determination theorem 102
2.5.2 Coda: qualitative supervenience revisited 103
2.6 Proofs and Formalities 109
2.6.1 Lines and spaces 109
2.6.2 n-Dimensional surfaces 114
2.6.3 Anti-connectivity 125
2.6.4 Similarity and hypersurfaces 127
2.6.5 Global regularity 130
2.6.6 Proving Predicational Determination 131
2.6.7 Glowing results 133
3 Grounding Stories 134
3.1 The Main Idea 134
3.2 The Holistic Grounding Story 136
3.2.1 The representation theorem 137
3.2.2 Representation and the holistic grounding story 142
3.2.3 Inferential systematicity? 144
3.2.4 Aside: tiny geometries 145
3.3 Abstracta 146
3.3.1 The options 147
3.3.2 What about sentences? 150
3.3.3 Eliminating L 152
3.3.4 Predicational Determination without functions 153
3.3.5 Orientation surfaces 155
3.4 Paraphrase Strategies 161
3.4.1 Revisiting the Tractarian paraphrase strategy 163
3.4.2 Introducing the direct paraphrase strategy 167
3.4.3 Inferential systematicity 168
3.4.4 Going second-order 172
3.4.5 Plural quantification in £ 176
3.5 The Core Equivalence 178
3.5.1 Introducing the Core Equivalence 179
3.5.2 A squeezing argument 180
CONTENTS Vli
3.6 Proofs and Formalities 181
3.6.1 Proving the representation theorem 181
3.6.2 Holistic selection 188
3.6.3 Orientation systems 191
3.6.4 Proving the core equivalence 192
4 Modality 195
4.1 A Combinatorial Theory of Modality 195
4.1.1 Combinatorialism’s appeal 195
4.1.2 The simplest combinatorial theory 197
4.1.3 Two worries for the simplest combinatorial theory 201
4.2 The Colour Exclusion Problem 203
4.2.1 Two grounding stories 203
4.2.2 The two-stage approach 204
4.2.3 The one-stage approach 211
4.3 Necessary and Contingent Existence 219
4.3.1 Necessitism 220
4.3.2 Grounding stories for contingent appearances 227
4.3.3 Objections and replies 236
4.3.4 Coda: modalism and necessitism 244
4.4 Proofs and Formalities 246
4.4.1 The simplest combinatorial theory 246
4.4.2 KandR 251
4.4.3 Logic for contingentist paraphrases 253
4.4.4 RQML and GQ1R-S5 258
5 Labelling Stories 262
5.1 Preliminaries 263
5.1.1 First steps 263
5.1.2 Caveats 264
5.2 Stories for Names 265
5.2.1 A warm-up exercise 265
5.2.2 Semantic structuralism 267
5.2.3 Semantic structuralism and labels 268
5.2.4 Trans-world formulas, structural formulas, and paraphrase 269
5.2.5 Loose ends 272
5.3 Names without Orientations 274
5.3.1 Semantic permutation invariance 275
5.3.2 Invariance in paraphrase 276
5.3.3 Quidditism and invariance 277
5.4 Labelling and Orienting Predicates 280
5.4.1 The basic idea 280
5.4.2 Predicates without quality spaces 281
5.4.3 Extension and intension 282
5.4.4 Limitations 285
viii
CONTENTS
5.5 Changing the Subject? 288
5.6 Proofs and Formalities 288
5.6.1 Set-up 289
5.6.2 Generalized isomorphisms 290
5.6.3 Trans-world formulas 292
5.6.4 Structuralism, invariance, and canonical trans-world formulas 294
5.6.5 Paraphrase and orientations 295
5.6.6 Actuality 296
6 Alternatives and Applications 298
6.1 Alternatives 298
6.1.1 Relationalism 299
6.1.2 Dualism 304
6.2 Truthmaking 308
6.2.1 Formulating binarism 309
6.2.2 Hypersurface necessitism and universal truths 312
6.2.3 Combinatorial truthmaking 314
6.2.4 Truthmaking again 315
6.3 Summary 316
6.4 Monism 317
6.4.1 Statespace monism 318
6.4.2 Two Tractarian monisms 320
6.5 Ontological Nihilism 322
6.6 Proofs and Formalities 327
6.6.2 The binarist’s modal paraphrase 327
7 Conclusion 331
Theorem Dependencies 335
Summary of Axioms 337
List of Symbols 341
Bibliography 347
Index 355
Philosophers have long been tempted by the idea that objects and
properties are abstractions from the facts. But how is this abstraction
supposed to go? If the objects and properties aren’t ‘already’ there,
how do the facts give rise to them? Jason Turner develops and
defends a novel answer to this question: The facts are arranged in
a quasi-geometric logical space’, and objects and properties arise
from different quasi-geometric structures in this space.
ISBN 978-0-19-968281-2
|
| any_adam_object | 1 |
| author | Turner, Jason |
| author_facet | Turner, Jason |
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| dewey-ones | 160 - Philosophical logic |
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| dewey-search | 160 |
| dewey-sort | 3160 |
| dewey-tens | 160 - Philosophical logic |
| discipline | Philosophie |
| edition | First edition |
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| spelling | Turner, Jason Verfasser aut The facts in logical space a tractarian ontology Jason Turner First edition Oxford Oxford University Press 2016 xii, 362 Seiten txt rdacontent n rdamedia nc rdacarrier Ontologie (DE-588)4075660-9 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Ontologie (DE-588)4075660-9 s Logik (DE-588)4036202-4 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028780816&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028780816&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Turner, Jason The facts in logical space a tractarian ontology Ontologie (DE-588)4075660-9 gnd Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4075660-9 (DE-588)4036202-4 |
| title | The facts in logical space a tractarian ontology |
| title_auth | The facts in logical space a tractarian ontology |
| title_exact_search | The facts in logical space a tractarian ontology |
| title_full | The facts in logical space a tractarian ontology Jason Turner |
| title_fullStr | The facts in logical space a tractarian ontology Jason Turner |
| title_full_unstemmed | The facts in logical space a tractarian ontology Jason Turner |
| title_short | The facts in logical space |
| title_sort | the facts in logical space a tractarian ontology |
| title_sub | a tractarian ontology |
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| topic_facet | Ontologie Logik |
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