1 Laws Form Counterfactually Stable Sets 3
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1.1 Welcome 3
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1.2 Their Necessity Sets the Laws Apart 4
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1.3 The Laws’ Persistence under Counterfactuals 8
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1.4 Nomic Preservation 12
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1.5 Beyond Nomic Preservation 20
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1.6 A Host of Related Problems: Triviality, Circularity, Arbitrariness 25
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1.7 Sub-nomic Stability 28
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1.8 No Nonmaximal Set Containing Accidents Possesses Sub-nomic Stability 32
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1.9 How Two Sub-nomically Stable Sets Must Be Related: Multiple Strata of Natural Laws 37
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1.10 Why the Laws Would Still Have Been Laws 42
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1.11 Conclusion: Laws Form Stable Sets 43
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2 Natural Necessity 45
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2.1 What It Would Take to Understand Natural Necessity 45
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2.2 The Euthyphro Question 46
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2.3 David Lewis’s “Best System Account” 49
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2.4 Lewis’s Account and the Laws’ Supervenience 51
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2.5 The Euthyphro Question Returns 56
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2.6 Are All Relative Necessities Created Equal? 59
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2.7 The Modality Principle 63
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2.8 A Proposal for Distinguishing Genuine from Merely Relative Modalities 67
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2.9 Borrowing a Strategy from Chapter 1 71
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2.10 Necessity as Maximal Invariance 74
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2.11 The Laws Form a System 80
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2.12 Scientifi c Essentialism Squashes the Pyramid 82
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2.13 Why There Is a Natural Ordering of the Genuine Modalities 86
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2.14 Conclusion: Necessity, as Maximal Invariance, Involves Stability 88
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3 Three Payoffs of My Account 91
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3.1 The Itinerary 91
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3.2 Could the Laws of Nature Change? 92
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3.3 Why the Laws Are Immutable 96
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3.4 Symmetry Principles as Meta-laws 104
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3.5 The Symmetry Meta-laws Form a Nomically Stable Set 110
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3.6 The Relation between Chancy Facts and Deterministic Laws 120
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3.7 How to Account for the Relation 129
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4 A World of Subjunctives 135
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4.1 What If the Lawmakers Were Subjunctive Facts? 135
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4.2 The Lawmaker’s Regress 142
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4.3 Stability 150
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4.4 Avoiding Adhocery 156
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4.5 Instantaneous Rates of Change and the Causal Explanation Problem 162
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4.6 Et in Arcadia Ego 172
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4.7 The Rule of Law 176
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4.8 Why the Laws Must Be Complete 181
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4.9 Envoi: Am I Cheating? 188
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Notes 191
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References 243
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Index 253
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