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1 | (19) |
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1.1 The Nature of Modality |
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2 | (3) |
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1.2 Modality and Explanation |
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5 | (5) |
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5 | (1) |
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1.2.2 The Direction of Analysis |
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6 | (2) |
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1.2.3 Closeness to Actuality |
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8 | (2) |
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1.3 The Function of Modal Thought |
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10 | (4) |
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1.4 Modality in Metaphysics |
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14 | (1) |
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1.5 The Question of Reduction |
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15 | (3) |
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1.6 A Guide for Selective Readers |
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18 | (2) |
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20 | (34) |
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2.1 Necessity as Invariability |
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21 | (6) |
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2.1.1 The Problem of the Narrow Circle |
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21 | (1) |
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2.1.2 Truth in a Situation |
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22 | (4) |
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2.1.3 Ramseyfying out of the Circle |
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26 | (1) |
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2.2 Necessity as Unconditional Truth |
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27 | (1) |
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2.3 Necessity as Secure Truth |
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28 | (2) |
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30 | (4) |
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34 | (3) |
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37 | (6) |
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2.6.1 Modality and the Space of Worlds |
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37 | (1) |
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2.6.2 Modal Monism and Modal Dualism |
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38 | (5) |
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2.7 An Agenda for the Analysis of Modality |
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43 | (11) |
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46 | (5) |
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51 | (3) |
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3 Absolute Necessity and Iterated Modality |
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54 | (17) |
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3.1 Context Dependence and the Absolute Nature of Necessity |
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54 | (7) |
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54 | (5) |
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3.1.2 Context Invariance and the Quest for Precision |
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59 | (1) |
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3.1.3 Other Domain Restrictions |
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60 | (1) |
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3.2 Worlds and Possibility |
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61 | (2) |
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3.3 Modal Operators and Iterated Modality |
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63 | (8) |
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63 | (2) |
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3.3.2 The Tetradic Relation of Comparative Closeness |
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65 | (2) |
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3.3.3 The Modal Status of Modal Truths |
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67 | (4) |
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4 On the Contingency of Worlds |
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71 | (42) |
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72 | (2) |
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74 | (3) |
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77 | (6) |
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4.4 Three Principles about Worlds |
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83 | (2) |
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4.5 The Individuation of Worlds |
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85 | (14) |
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4.5.1 Actualization Conditions and Existential Dependence |
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85 | (3) |
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4.5.2 The Identity of Worlds across Possible Worlds |
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88 | (5) |
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4.5.3 The Existence Conditions of Worlds |
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93 | (6) |
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99 | (5) |
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4.6.1 Defining Worlds and Truth at a World |
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99 | (3) |
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4.6.2 Truth in a World and Truth at a World |
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102 | (2) |
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4.7 On the Fragility of All Worldly Matters |
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104 | (4) |
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4.8 Contingently Existing Worlds and Iterated Modality |
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108 | (5) |
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110 | (3) |
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113 | (33) |
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5.1 Extensions of the Lagadonian Language |
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114 | (7) |
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5.1.1 Introduction: Sets and Proper Classes |
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114 | (1) |
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5.1.2 Compounds of Proper-Class-Many Propositions |
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115 | (4) |
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5.1.3 Singular Propositions about Proper Classes |
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119 | (2) |
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5.2 Redefining Worlds and Truth at a World |
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121 | (12) |
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5.2.1 The Maximality of Worlds |
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121 | (5) |
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5.2.2 The Plenitude of the Space of Worlds |
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126 | (2) |
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5.2.3 The Identity and Existence Conditions of Worlds |
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128 | (3) |
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5.2.4 A New Definition of Worlds and of Truth at a World |
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131 | (2) |
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5.3 Implications for the Theory of Modality |
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133 | (13) |
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134 | (3) |
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137 | (3) |
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140 | (6) |
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6 Essence, Laws, and Explanation |
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146 | (37) |
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147 | (12) |
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6.1.1 Identity Conditions and Instantiation Conditions |
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147 | (5) |
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6.1.2 A Selective Survey of Essentialist Idioms |
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152 | (6) |
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6.1.3 Definition, Reduction, and Fundamentality |
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158 | (1) |
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6.2 Essence and Explanation |
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159 | (14) |
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159 | (2) |
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6.2.2 Essence, Laws, and Metaphysical Explanation |
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161 | (6) |
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6.2.3 The Covering-Law Conception of Grounding |
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167 | (6) |
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6.3 Essence and Fundamentality |
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173 | (7) |
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6.3.1 Essentiality is Indefinable |
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173 | (2) |
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6.3.2 Fundamental Essence Facts |
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175 | (5) |
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6.4 Explanatory Asymmetries |
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180 | (3) |
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7 Metaphysical and Nomic Necessity |
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183 | (16) |
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7.1 Denning Metaphysical and Nomic Necessity |
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183 | (6) |
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7.2 Explaining the Modal Facts |
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189 | (3) |
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7.3 An Alleged Example of Contingent Essence |
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192 | (5) |
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197 | (2) |
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8 The Standards of Closeness |
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199 | (25) |
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8.1 Preliminary Survey of Data |
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199 | (3) |
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8.2 David Lewis's Account |
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202 | (3) |
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8.3 The Causal Criterion of Relevance |
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205 | (4) |
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8.4 The Explanatory Criterion of Relevance |
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209 | (4) |
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8.5 The Laws of Nature and Pre-antecedent Match |
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213 | (4) |
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8.6 Facts about the Natural Laws |
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217 | (1) |
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8.7 The Standards of Similarity |
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218 | (3) |
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8.8 The Account in Action |
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221 | (3) |
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9 Clarifications, Additions, and Objections |
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224 | (19) |
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9.1 Spelling Out the Explanatory Criterion of Relevance |
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224 | (7) |
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224 | (1) |
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9.1.2 Producers, Omissions, and Preventers |
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225 | (2) |
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227 | (1) |
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9.1.4 Explanation and Context Dependence |
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228 | (1) |
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9.1.5 Relevant Similarities and Holding Fixed |
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229 | (2) |
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9.2 Closeness-Relevant Dissimilarities |
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231 | (8) |
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9.2.1 Completing the Account of Closeness |
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231 | (5) |
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9.2.2 Defining Departures |
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236 | (3) |
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239 | (4) |
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9.3.1 Counterfactual Chance Raising |
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239 | (2) |
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9.3.2 Antecedents that Contradict my Account |
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241 | (1) |
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241 | (2) |
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10 Causation, Nomic Determination, and the Counterfactual Test |
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243 | (29) |
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10.1 Causal and Counterfactual Thought |
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244 | (1) |
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10.2 Causal Discourse without Causal Relata |
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245 | (2) |
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10.3 Causation and Counterfactual Dependence |
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247 | (3) |
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10.3.1 The Deterministic Problem Cases |
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247 | (2) |
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10.3.2 Additional Problems under Indeterminism |
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249 | (1) |
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10.4 The Determination Idea |
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250 | (8) |
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10.4.1 The Determination Idea Spelled Out |
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251 | (5) |
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10.4.2 An Objection to the Determination Idea |
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256 | (2) |
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10.5 The Method of Difference |
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258 | (4) |
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10.6 The Counterfactual Test |
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262 | (8) |
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10.6.1 The Workings of the Counterfactual Test |
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262 | (2) |
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10.6.2 The Epistemic Requirements of the Counterfactual Test |
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264 | (2) |
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10.6.3 The Function of Counterfactual Reasoning |
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266 | (4) |
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10.7 The Utility of the Method of Difference and the Counterfactual Test |
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270 | (2) |
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11 On the Genealogy of Modality |
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272 | (46) |
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11.1 The Closeness Ordering |
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273 | (15) |
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11.1.1 Reducing the Epistemic Preconditions of the Counterfactual Test |
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273 | (2) |
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275 | (1) |
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11.1.3 Comparative Closeness to Actuality |
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276 | (6) |
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11.1.4 Generalizing the Counterfactual Test |
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282 | (6) |
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11.2 The Explanatory Criterion of Relevance |
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288 | (6) |
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11.2.1 An Informal Exposition |
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288 | (3) |
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11.2.2 A Formal Treatment |
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291 | (3) |
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11.3 Weighing Relevant Similarities |
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294 | (13) |
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11.3.1 Counterfactual Reasoning about Matters of Particular Fact |
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295 | (5) |
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11.3.2 Counterfactual Reasoning about the Natural Laws |
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300 | (2) |
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11.3.3 A System of Spheres |
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302 | (2) |
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11.3.4 Metaphysical Laws Revisited |
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304 | (2) |
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11.3.5 How to Weight Similarities |
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306 | (1) |
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11.4 The Notion of Counterfactual Dependence |
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307 | (2) |
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11.5 The Epistemic Preconditions of the Counterfactual Test (Revisited) |
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309 | (3) |
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11.6 The Notions of Possibility and Necessity |
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312 | (6) |
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Appendix: The Rationale for the Explanatory Criterion of Relevance |
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314 | (4) |
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12 Extensions and Limitations of the Counterfactual Test |
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318 | (19) |
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12.1 The Limits of the Counterfactual Test |
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318 | (4) |
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12.2 The Versatility of the Counterfactual Test |
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322 | (4) |
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12.3 The Counterfactual Test under Indeterminism |
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326 | (8) |
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12.3.1 Testing Claims about the Causes of Chances |
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326 | (3) |
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12.3.2 Avoiding Departures |
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329 | (5) |
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12.4 The Counterfactual Test without the Transitivity Assumption |
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334 | (3) |
References |
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337 | (12) |
Index |
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349 | |