1. The Nature of Vagueness: Humpty Dumpty Gets His Due 1 // 2. Interlude: The Place and Role of Model Theory 45 // 3. A Start on Model Theory 60 // 4. Connectives, Quantifiers, Logic 88 // 3. Refinements and Extensions I: So-Called "Higher-Order Vagueness" 125 // 6. Refinements and Extensions II: Objects, Identity, and Abstracts 165 // 7. Metaphysical Matters: Language, the World, and Objectivity 190 // APPENDIX: Waismann on Open-Texture and Analyticity 210 // References 216 // Index 221