Cover -- Symmetry, structure, and spacetime -- Copyright -- Preface -- Acknowledgements -- Contents -- Chapter 1 Interpretation and formalism -- 1.1. Interpretation and ontology -- 1.2. Symmetry and structure -- 1.3. Permutation symmetry and possibility -- 1.4. A very brief primer on classical and quantum systems -- Chapter 2 Space and time in the leibniz-clarke debate -- 2.1. Substantivalism versus relationalism -- 2.2. Inflation versus deflation -- 2.3. Leibniz versus clarke -- 2.4. Sophisticated substantivalism and unsophisticated relationalism -- 2.5. Looking ahead to the modern debate -- Chapter 3 The interpretation of gauge symmetries -- 3.1. Maxwellian electromagnetism -- 3.2. Aspects of gauge theories -- 3.3. Interpretive problems of gauge theories -- 3.4. Why gauge? -- Chapter 4 Spacetime in general relativity -- 4.1. Manifold substantivalism -- 4.2. Models and worlds -- 4.3. The hole argument: the view from gauge theory -- Chapter 5 Responding to the hole problem -- 5.1. Troubles with determinism -- 5.2. The modalist turn -- 5.3. Varieties of relationalism -- Chapter 6 What is an observable in general relativity? -- 6.1. Defining observables -- 6.2. What is the significance of relational localization? -- Chapter 7 Time, change, and gauge -- 7.1. Holes and gauge: a brief recap -- 7.2. What is the problem of time? -- 7.3. A snapshot of the philosophical debate -- 7.4. Catalogue of responses -- 7.5. Enter structuralism -- 7.6. Quantum gravity and spacetime ontology -- Chapter 8 Symmetry and ontology -- 8.1. To reduce or not reduce? -- 8.2. Geometric mechanics and possibility spaces -- 8.3. Four views on reduction -- Chapter 9 Structuralism and symmetry -- 9.1. Three types of structuralism -- 9.2. To take objects or to leave them? -- 9.3. Surplus, semantic universalism and minimal structuralism.

9.4. Minimal structuralism is not constructive empiricism -- References -- Subject index.