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Acknowledgements | ||
Introduction | 1 | |
1 | The Many Faces of Unity | 7 |
1.1 | Kepler: Unity as Mathematical Metaphysics | 7 |
1.2 | Kant: Unity as a Heuristic and Logical Principle | 12 |
1.3 | Whewell: Unity as Consilience and Certainty | 16 |
1.4 | Logical Empiricism: Unity as Method and Integration | 22 |
1.5 | Unity as Explanation | 25 |
2 | Unification, Realism and Inference | 35 |
2.1 | The Friedman Model | 38 |
2.2 | The Importance of Conjunction | 39 |
2.3 | Reduction versus Representation | 43 |
2.4 | Consilience and Unification | 52 |
2.5 | Unification as an Evidential or Epistemic Virtue | 57 |
Appendix | Derivation of the van der Waals Law: Historical Details | 59 |
3 | Maxwell's Unification of Electromagnetism and Optics | 62 |
3.1 | Development of Electromagnetic Theory: The Early Stages | 64 |
3.2 | Unification and Realism: Some Problems for the Electromagnetic Theory | 79 |
3.3 | The Electromagnetic Theory: Later Developments | 81 |
3.4 | Realism and Dynamical Explanation | 99 |
4 | Gauges, Symmetries and Forces: The Electroweak Unification | 109 |
4.1 | Fermi and Beta Decay | 110 |
4.2 | Symmetries, Objects and Laws | 114 |
4.3 | The First Steps to Unity: Symmetry and Gauge Theory | 118 |
4.4 | Unity through Symmetry-Breaking | 121 |
4.5 | Renormalization: The Final Constraint | 127 |
4.6 | When Unity Isn't Enough | 130 |
4.7 | Unified Theories and Disparate Things | 135 |
Appendix 4.1 | Weinberg's Lepton Model | 140 |
Appendix 4.2 | Renormalization | 143 |
5 | Special Relativity and the Unity of Physics | 147 |
5.1 | Electrodynamics circa 1892-1904: Lorentz and the Origins of Relativity | 149 |
5.2 | Einstein circa 1905: Lorentz Transformed | 162 |
5.3 | From Fields to Tensors: Minkowski Space-Time | 183 |
6 | Darwin and Natural Selection; Unification versus Explanation | 192 |
6.1 | On the Nature of Darwin's Theory | 193 |
6.2 | Kitcher's Argument Patterns: Explanation as Derivation and Systematization | 196 |
6.3 | Methods and Causes: History and Influence | 202 |
6.4 | Does Unity Produce Explanation? | 206 |
7 | Structural Unity and the Biological Synthesis | 210 |
7.1 | Synthesis and Unity | 210 |
7.2 | Mathematics and Theory | 213 |
7.3 | Disunity and Explanation | 227 |
Conclusions | 232 | |
Notes | 238 | |
References | 257 | |
Index | 267 |
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