Geometry and Chronometry in Philosophical Perspective

CONTENTS......Page 10
1. Introduction......Page 16
i) The Clash between Newton's and Riemann's Conceptions of Congruence and the Role of Conventions in Geochronometry......Page 19
ii) Physical Congruence, Testability, and Operationism......Page 43
iii) The Inadequacies of the Nongeometrical Portion of Riemann's Theory of Manifolds......Page 46
i) The Status of Reichenbach's 'Universal Forces,' and His 'Relativity of Geometry,'......Page 48
ii) Reichenbach's Theory of Equivalent Descriptions......Page 64
iii) An Error in the Carnap-Reichenbach Account of the Definition of Congruence: The Nonuniqueness of Any Definition of Congruence Furnished by Stipulating a Particular Metric Geometry......Page 65
i) Newtonian Mechanics......Page 72
ii) The General Theory of Relativity......Page 83
iii) The Cosmology of E. A. Milne......Page 86
i) The Russell-Poincaré Controversy......Page 93
ii) A. N. Whitehead's Unsuccessful Attempt to Ground an Intrinsic Metric of Physical Space and Time on the Deliverances of Sense......Page 95
iii) A. S. Eddington's Specious Trivialization of the Riemann-Poincaré Conception of Congruence and the Elaboration of Eddington's Thesis by H. Putnam and P. K. Feyerabend......Page 109
i) The Fundamental Difference between the Linguistic Interdependence of Geometry and Physics Affirmed by the Conventionalism of H. Poincaré and Their Epistemological (Inductive) Interdependence in the Sense of P. Duhem......Page 119
ii) Exegetical Excursus: Poincaré's Philosophy of Geometry......Page 133
i) Einstein's Duhemian Espousal of the Interdependence of Geometry and Physics......Page 135
ii) Critique of Einstein's Duhemian Thesis......Page 139
8. Summary......Page 154
Bibliography......Page 155
1. The Physical Status of the Hypothesis That Everything Has Doubled in Size Overnight......Page 160
i) The Duhemian Interdependence of Geometry and Physics in the Interpretation of Stellar Parallax Observations......Page 204
ii) The Empirical Status of the Spatial Geometry......Page 205
Bibliography......Page 206
1. Introduction......Page 208
2.0......Page 209
2.1......Page 210
2.2......Page 212
2.3......Page 213
2.4......Page 216
2.5......Page 218
2.6......Page 219
2.8......Page 222
2.9......Page 228
2.10......Page 229
2.11......Page 232
2.12......Page 240
2.13......Page 245
2.14......Page 252
2.15......Page 255
3.0......Page 256
3.1......Page 258
3.2......Page 260
3.3......Page 265
3.4......Page 268
4.0......Page 271
4.1......Page 277
5. Zeno's Paradoxes......Page 278
6.0......Page 283
6.1......Page 288
6.2......Page 294
7. The Intrinsicality of Color Attributes......Page 300
8.0......Page 308
8.1......Page 311
8.2......Page 322
8.3......Page 333
9.1......Page 349
9.2......Page 364
Bibliography......Page 382
INDEX......Page 386
D......Page 388
M......Page 389
R......Page 390
Z......Page 391