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Geometry and Chronometry in Philosophical Perspective.
Title:
Geometry and Chronometry in Philosophical Perspective.
Author:
Grunbaum, Adolft.
ISBN:
9780816662746
Personal Author:
Physical Description:
1 online resource (391 pages)
Contents:
CONTENTS -- Chapter I. GEOMETRY, CHRONOMETRY, AND EMPIRICISM -- 1. Introduction -- 2. The Criteria of Rigidity and Isochronism: The Epistemological Status of Spatial and Temporal Congruence -- (i) The Clash between Newton's and Riemann's Conceptions of Congruence and the Role of Conventions in Geochronometry -- (ii) Physical Congruence, Testability, and Operationism -- (iii) The Inadequacies of the Nongeometrical Portion of Riemann's Theory of Manifolds -- 3. An Appraisal of R. Carnap's and H. Reichenbach's Philosophy of Geometry -- (i) The Status of Reichenbach's 'Universal Forces,' and His 'Relativity of Geometry,' -- (ii) Reichenbach's Theory of Equivalent Descriptions -- (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 -- 4. Some Chronometric Ramifications of the Conventionality of Congruence -- (i) Newtonian Mechanics -- (ii) The General Theory of Relativity -- (iii) The Cosmology of E. A. Milne -- 5. Critique of Some Major Objections to the Conventionality of Spatiotemporal Congruence -- (i) The Russell-Poincaré Controversy -- (ii) A. N. Whitehead's Unsuccessful Attempt to Ground an Intrinsic Metric of Physical Space and Time on the Deliverances of Sense -- (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 -- 6. The Bearing of Alternative Metrizability on the Interdependence of Geochronometry and Physics -- (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 -- (ii) Exegetical Excursus: Poincaré's Philosophy of Geometry.

7. The Empirical Status of Physical Geometry -- (i) Einstein's Duhemian Espousal of the Interdependence of Geometry and Physics -- (ii) Critique of Einstein's Duhemian Thesis -- 8. Summary -- Bibliography -- Chapter II. GEOMETRY AND PHYSICS -- 1. The Physical Status of the Hypothesis That Everything Has Doubled in Size Overnight -- 2. The Interdependence of Geometry and Physics, and the Empirical Status of the Spatial Geometry -- (i) The Duhemian Interdependence of Geometry and Physics in the Interpretation of Stellar Parallax Observations -- (ii) The Empirical Status of the Spatial Geometry -- Bibliography -- Chapter III. REPLY TO HILARY PUTNAM'S "AN EXAMINATION OF GRÜNBAUM'S PHILOSOPHY OF GEOMETRY" -- 1. Introduction -- 2. Riemann's Philosophy of Geometry and Einstein's General Theory of Relativity -- 2.0 -- 2.1 -- 2.2 -- 2.3 -- 2.4 -- 2.5 -- 2.6 -- 2.7 -- 2.8 -- 2.9 -- 2.10 -- 2.11 -- 2.12 -- 2.13 -- 2.14 -- 2.15 -- 3. Newton's Conception of Congruence vis-à-vis Geochronometric Conventionalism ("GC") and Trivial Semantical Conventionalism ("TSC") -- 3.0 -- 3.1 -- 3.2 -- 3.3 -- 3.4 -- 4. The Metrization of Pressure Phenomena -- 4.0 -- 4.1 -- 5. Zeno's Paradoxes -- 6. A-Conventionality and B-Conventionality -- 6.0 -- 6.1 -- 6.2 -- 7. The Intrinsicality of Color Attributes -- 8. Simultaneity in the Special and General Theories of Relativity -- 8.0 -- 8.1 -- 8.2 -- 8.3 -- 9. The Need for Universal Forces in the Case of Nonstandard Metrics: Refutation of Putnam's "Theorem," -- 9.0 -- 9.1 -- 9.2 -- Bibliography -- INDEX -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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