Geometry and Chronometry in Philosophical Perspective.
by
 
Grunbaum, Adolft.

Title
Geometry and Chronometry in Philosophical Perspective.

Author
Grunbaum, Adolft.

ISBN
9780816662746

Personal Author
Grunbaum, Adolft.

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.

Subject Term
Relativity (Physics).
 
Space and time.

Genre
Electronic books.

Electronic Access
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LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryE-Book1198009-1001QC6 -- .G75 1968 EBEbrary E-Books