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A Helmholtzian Approach To Space And Time

Olivier Darrigol

Studies in History and Philosophy of Science Part A 38 (3):528-542 (2007)

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Number and measure: Hermann von Helmholtz at the crossroads of mathematics, physics, and psychology.Olivier Darrigol - 2003 - Studies in History and Philosophy of Science Part A 34 (3):515-573.details In 1887 Helmholtz discussed the foundations of measurement in science as a last contribution to his philosophy of knowledge. This essay borrowed from earlier debates on the foundations of mathematics, on the possibility of quantitative psychology, and on the meaning of temperature measurement. Late nineteenth-century scrutinisers of the foundations of mathematics made little of Helmholtz’s essay. Yet it inspired two mathematicians with an eye on physics, and a few philosopher-physicists. The aim of the present paper is to situate Helmholtz’s contribution (...) Download Export citation Bookmark 26 citations
Physiological Optics and Physical Geometry.David Jalal Hyder - 2001 - Science in Context 14 (3):419-456.details ArgumentHermann von Helmholtz’s distinction between “pure intuitive” and “physical” geometry must be counted as the most influential of his many contributions to the philosophy of science. In a series of papers from the 1860s and 70s, Helmholtz argued against Kant’s claim that our knowledge of Euclidean geometry was an a priori condition for empirical knowledge. He claimed that geometrical propositions could be meaningful only if they were taken to concern the behaviors of physical bodies used in measurement, from which it (...) Download Export citation Bookmark 4 citations
The Hole Argument.John D. Norton - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:56 - 64.details I give an informal outline of the hole argument which shows that spacetime substantivalism leads to an undesirable indeterminism in a broad class of spacetime theories. This form of the argument depends on the selection of differentiable manifolds within a spacetime theory as representing spacetime. I consider the conditions under which the argument can be extended to address versions of spacetime substantivalism which select these differentiable manifolds plus some further structure to represent spacetime. Finally, I respond to the criticisms of (...) Download Export citation Bookmark 81 citations
Hermann von Helmholtz.Leo Koenigsberger, Lord Kelvin & Frances A. Welby - 1907 - Journal of Philosophy, Psychology and Scientific Methods 4 (26):715-717.details Download Export citation Bookmark 16 citations
The Foundations of Geometry and the Concept of Motion: Helmholtz and Poincaré.Gerhard Heinzmann - 2001 - Science in Context 14 (3):457-470.details ArgumentAccording to Hermann von Helmholtz, free mobility of bodies seemed to be an essential condition of geometry. This free mobility can be interpreted either as matter of fact, as a convention, or as a precondition making measurements in geometry possible. Since Henri Poincaré defined conventions as principles guided by experience, the question arises in which sense experiential data can serve as the basis for the constitution of geometry. Helmholtz considered muscular activity to be the basis on which the form of (...) Download Export citation Bookmark 10 citations
Geometric Facts and Geometric Theory: Helmholtz and 20th-century Philosophy of Physical Geometry1.Martin Carrier - 1994 - In Lorenz Krüger (ed.), Universalgenie Helmholtz. Rückblick nach 100 Jahren. Akademie Verlag. pp. 276-292.details Download Export citation Bookmark 8 citations

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