Abstract
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 in this complex array of nineteenth-century philosophies of number, quantity, and measurement.Author Keywords: Helmholtz; Measurement; Arithmetic; P. Du Bois-Reymond; H. and R. Grassmann; J. von Kries.
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DOI 10.1016/s0039-3681(03)00043-8
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References found in this work BETA

A Set of Independent Axioms for Extensive Quantities.Patrick Suppes - 1951 - Portugaliae Mathematica 10 (4):163-172.
La mesure du temps.H. Poincaré - 1898 - Revue de Métaphysique et de Morale 6 (1):1 - 13.
Measurement.Ernest Nagel & C. G. Hempel - 1931 - Erkenntnis 2 (1):313-335.
Circularity and Reliability in Measurement.Hasok Chang - 1995 - Perspectives on Science 3:153-172.
The Origins of the Representational Theory of Measurement: Helmholtz, Hölder, and Russell.Joel Michell - 1993 - Studies in History and Philosophy of Science Part A 24 (2):185-206.

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Citations of this work BETA

Measurement in Science.Eran Tal - 2015 - Stanford Encyclopedia of Philosophy.
The Epistemological Question of the Applicability of Mathematics.Paola Cantù - 2018 - Journal for the History of Analytical Philosophy 6 (3).
Perception and Coincidence in Helmholtz’s Theory of Measurement.Matthias Neuber - 2018 - Journal for the History of Analytical Philosophy 6 (3).

View all 19 citations / Add more citations

Similar books and articles

Hermann von Helmholtz.Lydia Patton - 2008 - Stanford Encyclopedia of Philosophy.
The Origins of the Representational Theory of Measurement: Helmholtz, Hölder, and Russell.Joel Michell - 1993 - Studies in History and Philosophy of Science Part A 24 (2):185-206.

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