From Euler to Navier–Stokes: A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics

International Studies in the Philosophy of Science 28 (3):235-253 (2014)
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Abstract

This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier–Stokes equation. A dynamic version of Peter Gärdenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is argued to be an instance of normal science development

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Frank Zenker
Nankai University

Citations of this work

Continuity of Theory Structure: A Conceptual Spaces Approach.Frank Zenker & Peter Gärdenfors - 2016 - International Studies in the Philosophy of Science 30 (4):343-360.
Cognition, Meaning and Action: Lodz-Lund Studies in Cognitive Science.Piotr Łukowski, Aleksander Gemel & Bartosz Żukowski (eds.) - 2015 - Kraków, Polska: Lodz University Press & Jagiellonian University Press.

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References found in this work

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - Chicago, IL: University of Chicago Press. Edited by Ian Hacking.
The methodology of scientific research programmes.Imre Lakatos - 1978 - New York: Cambridge University Press.
The Structure of Scientific Revolutions.David Bohm - 1964 - Philosophical Quarterly 14 (57):377-379.

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