(2013)

Abstract
This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general relativity is briefly sketched as a process of escaping from the Helmholtzian tradition and entering the Riemannian one. Early logical empiricist conventionalism, it is argued, emerges as the failed attempt to interpret Einstein's reflections on rods and clocks in general relativity through the conceptual resources of the Helmholtzian tradition. Einstein's epistemology of geometry should, in spite of his rhetorical appeal to Helmholtz and Poincaré, be understood in the wake the Riemannian tradition and of its aftermath in the work of Levi-Civita, Weyl, Eddington, and others
Keywords pra
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,342
Through your library

References found in this work BETA

Dynamics of Reason.Michael Friedman - 2004 - Philosophy and Phenomenological Research 68 (3):702-712.
Space, Time, and Spacetime.Lawrence Sklar - 1974 - University of California Press.
Einstein's Unification.Jeroen van Dongen - 2010 - Cambridge University Press.

View all 28 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Three Moral Traditions.John P. Reeder Jr - 1994 - Journal of Religious Ethics 22 (1):75 - 92.
The Thick of It.Michael Sandel - 2010 - The Philosophers' Magazine 48 (48):22-31.
Federico Squarcini.Traditions Against Tradition - 2005 - In Federico Squarcini (ed.), Boundaries, Dynamics and Construction of Traditions in South Asia. Firenze University Press and Munshiram Manoharlal. pp. 437.
Are Dinosaurs Extinct?Richard Creath - 1995 - Foundations of Science 1 (2):285-297.
Oakeshott's Skepticism and the Skeptical Traditions.John Christian Laursen - 2005 - European Journal of Political Theory 4 (1):37-55.

Analytics

Added to PP index
2014-10-20

Total views
12 ( #715,418 of 2,326,057 )

Recent downloads (6 months)
1 ( #650,227 of 2,326,057 )

How can I increase my downloads?

Downloads

My notes