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The geometrical foundations of certain relativity theories
Published online by Cambridge University Press: 20 January 2009
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The physical observations that lead to quantitative physical theory are “pointer-readings.” The observational data consist of statements to the effect that, when one given set of pointers are incident on certain scale divisions, then another set of pointers are incident on such and such scale divisions. “Pointers” and “scale divisions” are here used in a generalised sense. The question arises as to how it is possible on the basis of a collection of incidence relations of this sort to build up a quantitative theory i.e. one involving the concept of measurement. It must be noted that until this is done any numbers associated with scale divisions serve merely as labels.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 4 , September 1938 , pp. 211 - 220
- Copyright
- Copyright © Edinburgh Mathematical Society 1938
References
page 211 note 1 Robb, A. A., Geometry of Time and Space (2nd ed., 1936).Google Scholar Possibly the work of Whitehead, A. N. (Principle of Relativity, 1922)Google Scholar should also be regarded as starting from “protective” foundations and including a treatment of the present problem. However, in his work this problem is not isolated from others concerning the foundations of physics.
page 212 note 1 Milne, E. A., Relativity, Gravitation, and World-Structure (Oxford, 1935)Google Scholar, to be referred to as W. S.
page 214 note 1 See for example, Baker, H. F., Principles of Geometry I (1929), Chapter I.Google Scholar
page 214 note 2 Baker, H. F., Principles of Geometry II (1930), Chapter 5.Google Scholar
page 215 note 1 Sommerville, D. M. Y.Report of the Australasian Assoc. for the Advancement of Science, XVII. (1924), 140–153.Google Scholar I am indebted to Professor E. T. Whittaker for this reference.
page 215 note 2 Throughout the work the velocity of light is taken to be unity.
page 215 note 3 Whitrow, G. J., Proc. London Math. Soc. (2), 41 (1936), 529–543.CrossRefGoogle Scholar
page 216 note 1 Walker, A. G., Monthly Notices, R.A.S., 95 (1935), 263–9.CrossRefGoogle Scholar
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page 217 note 2 See, for example, Sommerville, , loc. cit.Google Scholar
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page 220 note 3 Milne, , loc. cit.Google Scholar
page 220 note 4 Milne, , Proc. Roy. Soc., A., 159 (1937), 171.CrossRefGoogle Scholar
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