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The concept of order

II. Measurements

Published online by Cambridge University Press:  24 October 2008

E. W. Bastin
Affiliation:
King's CollegeCambridge
C. W. Kilmister
Affiliation:
King's CollegeLondon

Abstract

From the idea of the continuous development of an investigation, as expressed in the use of indefinitely continuing sequences of procedures, the concept of a measurement together with its result is formulated. The resulting theory is initially very general, but it is possible to restrict it in such a way as to make the construction of a consistent world possible. The physical condition providing the restrictions that make this construction possible is found in the use of the general idea of a test-particle in all fundamental investigations, which is shown to be a case of the use of the theory-languages of the previous paper (1). Finally, the theory is applied to the solution of the problem of preferred inertial frames.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

(1)Bastin, E. W. and Kilmister, C. W.Proc. Camb. phil. Soc. 50 (1954), 278.CrossRefGoogle Scholar
(2)Bondi, H.Cosmology (Cambridge, 1952).Google Scholar
(3)Brouwer, L. E. J.J. reine angew. Math. 154 (1925), 1.Google Scholar
(4)Brouwer, L. E. J.Math. Ann. 93 (1925), 244.CrossRefGoogle Scholar
(5)Brouwer, L. E. J.Math. Ann. 96 (1927), 451.CrossRefGoogle Scholar
(6)Brouwer, L. E. J.Math. Ann. 97 (1927), 60.CrossRefGoogle Scholar
(7)Heyting, A.S.B. preuss. Akad. Wiss. (1930), 42.Google Scholar
(8)Sciama, D. W.Mon. Not. R. astr. Soc. 113 (1953), 34.CrossRefGoogle Scholar
(9)Whitehead, A. N. and Russell, B.Principia mathematica, vol. 1. (Cambridge, 1910).Google Scholar
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