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On the Connexion of a Certain Identity with the Extension of Conical Order to n Dimensions

Published online by Cambridge University Press:  24 October 2008

Alfred A. Robb
Alfred A. Robb
Affiliation:
Emmanuel College
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Extract

1. In his book, A Theory of Time and Space, the writer showed that, contrary to the generally accepted view, the ideas of Congruence can be built up from purely ordinal considerations, provided that we do not confine ourselves to linear order, but admit what, for convenience, he has called Conical Order. This Conical Order is built up from the purely abstract asymmetrical relations of before and after and does not pre-suppose the existence of the cones which are used to illustrate it.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 3 , July 1928 , pp. 357 - 374
Copyright
Copyright © Cambridge Philosophical Society 1928

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