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Optical Axiomatization of Minkowski Space-Time Geometry

Published online by Cambridge University Press:  01 April 2022

Brent Mundy
Brent Mundy*
Affiliation:
Department of Philosophy, University of Oklahoma
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Abstract

Minkowski geometry is axiomatized in terms of the asymmetric binary relation of optical connectibility, using ten first-order axioms and the second-order continuity axiom. An axiom system in terms of the symmetric binary optical connection relation is also presented. The present development is much simpler than the corresponding work of Robb, upon which it is modeled.

Type
Research Article
Information
Philosophy of Science , Volume 53 , Issue 1 , March 1986 , pp. 1 - 30
Copyright
Copyright © The Philosophy of Science Association 1986

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Footnotes

†

This work was supported by a grant from the National Endowment for the Humanities.

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