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Optical axiomatization of Minkowski space-time geometry
Philosophy of Science 53 (1):1-30 (1986)
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 modeledMy notes
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Citations of this work
Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
A System of Axioms for Minkowski Spacetime.Lorenzo Cocco & Joshua Babic - 2020 - Journal of Philosophical Logic (1):1-37.
Newtonian determinism to branching space-times indeterminism in two moves.Nuel Belnap - 2012 - Synthese 188 (1):5-21.
References found in this work
Causal theories of time and the conventionality of simultaneity.David Malament - 1977 - Noûs 11 (3):293-300.
The desirability of formalization in science.Patrick Suppes - 1968 - Journal of Philosophy 65 (20):651-664.
Time, Causality, and the Quantum Theory: Volume One, Essay on the CausalTheory of Time.Henry Mehlberg - unknown
The Physical Content of Minkowski Geometry.Brent Mundy - 1986 - British Journal for the Philosophy of Science 37 (1):25-54.
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