Is time reversible?

Yaroslav Shramko



This paper presents an elementary logical proof of time irreversibility. To this effect, we construct a simple mathematical model of a process, which can demonstrably be shown to be irreversible in the sense that it cannot be reproduced in a backward direction by the very conditions of its construction. To model this process we employ a puzzle problem (paradox) referred to in the literature as “Austin’s Dog” or “Trojan Fly”.


time; process; direction of time; reversibility of time; Trojan Fly

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Clark, M., Paradoxes from A to Z, London and New York, 2002: Routledge.

Davies, P, “That mysterious flow”, Scientific American, 287, 3 (2002): 40–45. DOI: 10.1038/scientificamerican0902-40

Deutsch, D., The Fabric of Reality, Penguin Books, 1998.

Gardner, M., Wheels, Life, and Other Mathematical Amusements, New York 1983: W.H. Freeman and Company.

Husserl, E., Vorlesungen zur Phänomenologie des inneren Zeitbewußtseins, Halle 1928: Max Niemeyer Verlag.

Laraudogoitia, J. P., “Dispositions and the Trojan Fly”, Noûs, 47 (2013). DOI: 10.1111/nous.12012

Leibniz, G.W., and S. Clarke, Correspondence, Edited, with Introduction, by R. Ariew, Indianapolis/Cambridge 2000: Hackett Publishing Co. Inc.

Overseth, O. E., “Experiments in time reversal”, Scientific American, 221 (1969): 88–101. DOI: 10.1038/scientificamerican1069-88

Plato. Statesman.

Price, H., Time’s Arrow and Archimedes’ Point, Oxford University Press 1996. DOI: 10.1093/acprof:oso/9780195117981.001.0001

Price, H., “The flow of time”, pp. 276–311 in C. Callender (ed.), The Oxford Handbook of Time, Oxford 2011: Oxford University Press. DOI: 10.1093/oxfordhb/9780199298204.003.0010

Reichenbach, H., The Direction of Time, Berkeley 1956: University of Los Angeles Press.

Salmon, W., Space, Time, and Motion: A Philosophical Introduction, Minneapolis 1980: University of Minnesota Press.

Snieder, R., “Time-reversal invariance and the relation between wave chaos and classical chaos”, pp. 1–16 in Fink et al. (eds.) Imaging of Complex Media with Acoustic and Seismic Waves, Springer 2002. DOI: 10.1007/3-540-44680-X_1

Uffink, J., “Bluff your way in the second law of thermodynamics”, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 32 (2001): 305–394. DOI: 10.1016/S1355-2198(01)00016-8

Whitrow, G.J., The Natural Philosophy of Time, Oxford 1980: the Clarendon Press.

Wittgenstein, L. Tractatus Logico-Philosophicus.

Zwart, P.J., “The flow of time”, Synthese, 24 (1972): 133–158. DOI: 10.1007/BF00540146

ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

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