Abstract
After some preliminary remarks about causality, determinism and predictability, the paper discusses a paradoxical aspect of the discrete-time quantized dynamical systems. Precisely in such deterministic systems the future behaviour is uniquely predictable but the past cannot be uniquely reconstructed; correspondingly the reversed-time system associated with a system of the considered kind is not deterministic, because the future time-course of its output is not predictable (even if its past behaviour can be uniquely reconstructed).
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Lepschy, A. (2003). Reflections about the Time Arrow. In: Benci, V., Cerrai, P., Freguglia, P., Israel, G., Pellegrini, C. (eds) Determinism, Holism, and Complexity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4947-2_9
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DOI: https://doi.org/10.1007/978-1-4757-4947-2_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3394-2
Online ISBN: 978-1-4757-4947-2
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