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A Geometrical Characterization of the Twin Paradox and its Variants
Studia Logica 95 (1-2):161 - 182 (2010)
Abstract
The aim of this paper is to provide a logic-based conceptual analysis of the twin paradox (TwP) theorem within a first-order logic framework. A geometrical characterization of TwP and its variants is given. It is shown that TwP is not logically equivalent to the assumption of the slowing down of moving clocks, and the lack of TwP is not logically equivalent to the Newtonian assumption of absolute time. The logical connection between TwP and a symmetry axiom of special relativity is also studiedLinks
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Citations of this work
This Year's Nobel Prize (2022) in Physics for Entanglement and Quantum Information: the New Revolution in Quantum Mechanics and Science.Vasil Penchev - 2023 - Philosophy of Science eJournal (Elsevier: SSRN) 18 (33):1-68.
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Johan van Benthem on Logic and Information Dynamics.Alexandru Baltag & Sonja Smets (eds.) - 2014 - Cham, Switzerland: Springer International Publishing.
David Hilbert. David Hilbert's lectures on the foundations of geometry, 1891–1902. Michael Hallett and Ulrich Majer, eds. David Hilbert's Foundational Lectures; 1. Berlin: Springer-Verlag, 2004. ISBN 3-540-64373-7. Pp. xxviii + 661. [REVIEW]V. Pambuccian - 2013 - Philosophia Mathematica 21 (2):255-277.
References found in this work
The theory of space, time and gravitation.Vladimir Aleksandrovich Fok - 1959 - New York,: Macmillan.
Second-order logic and foundations of mathematics.Jouko Väänänen - 2001 - Bulletin of Symbolic Logic 7 (4):504-520.
The desirability of formalization in science.Patrick Suppes - 1968 - Journal of Philosophy 65 (20):651-664.
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