Publications
Book
ARDOUREL, Vincent (2018). Du calcul sur ordinateur à la mécanique discrète, Paris : Vrin, collection Mathesis.
Abstract: Can continuum be replaced by discrete in the equations of physics? This question raises with the development, since the 1970's, of discrete formulations of classical mechanics. This book investigates the philosophical issues of these novel approaches. It shows the role of numerical computations in this new mathematization of physics, examines the consequences of a discrete representation of time, and discusses the nature of physical theories.
Vrin - Mathesis - 240 pages - ISBN 978-2-7116-2817-9
Articles
Ardourel Vincent et Quentin Rodriguez (forthcoming), "Des usages pluriels d'un modèle en physique : Le cas du modèle d'Ising", Cahiers philosophiques, Vrin. HAL
Ardourel Vincent and Sorin Bangu (2023), "Finite-Size Scaling Theory: Quantitative and Qualitative Approaches to Critical Phenomena", Studies in History and Philosophy of Science, 100: 99-106. read on line, PhilSci, HAL
Cyrille Imbert and Vincent Ardourel (2023), "Formal verification, scientific code, and the epistemological heterogeneity of computational science", Philosophy of Science, 90, 376-394. open access, PhilSci, HAL
Ardourel, Vincent (2022), "Brownian motion from a deterministic system of particles", Synthese, 200 (1), 29: 1-15. read on line,
Ardourel, Vincent and Jebeile, Julie (2021), "Numerical instability and dynamical systems", European Journal for Philosophy of Science, 11, 49. https://doi.org/10.1007/s13194-021-00372-7
preprint: PhilSci, HAL, read online
Jebeile, Julie and Ardourel, Vincent (2019), "Verification and Validation of Simulations against Holism", Minds & Machines, 29: 149–168.
Ardourel, Vincent & Guay, Alexandre (2018). "Why is the transference theory of causation insufficient? The challenge of the Aharonov-Bohm effect", Studies in History and Philosophy of Modern Physics, 63: 12-23.
Ardourel, Vincent (2018). "The infinite limit as an eliminable approximation for phase transitions", Studies in History and Philosophy of Modern Physics, 62, p. 71-84.
Ardourel, Vincent (2017). "Irreversibility in the derivation of the Boltzmann equation". Foundations of Physics, Springer, 47(4), 471-489.
Ardourel, Vincent and Jebeile, Julie (2017). "On the presumed superiority of analytical solutions over numerical methods". European Journal for Philosophy of Science. Springer, 7 (2) : pp. 201-220.
Ardourel, Vincent (2015). "A Discrete Solution for the Paradox of Achilles and the Tortoise". Synthese, 192 (9): 2843-2861.
Ardourel, Vincent (2014). "La structure du temps est-elle indécidable ? Sous-détermination et structure du temps chez Newton-Smith". Dialogue, Cambridge University Press, vol. 53 (4), p. 623-649.
Ardourel, Vincent (2012). "La physique dans la recherche en mathématiques constructives", Philosophia Scientiae, Kimé, vol. 16 (1), p. 183-208.
Book chapter
Ardourel, Vincent & Barberousse Anouk (2018). "La Représentation du temps en mécanique discrète", in Temps de la nature, nature du temps. Bouton, C. & Huneman, P. (Eds.), Paris : CNRS Editions, 209-235.
Ardourel, Vincent & Barberousse Anouk (2017). "The Representation of Time in Discrete Mechanics". In Time of Nature, Nature of Time. Philosophical Perspectives of Time in Natural Sciences. Boston Studies in the Philosophy and History of Science, Bouton C. & Huneman P. (Eds.), Dordrecht: Springer, vol. 326, p. 173-208
Book review
Ardourel, Vincent (2019). "Dieu est-il mathématicien?" de Mario Livio, La Gazette des mathématiciens, Société Mathématique de France, octobre, vol. 162, 74-76.
Ardourel, Vincent (2017). "The students’ guide to the epistemology of science". Metascience, 26(2): 341-343.
Ardourel, Vincent (2016). "La valeur inductive de la relativité", Gaston Bachelard, Paris: Vrin, 2e édition, in Les Etudes Philosophiques, Presses Universitaires de France, Vol. 1: 147-148.