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Vincent Ardourel
IHPST: Institut D'histoire Et de Philosophie Des Sciences Et Des Techniques
  1.  14
    On the Presumed Superiority of Analytical Solutions Over Numerical Methods.Vincent Ardourel & Julie Jebeile - 2017 - European Journal for Philosophy of Science 7 (2):201-220.
    An important task in mathematical sciences is to make quantitative predictions, which is often done via the solution of differential equations. In this paper, we investigate why, to perform this task, scientists sometimes choose to use numerical methods instead of analytical solutions. Via several examples, we argue that the choice for numerical methods can be explained by the fact that, while making quantitative predictions seems at first glance to be facilitated by analytical solutions, this is actually often much easier with (...)
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  2.  16
    Irreversibility in the Derivation of the Boltzmann Equation.Vincent Ardourel - 2017 - Foundations of Physics 47 (4):471-489.
    Uffink and Valente claim that there is no time-asymmetric ingredient that, added to the Hamiltonian equations of motion, allows to obtain the Boltzmann equation within the Lanford’s derivation. This paper is a discussion and a reply to that analysis. More specifically, I focus on two mathematical tools used in this derivation, viz. the Boltzmann–Grad limit and the incoming configurations. Although none of them are time-asymmetric ingredients, by themselves, I claim that the use of incoming configurations, as taken within the B–G (...)
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  3.  64
    A Discrete Solution for the Paradox of Achilles and the Tortoise.Vincent Ardourel - 2015 - Synthese 192 (9):2843-2861.
    In this paper, I present a discrete solution for the paradox of Achilles and the tortoise. I argue that Achilles overtakes the tortoise after a finite number of steps of Zeno’s argument if time is represented as discrete. I then answer two objections that could be made against this solution. First, I argue that the discrete solution is not an ad hoc solution. It is embedded in a discrete formulation of classical mechanics. Second, I show that the discrete solution cannot (...)
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  4.  29
    Why is the Transference Theory of Causation Insuffcient? The Challenge of the Aharonov-Bohm Effect.Vincent Ardourel & Alexandre Guay - 2018 - Studies in History and Philosophy of Modern Physics 63:12-23.
    The transference theory reduces causation to the transmission of physical conserved quantities, like energy or momenta. Although this theory aims at applying to all felds of physics, we claim that it fails to account for a quantum electrodynamic effect, viz. the Aharonov-Bohm effect. After having argued that the Aharonov-Bohm effect is a genuine counter-example for the transference theory, we offer a new physicalist approach of causation, ontic and modal, in which this effect is embedded.
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  5.  12
    The Infinite Limit as an Eliminable Approximation for Phase Transitions.Vincent Ardourel - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62:71-84.
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  6.  8
    La Physique Dans la Recherche En Mathématiques Constructives.Vincent Ardourel - 2012 - Philosophia Scientae 16:183-208.
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  7.  7
    La Physique Dans la Recherche En Mathématiques Constructives.Vincent Ardourel - 2012 - Philosophia Scientiae 16 (1):183-208.
    Je propose d’analyser une pratique de la recherche en mathématiques constructives, celle qui consiste à reformuler constructivement les théories physiques. Je discute plus précisément trois aspects de cette pratique. Je montre d’abord que celle-ci a la particularité d’être motivée par des considérations philosophiques et comment la physique est utilisée pour arbitrer un débat de philosophie des mathématiques entre constructivisme et classicisme. Ensuite, j’identifie la méthodologie de la recherche en mathématiques que cette pratique implique et montre qu’il s’agit, selon une terminologie (...)
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  8. Is Discretization a Change in Mathematical Idealization ?Vincent Ardourel - unknown
     
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  9.  20
    Inferential Power, Formalisms, and Scientific Models.Vincent Ardourel, Anouk Barberousse & Cyrille Imbert - unknown
    Scientific models need to be investigated if they are to provide valuable information about the systems they represent. Surprisingly, the epistemological question of what enables this investigation has hardly been investigated. Even authors who consider the inferential role of models as central, like Hughes or Bueno and Colyvan, content themselves with claiming that models contain mathematical resources that provide inferential power. We claim that these notions require further analysis and argue that mathematical formalisms contribute to this inferential role. We characterize (...)
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  10.  19
    La structure du temps est-elle indécidable? Sous-détermination et structure du temps chez Newton-Smith.Vincent Ardourel - 2014 - Dialogue 53 (4):623-649.
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  11. Strong Underdetermination of Theories by Data: The Case of Different Mathematical Formulations of a Scientific Theory.Vincent Ardourel - unknown
  12.  8
    The Students’ Guide to the Epistemology of Science: Kevin McCain: The Nature of Scientific Knowledge: An Explanatory Approach. Springer Undergraduate Texts in Philosophy, Springer, 2016, 290 Pp.Vincent Ardourel - 2017 - Metascience 26 (2):341-343.
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  13.  13
    Verification and Validation of Simulations Against Holism.Julie Jebeile & Vincent Ardourel - 2019 - Minds and Machines 29 (1):149-168.
    It has been argued that the Duhem problem is renewed with computational models since model assumptions having a representational aim and computational assumptions cannot be tested in isolation. In particular, while the Verification and Validation methodology is supposed to prevent such holism, Winsberg argues that verification and validation cannot be separated in practice. Morrison replies that Winsberg overstates the entanglement between the steps. The paper aims at arbitrating these two positions, by stressing their respective validity in relation to domains of (...)
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