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  1. La Physique Dans la Recherche En Mathématiques Constructives.Vincent Ardourel - 2012 - Philosophia Scientae 16:183-208.
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  • The Paradox of Phase Transitions in the Light of Constructive Mathematics.Pauline van Wierst - 2019 - Synthese 196 (5):1863-1884.
    The paradox of phase transitions raises the problem of how to reconcile the fact that we see phase transitions happen in concrete, finite systems around us, with the fact that our best theories—i.e. statistical-mechanical theories of phase transitions—tell us that phase transitions occur only in infinite systems. In this paper we aim to clarify to which extent this paradox is relative to the mathematical framework which is used in these theories, i.e. classical mathematics. To this aim, we will explore the (...)
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