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  1. Mathematical Rigor in Physics: Putting Exact Results in Their Place.Axel Gelfert - 2005 - Philosophy of Science 72 (5):723-738.
    The present paper examines the role of exact results in the theory of many‐body physics, and specifically the example of the Mermin‐Wagner theorem, a rigorous result concerning the absence of phase transitions in low‐dimensional systems. While the theorem has been shown to hold for a wide range of many‐body models, it is frequently ‘violated’ by results derived from the same models using numerical techniques. This raises the question of how scientists regulate their theoretical commitments in such cases, given that the (...)
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  2. Modeling High-Temperature Superconductors: Correspondence at Bay?Stephan Hartmann - 2008 - In Lena Soler (ed.), Rethinking Scientific Change. Stabilities, Ruptures, Incommensurabilities? Springer. pp. 107--128.
    How does a predecessor theory relate to its successor? According to Heinz Post’s General Correspondence Principle, the successor theory has to account for the em- pirical success of its predecessor. After a critical discussion of this principle, I outline and discuss various kinds of correspondence relations that hold between successive scientific theories. I then look in some detail at a case study from contemporary physics: the various proposals for a theory of high-temperature superconductivity. The aim of this case study is (...)
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  3. Hysteresis Model of Unconscious-Conscious Interconnection: Exploring Dynamics on M-Adic Trees.Giuseppe Iurato & Andrei Khrennikov - 2015 - P-Adic Numbers, Ultrametric Analysis, and Applications 7 (4):312-321.
    In this brief note, we focus attention on a possible implementation of a basic hysteretic pattern (the Preisach one), suitably generalized, into a formal model of unconscious-conscious interconnection and based on representation of mental entities by m-adic numbers.
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  4. Phenomenologism Vs Fundamentalism: The Case of Superconductivity.Towfic Shomar - 2008 - CURRENT SCIENCE, 94 (10):1256-1264.
    This article argues that phenomenological treatment of physical problems is more powerful than fundamental treatment. Developments in the field of superconductivity present us with a clear example of such superiority. The BCS (Bardeen, Cooper and Schrieffer) was accepted as the fundamental theory of superconductivity for a long time. Nevertheless, Landau and Ginzburg phenomenological model has so far proven to be a more fruitful theoretical representation to understand and to predict the features of superconductivity and superconductive materials.
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