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  1. Representation-supporting model elements.Sim-Hui Tee - 2020 - Biology and Philosophy 35 (1):1-24.
    It is assumed that scientific models contain no superfluous model elements in scientific representation. A representational model is constructed with all the model elements serving the representational purpose. The received view has it that there are no redundant model elements which are non-representational. Contrary to this received view, I argue that there exist some non-representational model elements which are essential in scientific representation. I call them representation-supporting model elements in virtue of the fact that they play the role to support (...)
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  • On the Tension Between Physics and Mathematics.Miklós Rédei - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (3):411-425.
    Because of the complex interdependence of physics and mathematics their relation is not free of tensions. The paper looks at how the tension has been perceived and articulated by some physicists, mathematicians and mathematical physicists. Some sources of the tension are identified and it is claimed that the tension is both natural and fruitful for both physics and mathematics. An attempt is made to explain why mathematical precision is typically not welcome in physics.
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  • The Unreasonable Effectiveness of Mathematics: From Hamming to Wigner and Back Again.Arezoo Islami - 2022 - Foundations of Physics 52 (4):1-18.
    In a paper titled, “The Unreasonable Effectiveness of Mathematics”, published 20 years after Wigner’s seminal paper, the mathematician Richard W. Hamming discussed what he took to be Wigner’s problem of Unreasonable Effectiveness and offered some partial explanations for this phenomenon. Whether Hamming succeeds in his explanations as answers to Wigner’s puzzle is addressed by other scholars in recent years I, on the other hand, raise a more fundamental question: does Hamming succeed in raising the same question as Wigner? The answer (...)
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  • Mathematics as hammer: the makings of the masters tool: Johannes Lehnard and Martin Carrier : Mathematics as a tool: tracing new roles of mathematics in the sciences. Dordrecht: Springer, 2017. X+286pp, €114.99HB.Arezoo Islami - 2018 - Metascience 27 (1):95-98.
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  • Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Cătălin Bărboianu - 2020 - Axiomathes 30 (4):423-452.
    Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing to one or two ‘why’ or ‘how’ (...)
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  • The Match of ‘Ideals’: The Historical Necessity of the Interconnection between Mathematics and Physical Sciences.Siyaves Azeri - 2020 - Social Epistemology 35 (1):20-36.
    The problem of ‘applicability’ of mathematics to modern physical sciences has been labeled as an ‘unreasonably effective’ and unexplainable ‘miracle’ by prominent physicists such as Eugene Wigner a...
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