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  1. The unreasonable effectiveness of mathematics in the natural sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
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  • What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
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  • Invariances: The Structure of the Objective World.Robert Nozick - 2001 - Philosophy 80 (311):145-151.
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  • Reifying mathematics? Prediction and symmetry classification.Sorin Bangu - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):239-258.
    In this paper I reconstruct and critically examine the reasoning leading to the famous prediction of the ‘omega minus’ particle by M. Gell-Mann and Y. Ne’eman (in 1962) on the basis of a symmetry classification scheme. While the peculiarity of this prediction has occasionally been noticed in the literature, a detailed treatment of the methodological problems it poses has not been offered yet. By spelling out the characteristics of this type of prediction, I aim to underscore the challenges raised by (...)
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  • Two episodes in the unification of logic and topology.E. R. Grosholz - 1985 - British Journal for the Philosophy of Science 36 (2):147-157.
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  • A cause for concern: Standard abstracta and causation.Jody Azzouni - 2008 - Philosophia Mathematica 16 (3):397-401.
    Benjamin Callard has recently suggested that causation between Platonic objects—standardly understood as atemporal and non-spatial—and spatio-temporal objects is not ‘a priori’ unintelligible. He considers the reasons some have given for its purported unintelligibility: apparent impossibility of energy transference, absence of physical contact, etc. He suggests that these considerations fail to rule out a priori Platonic-object causation. However, he has overlooked one important issue. Platonic objects must causally affect different objects differently, and different Platonic objects must causally affect the same objects (...)
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  • Descartes' unification of algebra and geometry.Emily R. Grosholz - 1980 - In Stephen Gaukroger (ed.), Descartes: philosophy, mathematics and physics. Totowa, N.J.: Barnes & Noble. pp. 156--68.
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  • The partial unification of domains, hybrids, and the growth of mathematical knowledge.Emily R. Grosholz - 2000 - In Emily Grosholz & Herbert Breger (eds.), The growth of mathematical knowledge. Boston: Kluwer Academic Publishers. pp. 81--91.
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  • The Methodological Character of Symmetry Principles.Otávio Bueno - 2006 - Abstracta 3 (1):3-28.
    In this paper, I argue that symmetry principles in physics (in particular, in quantum mechanics) have a methodological character, rather than an ontological or an epistemological one. First, I provide a framework to address three related issues regarding the notion of symmetry: (i) how the notion can be characterized; (ii) one way of discussing the nature of symmetry principles, and (iii) a tentative account of some types of symmetry in physics. To illustrate how the framework functions, I then consider the (...)
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