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  1. Francesca Biagioli: Space, Number, and Geometry from Helmholtz to Cassirer: Springer, Dordrecht, 2016, 239 pp, $109.99 (Hardcover), ISBN: 978-3-319-31777-9. [REVIEW]Lydia Patton - 2019 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 50 (2):311-315.
    Francesca Biagioli’s Space, Number, and Geometry from Helmholtz to Cassirer is a substantial and pathbreaking contribution to the energetic and growing field of researchers delving into the physics, physiology, psychology, and mathematics of the nineteenth and twentieth centuries. The book provides a bracing and painstakingly researched re-appreciation of the work of Hermann von Helmholtz and Ernst Cassirer, and of their place in the tradition, and is worth study for that alone. The contributions of the book go far beyond that, however. (...)
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  • Ernst Cassirer's transcendental account of mathematical reasoning.Francesca Biagioli - 2020 - Studies in History and Philosophy of Science Part A 79 (C):30-40.
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  • Hermann von Helmholtz.Lydia Patton - 2008 - Stanford Encyclopedia of Philosophy.
    Hermann von Helmholtz (1821-1894) participated in two of the most significant developments in physics and in the philosophy of science in the 19th century: the proof that Euclidean geometry does not describe the only possible visualizable and physical space, and the shift from physics based on actions between particles at a distance to the field theory. Helmholtz achieved a staggering number of scientific results, including the formulation of energy conservation, the vortex equations for fluid dynamics, the notion of free energy (...)
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  • Structuralism and Mathematical Practice in Felix Klein’s Work on Non-Euclidean Geometry†.Biagioli Francesca - 2020 - Philosophia Mathematica 28 (3):360-384.
    It is well known that Felix Klein took a decisive step in investigating the invariants of transformation groups. However, less attention has been given to Klein’s considerations on the epistemological implications of his work on geometry. This paper proposes an interpretation of Klein’s view as a form of mathematical structuralism, according to which the study of mathematical structures provides the basis for a better understanding of how mathematical research and practice develop.
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