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  1. Chasing Poincaré: Reflections on Interdisciplinary Research and Historiography.David J. Stump - 2023 - Philosophia Scientiae 27 (2):177-194.
    I will present two examples of influential (and incorrect) interpretations of Poincaré, pinpointing their errors and documenting some of their diffusion. The first example, which appears to have been initiated by Moritz Schlick, is the widespread misinterpretation of Poincaré’s argument for geometric conventionalism by basing it on the underdetermination of theories in science. The second example, having to do with Poincaré’s claim that Euclidean and non-Euclidean geometries are inter-translatable, stems from Louis Rougier and was spread in the English language literature (...)
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  • From geometry to phenomenology.Mirja Helena Hartimo - 2008 - Synthese 162 (2):225-233.
    Richard Tieszen [Tieszen, R. (2005). Philosophy and Phenomenological Research, LXX(1), 153–173.] has argued that the group-theoretical approach to modern geometry can be seen as a realization of Edmund Husserl’s view of eidetic intuition. In support of Tieszen’s claim, the present article discusses Husserl’s approach to geometry in 1886–1902. Husserl’s first detailed discussion of the concept of group and invariants under transformations takes place in his notes on Hilbert’s Memoir Ueber die Grundlagen der Geometrie that Hilbert wrote during the winter 1901–1902. (...)
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  • Geometrical and physical conventionalism of Henri poincar'e in epistemological formulation.Jerzy Giedymin - 1991 - Studies in the History and Philsophy of Science 22 (1):1-22.
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  • Geometrical and physical conventionalism of Henri Poincaré in epistemological formulation.Jerzy Giedymin - 1991 - Studies in History and Philosophy of Science Part A 22 (1):1-22.
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  • Traditional logic and the early history of sets, 1854-1908.José Ferreirós - 1996 - Archive for History of Exact Sciences 50 (1):5-71.
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  • Answers in search of a question: ‘proofs’ of the tri-dimensionality of space.Craig Callender - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):113-136.
    From Kant’s first published work to recent articles in the physics literature, philosophers and physicists have long sought an answer to the question, why does space have three dimensions. In this paper, I will flesh out Kant’s claim with a brief detour through Gauss’ law. I then describe Büchel’s version of the common argument that stable orbits are possible only if space is three-dimensional. After examining objections by Russell and van Fraassen, I develop three original criticisms of my own. These (...)
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  • Geometric possibility- an argument from dimension.Carolyn Brighouse - 2014 - European Journal for Philosophy of Science 4 (1):31-54.
    One cannot expect an exact answer to the question “What are the possible structures of space?”, but rough answers to it impact central debates within philosophy of space and time. Recently Gordon Belot has suggested that a rough answer takes the class of metric spaces to represent the possible structures of space. This answer has intuitive appeal, but I argue, focusing on topological characterizations of dimension, examples of prima facie space-like mathematical spaces that have pathological dimension properties, and endorsing a (...)
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