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Geometric Facts and Geometric Theory: Helmholtz and 20th-century Philosophy of Physical Geometry1

In Lorenz Krüger (ed.), Universalgenie Helmholtz. Rückblick nach 100 Jahren. Akademie Verlag. pp. 276-292 (1994)

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  1. A Helmholtzian Approach To Space And Time.Olivier Darrigol - 2007 - Studies in History and Philosophy of Science Part A 38 (3):528-542.
    A slight modification of Helmholtz’s metrical approach to the foundations of geometry leads to the locally Euclidian character of space without restriction of the curvature. A bolder generalization involving time measurement leads to the locally Minkowskian character of spacetime. Some philosophical consequences of these results are drawn.Keywords: Hermann Helmholtz; Space; Time; Spacetime.
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  • Inquiring into Space-Time, the Human Mind, and Religion: The Life and Work of Adolf Grünbaum.Martin Carrier & Gereon Wolters - 2019 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 50 (4):409-427.
    Grünbaum's three chief fields of research were space-time philosophy, the methodological credentials of psychoanalysis, and reasons given in favor of the existence of God. Grünbaum defended the so-called conventionality thesis of physical geometry. He partially followed Hans Reichenbach in this respect but developed a new ontological argument for the conventionality claim in addition. In addressing the physical basis of the direction of time, Grünbaum advocated that there is a physical basis for the distinction between the past and the future, but (...)
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  • Perception and Coincidence in Helmholtz’s Theory of Measurement.Matthias Neuber - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The present paper is concerned with Helmholtz’s theory of measurement. It will be argued that an adequate understanding of this theory depends on how Helmholtz’s application of the concepts of perception and coincidence is interpreted. In contrast both to conventionalist and Kantian readings of Helmholtz’s theory, a more realistic interpretation will be suggested.
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  • The epistemology of spacetime.Neil Dewar, Niels Linnemann & James Read - 2022 - Philosophy Compass 17 (4):e12821.
    Philosophy Compass, Volume 17, Issue 4, April 2022.
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  • Teaching and learning guide for: The epistemology of spacetime.Neil Dewar, Niels Linnemann & James Read - 2022 - Philosophy Compass 17 (10):e12875.
    Philosophy Compass, Volume 17, Issue 10, October 2022.
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  • From Mirror to Mirage: The Idea of Logical Space in Kant, Wittgenstein, and van Fraassen.Lucien R. Lamoureux - unknown
    This dissertation investigates the origin, intellectual development and use of a semantic variant of the idea of logical space found implicitly in Kant and explicitly in early Wittgenstein and van Fraassen. It elucidates the idea of logical space as the idea of images or pictures representative of reality organized into a logico-mathematical structure circumscribing a form of all possible worlds. Its main claim is that application of these images or pictures to reality is through a certain conception of self. The (...)
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