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Riemann’s Philosophy of Geometry and Kant’s Pure Intuition [PDF]
Organon FThe aim of this paper is twofold: first to explicate how Riemann’s philosophy of geometry is organized around the concept of manifold. Second, to argue that Riemann’s philosophy of geometry does not dismiss Kant’s spatial intuition.
Dinçer Çevik
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Experience and Universal Judgements: William Kingdon Clifford and Non-Euclidean Geometries
Revue LISA, 2009 La pensée de W. K. Clifford se distingue par un questionnement radical de la valeur de la connaissance humaine. Fondée sur une doctrine exclusivement empiriste, elle n’adhère cependant pas pleinement aux conceptions de l’expérience alors défendues par ...
Christophe Duvey
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Chasing Poincaré: Reflections on Interdisciplinary Research and Historiography
Philosophia Scientiæ, 2023 I will present two examples of influential (and incorrect) interpretations of Poincaré, pinpointing their errors and documenting some of their diffusion.
David J. Stump
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Lecciones epistemológicas de la historia de la geometría
Cuestiones de Filosofía, 2012 El recorrido histórico sobre la creación de las geometrías no euclidianas, es decisivo para juzgar los criterios que la epistemología ha planteado en el problema de la validez de los enunciados de las ciencias formales, así como con respecto al ...
Carlos Arturo Londoño Ramos, Blanca Inés Prada Márquez
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The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds [PDF]
Revista Brasileira de Ensino de FísicaIn this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of ...
José Maria Filardo Bassalo +2 more
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Non-perturbative decay of non-Abelian hair
Journal of High Energy Physics, 2017 We construct a solution of Heterotic supergravity which interpolates between two different AdS3 × S3 × T4 geometries corresponding to the near-horizon limits of two 5-dimensional black holes, only one of which has non-Abelian hair.
Pablo A. Cano, Tomás Ortín
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D-instantons in Type IIA string theory on Calabi-Yau threefolds
Journal of High Energy Physics, 2021 Type IIA string theory compactified on a Calabi-Yau threefold has a hypermultiplet moduli space whose metric is known to receive non-perturbative corrections from Euclidean D2-branes wrapped on 3-cycles.
Sergei Alexandrov +2 more
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