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76The Forgotten Tradition: How the Logical Empiricists Missed the Philosophical Significance of the Work of Riemann, Christoffel and RicciErkenntnis 78 (6): 1219-1257. 2013.This paper attempts to show how the logical empiricists’ interpretation of the relation between geometry and reality emerges from a “collision” of mathematical traditions. Considering Riemann’s work as the initiator of a 19th century geometrical tradition, whose main protagonists were Helmholtz and Poincaré, the logical empiricists neglected the fact that Riemann’s revolutionary insight flourished instead in a non-geometrical tradition dominated by the works of Christoffel and Ricci-Curbastro ro…Read more
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53Einstein’s “point-coincidence argument'” as a response to the “hole argument” is usually considered as an expression of “Leibniz equivalence,” a restatement of indiscernibility in the sense of Leibniz. Through a historical-critical analysis of Logical Empiricists' interpretation of General Relativity, the paper attempts to show that this labeling is misleading. Logical Empiricists tried explicitly to understand the point-coincidence argument as an indiscernibility argument of the Leibnizian kind…Read more
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Kants Grundsatz der âAntizipationen der Wahrnehmungâ und seine Bedeutung für die theoretische Philosophie des Marburger NeukantianismusâIn Marion Heinz & Christian Krijnen (eds.), Kant Im Neukantianismus: Fortschritt Oder Rã¼Ckschritt?, Kã¶nigshausen Und Neumann. 2007.
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48Urbild und Abbild. Leibniz, Kant und Hausdorff über das RaumproblemJournal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 41 (2): 283-313. 2010.The article attempts to reconsider the relationship between Leibniz’s and Kant’s philosophy of geometry on the one hand and the nineteenth century debate on the foundation of geometry on the other. The author argues that the examples used by Leibniz and Kant to explain the peculiarity of the geometrical way of thinking are actually special cases of what the Jewish-German mathematician Felix Hausdorff called “transformation principle”, the very same principle that thinkers such as Helmholtz or Po…Read more
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56Leibniz, Kant und der moderne SymmetriebegriffKant Studien 102 (4): 422-454. 2011.The paper analyses the significance of the modern concept of „symmetry“ for the understanding of the concept of „intuition“ in Kant's philosophy of geometry. A symmetry transformation or automorphism is a structure preserving mapping of the space into itself that leaves all relevant structure intact so that the result is always like the original, in all relevant respects. Hermann Weyl was the first to show that this idea can be drawn on Leibniz's definition of similarity: two figures are similar…Read more
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14Gradus realitatis – die intensive Größe bei Kant und im NeukantianismusIn Thomas Leinkauf & Thomas Kisser (eds.), Intensität Und Realität: Systematische Analysen Zur Problemgeschichte von Gradualität, Intensität Und Quantitativer Differenz in Ontologie Und Metaphysik, De Gruyter. pp. 141-170. 2016.
Turin, Piedmont, Italy
Areas of Specialization
1 more
Space and Time |
Special Relativity |
General Relativity |
Space and Time, Misc |
Logical Empiricism |
Neo-Kantianism |