Switch to: References

Add citations

You must login to add citations.
  1. Traditions in Collision: The Emergence of Logical Empiricism between the Riemannian and Helmholtzian Traditions.Giovanelli Marco - 2017 - Hopos: The Journal of the International Society for the History of Philosophy of Science 7 (2):328-380.
    This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general relativity (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Henri Poincaré et l’espace-temps conventionnel.Scott Walter - 2008 - Cahiers de Philosophie de L’Université de Caen 45:87-119.
    According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré’s Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, Poincaré extended (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Poincaré and Duhem: Resonances in their First Epistemological Reflections.Príncipe João - 2017 - Transversal: International Journal for the Historiography of Science 2:140.
    The object of this article is to show a certain proximity of Duhem to Poincaré in his first philosophical reflections. I study the relationships between the scientific practices of the two scholars, the contemporary theoretical context and their reflections. The first part of the article concerns the changes in epistemological consensus at the turn of the century. The second part will be devoted to Poincaré's reflections on the status of physical geometries and physical theories, as they appear in his texts (...)
    No categories
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Talking at cross-purposes: how Einstein and the logical empiricists never agreed on what they were disagreeing about.Marco Giovanelli - 2013 - Synthese 190 (17):3819-3863.
    By inserting the dialogue between Einstein, Schlick and Reichenbach into a wider network of debates about the epistemology of geometry, this paper shows that not only did Einstein and Logical Empiricists come to disagree about the role, principled or provisional, played by rods and clocks in General Relativity, but also that in their lifelong interchange, they never clearly identified the problem they were discussing. Einstein’s reflections on geometry can be understood only in the context of his ”measuring rod objection” against (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   14 citations  
  • Constitutive principles versus comprehensibility conditions in post-Kantian physics.Olivier Darrigol - 2020 - Synthese 197 (10):4571-4616.
    The relativistic revolution led to varieties of neo-Kantianism in which constitutive principles define the object of scientific knowledge in a domain-dependent and historically mutable manner. These principles are a priori insofar as they are necessary premises for the formulation of empirical laws in a given domain, but they lack the self-evidence of Kant’s a priori and they cannot be identified without prior knowledge of the theory they purport to frame. In contrast, the rationalist endeavors of a few masters of theoretical (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  • 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.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Collision of Traditions. The Emergence of Logical Empiricism Between the Riemannian and Helmholtzian Traditions.Marco Giovanelli - 2013 - .
    This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general relativity (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Talking at Cross-Purposes. How Einstein and Logical Empiricists never Agreed on what they were Discussing about.Marco Giovanelli - unknown
    By inserting the dialogue between Einstein, Schlick and Reichenbach in a wider network of debates about the epistemology of geometry, the paper shows, that not only Einstein and Logical Empiricists came to disagree about the role, principled or provisional, played by rods and clocks in General Relativity, but they actually, in their life-long interchange, never clearly identified the problem they were discussing. Einstein’s reflections on geometry can be understood only in the context of his “measuring rod objection” against Weyl. Logical (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation