15 found
Order:
See also
  1. Geometry and Monadology: Leibniz’s Analysis Situs and Philosophy of Space.Vincenzo De Risi - 2007 - Birkhäuser.
    This book reconstructs, both from the historical and theoretical points of view, Leibniz's geometrical studies, focusing in particular on the research Leibniz ...
    Direct download  
     
    Export citation  
     
    Bookmark   21 citations  
  2.  2
    The Development of Euclidean Axiomatics: The Systems of Principles and the Foundations of Mathematics in Editions of the Elements in the Early Modern Age.Vincenzo De Risi - 2016 - Archive for History of Exact Sciences 70 (6):591-676.
    The paper lists several editions of Euclid’s Elements in the Early Modern Age, giving for each of them the axioms and postulates employed to ground elementary mathematics.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   4 citations  
  3.  5
    Euclid’s Common Notions and the Theory of Equivalence.Vincenzo De Risi - 2021 - Foundations of Science 26 (2):301-324.
    The “common notions” prefacing the Elements of Euclid are a very peculiar set of axioms, and their authenticity, as well as their actual role in the demonstrations, have been object of debate. In the first part of this essay, I offer a survey of the evidence for the authenticity of the common notions, and conclude that only three of them are likely to have been in place at the times of Euclid, whereas others were added in Late Antiquity. In the (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  4.  1
    Gapless Lines and Gapless Proofs: Intersections and Continuity in Euclid’s Elements.Vincenzo De Risi - 2021 - Apeiron 54 (2):233-259.
    In this paper, I attempt a reconstruction of the theory of intersections in the geometry of Euclid. It has been well known, at least since the time of Pasch onward, that in the Elements there are no explicit principles governing the existence of the points of intersections between lines, so that in several propositions of Euclid the simple crossing of two lines is regarded as the actual meeting of such lines, it being simply assumed that the point of their intersection (...)
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  5.  70
    Leibniz on Geometry: Two Unpublished Texts with Translation and Commentary.Vincenzo De Risi - 2005 - The Leibniz Review 15:127-132.
    Leibniz pursued the study of his new geometry, the analysis situs, throughout his lifetime. The following essays, the Ars Representatoria and the text Uniformis locus…, both go back to the early nineties of the seventeenth century. Although most of the analysis situs texts are still unpublished—which makes it very hard to see how this discipline might have evolved during the years—there seems to be no doubt that the beginning of 1690s marked a breakthrough in Leibniz’s studies.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  6.  35
    Leibniz Around 1700: Three Texts on Metaphysics.Vincenzo De Risi - 2006 - The Leibniz Review:55-69.
  7.  8
    Leibniz on Geometry: Two Unpublished Texts with Translation and Commentary.Vincenzo De Risi - 2005 - The Leibniz Review 15:127-132.
    Leibniz pursued the study of his new geometry, the analysis situs, throughout his lifetime. The following essays, the Ars Representatoria and the text Uniformis locus…, both go back to the early nineties of the seventeenth century. Although most of the analysis situs texts are still unpublished—which makes it very hard to see how this discipline might have evolved during the years—there seems to be no doubt that the beginning of 1690s marked a breakthrough in Leibniz’s studies.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  8.  53
    Leibniz Around 1700.Vincenzo De Risi - 2006 - The Leibniz Review 16:55-69.
  9.  5
    Leibniz Around 1700: Three Texts on Metaphysics.Vincenzo De Risi - 2006 - The Leibniz Review 16:55-69.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  10. Leibniz and the Structure of Sciences: Modern Perspectives on the History of Logic, Mathematics, Epistemology.Vincenzo De Risi (ed.) - 2019 - Springer.
  11.  7
    La dimostrazione kantiana del Quinto Postulato di Euclide.Vincenzo De Risi - 2013 - In Margit Ruffing, Claudio La Rocca, Alfredo Ferrarin & Stefano Bacin (eds.), Kant Und Die Philosophie in Weltbürgerlicher Absicht: Akten des Xi. Kant-Kongresses 2010. De Gruyter. pp. 31-42.
    No categories
    Direct download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  12. Leibniz on the Parallel Postulate and the Foundations of Geometry: The Unpublished Manuscripts.Vincenzo De Risi - 2016 - New York/London: Birkhäuser.
  13. Mathematizing Space: The Objects of Geometry From Antiquity to the Early Modern Age.Vincenzo De Risi (ed.) - 2015 - Birkhäuser.
    This book brings together papers of the conference on 'Space, Geometry and the Imagination from Antiquity to the Modern Age' held in Berlin, Germany, 27-29 August 2012. Focusing on the interconnections between the history of geometry and the philosophy of space in the pre-Modern and Early Modern Age, the essays in this volume are particularly directed toward elucidating the complex epistemological revolution that transformed the classical geometry of figures into the modern geometry of space. Contributors: Graciela De Pierris Franco Farinelli (...)
     
    Export citation  
     
    Bookmark  
  14.  17
    The Oxford Handbook of Generality in Mathematics and the Sciences, Edited by Karine Chemla, Renaud Chorlay and David Rabouin, 2016.Vincenzo De Risi - 2017 - Early Science and Medicine 22 (4):399-403.
  15.  3
    Leibniz and the Structure of Sciences: Modern Perspectives on the History of Logic, Mathematics, Epistemology.Vincenzo De Risi (ed.) - 2019 - Springer.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark