Introduction Ralf Krömer and Yannick Chin-Drian -- The idea of number from Gauss to Cantor. The Leibnizian heritage and its surpassing Philippe Séguin -- The Reception of Leibniz’s Logic in 19th Century German Philosophy Volker Peckhaus -- Leibniz’s Metaphysics as an Epistemological Obstacle to the Mathematization of Nature: the View of a Late 19th Century Neo-Kantian, Kurd Lasswitz Françoise Willmann -- Peano and his School between Leibniz and Couturat: the influence in mathematics and in international language Erika Luciano -- Couturat’s reception of Leibniz Anne-Françoise Schmid -- Russell and Leibniz on the classification of propositions Nicholas Griffin -- Cassirer, Reader, Publisher, and Interpreter of Leibniz’s Philosophy Jean Seidengart -- Leibniz on Relativity. The Debate between Hans Reichenbach and Dietrich Mahnke on Leibniz’s Theory of Motion and Time Vincenzo De Risi -- Interpretations of Leibniz’s Mathesis universalis at the beginning of the XXth Century David Rabouin -- Leibnizian traces in H.Weyl’s Philosophie der Mathematik und Naturwissenschaft Erhard Scholz -- Gödel, Leibniz and “Russell’s mathematical logic” Gabriella Crocco -- Chaitin, Leibniz and complexity Herbert Breger -- Abbreviations. Index.

This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.