Titlebook: G.W. Leibniz, Interrelations between Mathematics and Philosophy; Norma B. Goethe,Philip Beeley,David Rabouin Book 2015 Springer Netherland

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Leibniz, Philosopher Mathematician and Mathematical Philosopherccess of the mathematical sciences in harnessing and explaining the natural world. Part of the motivation for this concern was his recognition that disciplines such as optics, pneumatics, and mechanics contributed substantially to the improvement of the human condition, this being on his view the ul

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The Difficulty of Being Simple: On Some Interactions Between Mathematics and Philosophy in Leibniz’s that a certain model of logical analysis played in it. In a first section, I will briefly recall the central role ascribed very early by Leibniz to analysis of notions (.) and to the constitution of an “alphabet of human thoughts”, from which all true knowledge was to be recovered by some form of “

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Leibniz’s Mathematical and Philosophical Analysis of Timeit their determinate inter-relations so clearly. However, he also believed that the proper use of mathematics requires careful philosophical reflection. Leibniz recognized that while different sciences require different methodologies, no matter what special features different domains exhibit, all sc

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Leibniz as Reader and Second Inventor: The Cases of Barrow and Mengoliicipated by other mathematicians such as Pierre de Fermat, James Gregory, Isaac Newton, François Regnauld, John Wallis, etc. This paper investigates the cases of Isaac Barrow (Part I) and Pietro Mengoli (Part II) who, earlier than Leibniz, had been familiar with the characteristic triangle, transmut

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Comparability of Infinities and Infinite Multitude in Galileo and Leibniznd related points in Leibniz’s philosophy. Galileo’s celebrated denial that ‘greater’, ‘less’, and ‘equal’ apply in the infinite threatens two important mathematical principles: Euclid’s Axiom and the Bijection Principle of Cardinal Equality. I consider two potential strategies open to Galileo for p

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Leibniz on The Elimination of Infinitesimalss doctrine that infinitesimals are “fictions,” albeit fictions so well-founded that their use will never lead to error. I begin with a very brief sketch of the traditional conception of rigorous demonstration and the methodological disputes engendered by the advent of the Leibnizian .. I then examin

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Networks in a Firm: Gabrielle’s Barber Shop and philosophy in Leibniz’s thought were often made within the framework of grand reconstructions guided by intellectual trends such as the search for “the ideal of system”. In the second section, we proceed to recount Leibniz’s first encounter with contemporary mathematics during his four years of