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

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https://doi.org/10.1007/978-3-642-73440-3ccess 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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Gesprächstechnik der neuen Generationit 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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https://doi.org/10.1007/978-1-4302-6326-5gures. These two notions played an essential role in his mathematics and in his understanding of what he called ‛geometricity’. My paper is divided into four sections. The first section investigates the meaning of analysis and ‛analyzability‛, as well as their relation to ‛geometricity’ and shows th

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Ein subjektives Museum von 1984icipated 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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https://doi.org/10.1007/978-3-319-96707-3ubjects with those of Georg Cantor, I outline Leibniz’s doctrine of the fictionality of infinite wholes and numbers by reference to his 1674 quadrature of the hyperbola, and defend its consistency against criticisms. In the third section I show how this same conception of the infinite informs Leibni

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R. Carlsson,T. Johansson,L. Kahlmannd 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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Biotechnology Intelligence Units 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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Norma B. Goethe,Philip Beeley,David RabouinFirst dedicated collection of studies on the interrelations between mathematics and philosophy in Leibniz.Making use of the complete resources of the Leibniz‘s published and unpublished writings.Cover