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

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978-94-017-7869-5Springer Netherlands 2015

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G.W. Leibniz, Interrelations between Mathematics and Philosophy978-94-017-9664-4Series ISSN 1385-0180 Series E-ISSN 2215-0064

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MAIM

Comparability of Infinities and Infinite Multitude in Galileo and Leibnizomparisons among infinite . and allows judgments of cardinal equality among infinite ., based on one-one correspondences. The paper’s analysis also reveals how intimately related Leibniz’s definition of ‘infinite’ is to Galileo’s discussion, and illuminates key contrasts between their accounts.

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Grating

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Biotechnology Intelligence Unitch of the traditional conception of rigorous demonstration and the methodological disputes engendered by the advent of the Leibnizian .. I then examine Leibniz’s claim that infinitesimal magnitudes are fictions, and consider two strategies he employed in the attempt to show that such fictions are acceptable.

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Permanent

Networks in a Firm: Gabrielle’s Barber Shop ideas for his mathematical research. Finally, in the third section, we situate the central themes of the essays of the present volume within the new understanding of the interrelations between philosophy and mathematics in Leibniz’s thought briefly indicated in the opening section.