Titlebook: Leibniz and the Structure of Sciences; Modern Perspectives Vincenzo De Risi Book 2019 Springer Nature Switzerland AG 2019 Leibniz’s Mereol

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,Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite,onstitute a conclusive proof that there are more reals than natural numbers, since it depends on the premise that the real numbers form a totality, a collection such that none are left out; and this is established by the Power Set Axiom only on the hypothesis that the natural numbers form such a tot

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Leibniz on the Continuity of Space, found in several unpublished writings preserved in Hannover. The subject widens as to encompass the relation between mereology and ., Leibniz’s studies on a geometrical characteristics, and Leibniz’s theory of space at large.

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On the Plurality of Spaces in Leibniz,scription, as in other passages, it seems that we can imagine without contradiction a world with a geometrical structure different from ours. This stance was supported, as we will see, by influential scholars who concluded, without much trouble, that a plurality of spaces was conceivable for Leibniz

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Leibniz and the Calculus of Variations,mechanical and optical problems emerged, and this naturally leads to Leibniz’ considerations on the physical concept of action and extremal principles. In contrast to later formulations of such a principle by Maupertuis and Euler, Leibniz devoted much effort to deriving more abstract principles base

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Book 2019ok is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.

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