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A01=David Rabouin
A01=Richard T. W. Arthur
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Age Group_Uncategorized
Author_David Rabouin
Author_Richard T. W. Arthur
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Category1=Non-Fiction
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Category=PDX
COP=Switzerland
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Leibniz on the Foundations of the Differential Calculus

English

By (author): David Rabouin Richard T. W. Arthur

This monograph presents an interpretive essay on the foundations of Leibnizs calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus.

Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s.

The essay concludes with an analysis of Leibnizs defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.

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Current price €59.84
Original price €62.99
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A01=David RabouinA01=Richard T. W. ArthurAge Group_UncategorizedAuthor_David RabouinAuthor_Richard T. W. Arthurautomatic-updateCategory1=Non-FictionCategory=PBBCategory=PBXCategory=PDXCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€50 to €100PS=Forthcomingsoftlaunch

Will deliver when available. Publication date 08 Feb 2025

Product Details
  • Dimensions: 168 x 240mm
  • Publication Date: 08 Feb 2025
  • Publisher: Birkhauser Verlag AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031772580

About David RabouinRichard T. W. Arthur

Richard T. W. Arthur is Professor Emeritus at McMaster University living in Toronto. Specializing in early modern natural philosophy mathematics and the foundations of physics he focuses on time and the infinite. He holds degrees in physics (BA Oxford 1972) and philosophy (MA McGill 1976; PhD Western Ontario 1981). Arthur has taught applied mathematics and philosophy in Canada Nigeria the United States and Italy. He has authored seven books and over 60 articles and chapters primarily on seventeenth-century philosophy including works on Leibniz Newton and Descartes. His notable books include Leibniz (Polity Press 2014) and Leibniz on Time Space and Relativity (Oxford University Press 2021). In philosophy of physics he published The Reality of Time Flow (Springer 2019). Currently he is finishing four co-authored books including studies on Leibnizs calculus unpublished writings on the infinite translations of Leibnizs scientific articles and the influence of Leibniz on Bertrand Russell. David Rabouin is a Senior Research Fellow (DR2) at the French National Centre for Scientific Research (CNRS) in the research group SPHERE (UMR 7219 CNRS Université Paris Cité). His interest is in the history of philosophy and mathematics in the early modern period with special focus on Descartes Spinoza and Leibniz. He holds degrees in philosophy (PhD Université Paris Sorbonne 2002) and mathematics (MSc Université Paris Diderot 2014). He is currently the head of the ERC advanced grant PHILIUMM (Adg n°101020985): The Philosophy of Leibniz in Light of His Unpublished Mathematical Manuscripts. He is the author of more than 100 articles and several books including Mathesis universalis. Lidée de « mathématique universelle » dAristote à Descartes (Paris PUF 2009) Spinoza. Ethique locale (Paris P.U.F. 2010) with Norma B. Goethe and Philip Beeley G.W. Leibniz Interrelations between Mathematics and Philosophy (Dordrecht Springer 2015) with the Mathesis group G. W. Leibniz. Mathesis universalis. Ecrits sur la mathématiques universelle (Paris Vrin 2018) and Mathématiques et Philosophie chez Leibniz. Au fil de l'analyse des notions et des vérités (Paris Vrin forthcoming).

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