{"product_id":"leibniz-on-the-foundations-of-the-differential-calculus-paperback","title":"Leibniz on the Foundations of the Differential Calculus - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eRichard T. W. Arthur\u003c\/b\u003e (Author), \u003cb\u003eDavid Rabouin\u003c\/b\u003e (Author)\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis monograph presents an interpretive essay on the foundations of Leibniz's 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.\u003c\/p\u003e \u003cp\u003eLeibniz 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.\u003c\/p\u003e \u003cp\u003eThe essay concludes with an analysis of Leibniz's 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.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eRichard T. W. Arthur \u003c\/strong\u003eis 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 Leibniz's calculus, unpublished writings on the infinite, translations of Leibniz's scientific articles, and the influence of Leibniz on Bertrand Russell.\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eDavid Rabouin\u003c\/strong\u003e is a Senior Research Fellow (DR2) at the French National Centre for Scientific Research (CNRS), in the research group SPHERE (UMR 7219, CNRS - Universit? Paris Cit?). 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, Universit? Paris Sorbonne, 2002) and mathematics (MSc, Universit? 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 \u003cem\u003eMathesis universalis. L'id?e de ? math?matique universelle ? d'Aristote ? Descarte\u003c\/em\u003es (Paris, PUF, 2009), Spinoza. Ethique locale (Paris, P.U.F., 2010), with Norma B. Goethe and Philip Beeley \u003cem\u003eG.W. Leibniz, Interrelations between Mathematics and Philosophy\u003c\/em\u003e (Dordrecht, Springer, 2015), with the \"Mathesis group\", \u003cem\u003eG. W. Leibniz. Mathesis universalis. Ecrits sur la math?matiques universelle\u003c\/em\u003e (Paris, Vrin, 2018) and \u003cem\u003eMath?matiques et Philosophie chez Leibniz. Au fil de l'analyse des notions et des v?rit?s\u003c\/em\u003e (Paris, Vrin, forthcoming).\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 287\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.64 x 9.61 x 6.69 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 06, 2025\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337133211897,"sku":"9783031772580","price":97.18,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/V89c1BzxU89783031772580.webp?v=1769675108","url":"https:\/\/bookscloud.io\/products\/leibniz-on-the-foundations-of-the-differential-calculus-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}