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

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發(fā)表于 2025-3-21 18:11:27 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱G.W. Leibniz, Interrelations between Mathematics and Philosophy
編輯Norma B. Goethe,Philip Beeley,David Rabouin
視頻videohttp://file.papertrans.cn/381/380028/380028.mp4
概述First 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between mathematics and philosophy in Leibniz.Making use of the complete resources of the Leibniz‘s published and unpublished writings.Cover
叢書名稱Archimedes
圖書封面Titlebook: G.W. Leibniz, Interrelations between Mathematics and Philosophy;  Norma B. Goethe,Philip Beeley,David Rabouin Book 2015 Springer Netherland
描述.Up to now there have been scarcely any publications on Leibniz dedicated to investigating the interrelations between philosophy and mathematics in his thought. In part this is due to the previously restricted textual basis of editions such as those produced by Gerhardt. Through recent volumes of the scientific letters and mathematical papers series of the Academy Edition scholars have obtained a much richer textual basis on which to conduct their studies - material which allows readers to see interconnections between his philosophical and mathematical ideas which have not previously been manifested. The present book draws extensively from this recently published material. The contributors are among the best in their fields. Their commissioned papers cover thematically salient aspects of the various ways in which philosophy and mathematics informed each other in Leibniz‘s thought..
出版日期Book 2015
關(guān)鍵詞Alphabet of Thoughts; Analysis of Notions; Exhaustion Proof; Fictional Whole; Infinite Multitude; Infinit
版次1
doihttps://doi.org/10.1007/978-94-017-9664-4
isbn_softcover978-94-017-7869-5
isbn_ebook978-94-017-9664-4Series ISSN 1385-0180 Series E-ISSN 2215-0064
issn_series 1385-0180
copyrightSpringer Netherlands 2015
The information of publication is updating

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發(fā)表于 2025-3-21 22:09:03 | 只看該作者
Leibniz, Philosopher Mathematician and Mathematical Philosopherccess 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
板凳
發(fā)表于 2025-3-22 02:27:53 | 只看該作者
The Difficulty of Being Simple: On Some Interactions Between Mathematics and Philosophy in Leibniz’s that a certain model of logical analysis played in it. In a first section, I will briefly recall the central role ascribed very early by Leibniz to analysis of notions (.) and to the constitution of an “alphabet of human thoughts”, from which all true knowledge was to be recovered by some form of “
地板
發(fā)表于 2025-3-22 06:35:20 | 只看該作者
Leibniz’s Mathematical and Philosophical Analysis of Timeit 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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發(fā)表于 2025-3-22 16:13:42 | 只看該作者
Leibniz as Reader and Second Inventor: The Cases of Barrow and Mengoliicipated by other mathematicians such as Pierre de Fermat, James Gregory, Isaac Newton, Fran?ois 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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發(fā)表于 2025-3-22 19:58:38 | 只看該作者
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發(fā)表于 2025-3-23 00:54:49 | 只看該作者
Comparability of Infinities and Infinite Multitude in Galileo and Leibniznd 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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發(fā)表于 2025-3-23 02:23:29 | 只看該作者
Leibniz on The Elimination of Infinitesimalss 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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發(fā)表于 2025-3-23 07:04:05 | 只看該作者
Networks in a Firm: Gabrielle’s Barber Shop and philosophy in Leibniz’s thought were often made within the framework of grand reconstructions guided by intellectual trends such as the search for “the ideal of system”. In the second section, we proceed to recount Leibniz’s first encounter with contemporary mathematics during his four years of
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