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標(biāo)題: Titlebook: G.W. Leibniz, Interrelations between Mathematics and Philosophy; Norma B. Goethe,Philip Beeley,David Rabouin Book 2015 Springer Netherland [打印本頁]

作者: 變成小松鼠    時(shí)間: 2025-3-21 18:11
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作者: Neuropeptides    時(shí)間: 2025-3-21 22:09
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
作者: 泥沼    時(shí)間: 2025-3-22 02:27
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 “
作者: 鉗子    時(shí)間: 2025-3-22 06:35
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
作者: Missile    時(shí)間: 2025-3-22 10:11

作者: 刪減    時(shí)間: 2025-3-22 16:13
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
作者: 刪減    時(shí)間: 2025-3-22 19:58

作者: Mri485    時(shí)間: 2025-3-23 00:54
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
作者: arterioles    時(shí)間: 2025-3-23 02:23
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
作者: 燒瓶    時(shí)間: 2025-3-23 07:04
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
作者: 知道    時(shí)間: 2025-3-23 12:35
https://doi.org/10.1007/978-3-642-73440-3ccess 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
作者: pellagra    時(shí)間: 2025-3-23 14:25

作者: jettison    時(shí)間: 2025-3-23 19:54
Gespr?chstechnik der neuen Generationit 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
作者: Salivary-Gland    時(shí)間: 2025-3-23 23:19
https://doi.org/10.1007/978-1-4302-6326-5gures. These two notions played an essential role in his mathematics and in his understanding of what he called ?geometricity’. My paper is divided into four sections. The first section investigates the meaning of analysis and ?analyzability?, as well as their relation to ?geometricity’ and shows th
作者: Dictation    時(shí)間: 2025-3-24 05:12
Ein subjektives Museum von 1984icipated 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
作者: Engaging    時(shí)間: 2025-3-24 09:07
https://doi.org/10.1007/978-3-319-96707-3ubjects with those of Georg Cantor, I outline Leibniz’s doctrine of the fictionality of infinite wholes and numbers by reference to his 1674 quadrature of the hyperbola, and defend its consistency against criticisms. In the third section I show how this same conception of the infinite informs Leibni
作者: Hallmark    時(shí)間: 2025-3-24 14:00
R. Carlsson,T. Johansson,L. Kahlmannd 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
作者: 地名詞典    時(shí)間: 2025-3-24 18:04
Biotechnology Intelligence Units 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
作者: paltry    時(shí)間: 2025-3-24 20:02

作者: MUMP    時(shí)間: 2025-3-24 23:11
Norma B. Goethe,Philip Beeley,David RabouinFirst 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
作者: graphy    時(shí)間: 2025-3-25 06:28
978-94-017-7869-5Springer Netherlands 2015
作者: Corroborate    時(shí)間: 2025-3-25 09:48
G.W. Leibniz, Interrelations between Mathematics and Philosophy978-94-017-9664-4Series ISSN 1385-0180 Series E-ISSN 2215-0064
作者: braggadocio    時(shí)間: 2025-3-25 12:17

作者: MAIM    時(shí)間: 2025-3-25 16:23
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.
作者: 裙帶關(guān)系    時(shí)間: 2025-3-25 22:37

作者: omnibus    時(shí)間: 2025-3-26 01:43

作者: Grating    時(shí)間: 2025-3-26 06:29

作者: 蘑菇    時(shí)間: 2025-3-26 09:37
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.
作者: gastritis    時(shí)間: 2025-3-26 15:06

作者: Permanent    時(shí)間: 2025-3-26 20:31
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.
作者: 朝圣者    時(shí)間: 2025-3-27 00:53
Gespr?chstechnik der neuen Generation though it presents a determinate topic for scientific investigation. Thus a closer look at Leibniz’s account of time presents an especially ‘pure’ version of the interaction of mathematics and philosophy in the service of progressive knowledge.
作者: Chronological    時(shí)間: 2025-3-27 02:18

作者: 功多汁水    時(shí)間: 2025-3-27 06:02
https://doi.org/10.1007/978-3-319-96707-3 presupposed by them. I then argue that these unities of substance make actual the parts of matter, according to Leibniz, by being the foundation of the motions that individuate the actual parts of matter from one instant to another.
作者: foppish    時(shí)間: 2025-3-27 13:28

作者: 否決    時(shí)間: 2025-3-27 17:21

作者: jeopardize    時(shí)間: 2025-3-27 21:43
Leibniz as Reader and Second Inventor: The Cases of Barrow and Mengolid Leibniz never acknowledge any influence of these two mathematicians on his own studies? After publication of Leibniz’s manuscripts concerning the prehistory and early history of the calculus in the Academy Edition (A VII 3–6) these questions can be investigated on the solid foundation of original texts.
作者: 侵害    時(shí)間: 2025-3-28 01:30
Leibniz’s Actual Infinite in Relation to His Analysis of Matter presupposed by them. I then argue that these unities of substance make actual the parts of matter, according to Leibniz, by being the foundation of the motions that individuate the actual parts of matter from one instant to another.
作者: Patrimony    時(shí)間: 2025-3-28 02:44

作者: Armada    時(shí)間: 2025-3-28 06:29

作者: characteristic    時(shí)間: 2025-3-28 10:49
Analyticité, équipollence et théorie des courbes chez Leibnizentify curves with polygons of infinitely many, infinitely small sides. The ?aequipolence principle’, based on the notion of quadrature, became the fundamental principle of his infinitesimal geometry and of his differential calculus, too. The third section elaborates how Leibniz?s classification of
作者: Nostalgia    時(shí)間: 2025-3-28 15:24

作者: Infiltrate    時(shí)間: 2025-3-28 22:50

作者: 喃喃訴苦    時(shí)間: 2025-3-29 02:19

作者: 保存    時(shí)間: 2025-3-29 03:53
https://doi.org/10.1007/978-1-4302-6326-5entify curves with polygons of infinitely many, infinitely small sides. The ?aequipolence principle’, based on the notion of quadrature, became the fundamental principle of his infinitesimal geometry and of his differential calculus, too. The third section elaborates how Leibniz?s classification of
作者: 紳士    時(shí)間: 2025-3-29 11:02
G.W. Leibniz, Interrelations between Mathematics and Philosophy
作者: Formidable    時(shí)間: 2025-3-29 14:08
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