Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method PDF Author: Niccolo Guicciardini
Publisher: MIT Press
ISBN: 0262291657
Category : Mathematics
Languages : en
Pages : 449

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Book Description
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.

Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method PDF Author: Niccolo Guicciardini
Publisher: MIT Press
ISBN: 0262291657
Category : Mathematics
Languages : en
Pages : 449

Get Book Here

Book Description
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.

Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method PDF Author: Niccolò Guicciardini
Publisher: MIT Press
ISBN: 0262013177
Category : Mathematical analysis
Languages : en
Pages : 449

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Book Description
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics.

Newton and the Origin of Civilization

Newton and the Origin of Civilization PDF Author: Jed Z. Buchwald
Publisher: Princeton University Press
ISBN: 0691154783
Category : Biography & Autobiography
Languages : en
Pages : 544

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Book Description
Reveals the manner in which Newton strove for nearly half a century to rectify universal history by reading ancient texts through the lens of astronomy, and to create a tight theoretical system for interpreting the evolution of civilization on the basis of population dynamics

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World PDF Author: Sir Isaac Newton
Publisher: Univ of California Press
ISBN: 0520321723
Category : Science
Languages : en
Pages : 714

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Book Description
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934.

Isaac Newton's Natural Philosophy

Isaac Newton's Natural Philosophy PDF Author: Jed Z. Buchwald
Publisher: MIT Press
ISBN: 9780262524254
Category : Biography & Autobiography
Languages : en
Pages : 380

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Book Description
Shedding new light on the intellectual context of Newton's scientific thought, this book explores the development of his mathematical philosophy, rational mechanics, and celestial dynamics. An appendix includes the last paper written by Newton biographer Richard S. Westfall.

De Motu and the Analyst

De Motu and the Analyst PDF Author: G. Berkeley
Publisher: Springer Science & Business Media
ISBN: 9401125929
Category : Computers
Languages : en
Pages : 235

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Book Description
Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.

Isaac Newton and Natural Philosophy

Isaac Newton and Natural Philosophy PDF Author: Niccolò Guicciardini
Publisher: Reaktion Books
ISBN: 1780239483
Category : Biography & Autobiography
Languages : en
Pages : 269

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Book Description
Isaac Newton is one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of most contemporary scientists. In fact, Newton would have defined himself not as a scientist, but as a natural philosopher. He was deeply involved in alchemical, religious, and biblical studies, and in the later part of his life he played a prominent role in British politics, economics, and the promotion of scientific research. Newton’s pivotal work Philosophiæ Naturalis Principia Mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolò Guicciardini’s enlightening biography offers an accessible introduction both to Newton’s celebrated research in mathematics, optics, mechanics, and astronomy and to how Newton viewed these scientific fields in relation to his quest for the deepest secrets of the universe, matter theory and religion. Guicciardini sets Newton the natural philosopher in the troubled context of the religious and political debates ongoing during Newton’s life, a life spanning the English Civil Wars, the Restoration, the Glorious Revolution, and the Hanoverian succession. Incorporating the latest Newtonian scholarship, this fast-paced biography broadens our perception of both this iconic figure and the great scientific revolution of the early modern period.

Life of sir Isaac Newton [tr. by sir H.C. Elphinstone].

Life of sir Isaac Newton [tr. by sir H.C. Elphinstone]. PDF Author: Jean Baptiste Biot
Publisher:
ISBN:
Category :
Languages : en
Pages : 40

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Book Description


Newton and Empiricism

Newton and Empiricism PDF Author: Zvi Biener
Publisher: Oxford University Press
ISBN: 0199337101
Category : Philosophy
Languages : en
Pages : 385

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Book Description
This volume of original papers by a leading team of international scholars explores Isaac Newton's relation to a variety of empiricisms and empiricists. It includes studies of Newton's experimental methods in optics and their roots in Bacon and Boyle; Locke's and Hume's responses to Newton on the nature of matter, time, the structure of the sciences, and the limits of human inquiry. In addition it explores the use of Newtonian ideas in 18th-century pedagogy and the life sciences. Finally, it breaks new ground in analyzing the method of evidential reasoning heralded by the Principia, its nature, strength, and development in the subsequent three centuries of gravitational research. The volume will be of interest to historians of science and philosophy and philosophers interested in the nature of empiricism.

Oxford Handbook of Newton

Oxford Handbook of Newton PDF Author:
Publisher:
ISBN: 9780199930418
Category : Physics
Languages : en
Pages :

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Book Description
This handbook is currently in development, with individual articles publishing online in advance of print publication. At this time, we cannot add information about unpublished articles in this handbook, however the table of contents will continue to grow as additional articles pass through the review process and are added to the site. Please note that the online publication date for this handbook is the date that the first article in the title was published online. For more information, please read the site FAQs.