Descartes on Mathematics, Method and Motion PDF Download

Author: Ladislav Kvasz
Publisher: Springer Nature
ISBN: 3031570618
Category :
Languages : en
Pages : 85

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Author: Ladislav Kvasz
Publisher: Springer
ISBN: 9783031570605
Category : Science
Languages : en
Pages : 0

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Book Description
This book argues that Descartes’ physics was a milestone on the road to modern mathematical physics. After Newton introduced a completely different approach to mathematical description of motion, Descartes’ physics became obsolete and even difficult to comprehend. This text follows the language of Descartes and the means of which motion can be described. It argues that Descartes achieved almost everything that later Newton was able to do—to describe the motion of interacting bodies- by different (i.e. algebraic) means. This volume completely refutes the received view according to which Descartes’ physics was merely a kind of discursive natural philosophy. To make this interpretation more plausible the book follows Descartes’ ideas from his early work in mathematics, through his invention of the analytic method towards his mature physics. It shows that Descartes followed a similar heuristic pattern. The volume appeals to students and researchers; it invites the reader equippedwith minimal understanding of college mathematics to follow Descartes on his intellectual journey through the Scientific Revolution. The reader will gain a deeper understanding of the role of mathematical language in the creation of modern physics and a glimpse into the fascinating world of Descartes’ scientific thought. Several of Descartes’ philosophical ideas can be traced back to his scientific interests and thus the book elucidates the motivation behind some of Descartes’ key positions in the area of epistemology and method. In the penultimate chapter the book presents four arguments in favor of seeing Descartes as a physicist on par with Galileo and Newton.

Author: René Descartes
Publisher: Open Court
ISBN:
Category : Mathematics
Languages : en
Pages : 274

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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." -- John Stuart Mill.

Author: Stephen Gaukroger
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 352

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Author: John Schuster
Publisher: Springer Science & Business Media
ISBN: 9400747462
Category : Science
Languages : en
Pages : 643

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This book reconstructs key aspects of the early career of Descartes from 1618 to 1633; that is, up through the point of his composing his first system of natural philosophy, Le Monde, in 1629-33. It focuses upon the overlapping and intertwined development of Descartes’ projects in physico-mathematics, analytical mathematics, universal method, and, finally, systematic corpuscular-mechanical natural philosophy. The concern is not simply with the conceptual and technical aspects of these projects; but, with Descartes’ agendas within them and his construction and presentation of his intellectual identity in relation to them. Descartes’ technical projects, agendas and senses of identity shifted over time, entangled and displayed great successes and deep failures, as he morphed from a mathematically competent, Jesuit trained graduate in neo-Scholastic Aristotelianism to aspiring prophet of a systematised corpuscular-mechanism, passing through stages of being a committed physico-mathematicus, advocate of a putative ‘universal mathematics’, and projector of a grand methodological dream. In all three dimensions—projects, agendas and identity concerns—the young Descartes struggled and contended, with himself and with real or virtual peers and competitors, hence the title ‘Descartes-Agonistes’.

Author: Philip J. Davis
Publisher: Courier Corporation
ISBN: 0486442527
Category : Mathematics
Languages : en
Pages : 354

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These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.

Author: J. F. Scott
Publisher: Routledge
ISBN: 1315511312
Category : Philosophy
Languages : en
Pages : 275

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Book Description
When originally published in 1952, this book filled a gap in the history of philosophy and science and remains an important work today, because it puts the main mathematical and physical discoveries of Descartes in an accessible form, for the benefit of English readers. Descartes is acknowledged to be the founder of modern mathematics, through his invention of analytical geometry and this volume charts Descartes’ role in bringing a unity into algebra and geometry and the development of mathematics into a discipline which could be properly analysed. Carefully paraphrasing the Géométrie, this volume retains much of Descartes’ original notation as well as the original diagrams. The volume also discusses the considerable contribution that Descartes made to the physical sciences which involved accurate work in optics, light, sight and colour.

Author: David D. Nolte
Publisher: Oxford University Press
ISBN: 0192528505
Category : Science
Languages : en
Pages : 384

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Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Author: René Descartes
Publisher: DigiCat
ISBN:
Category : Nature
Languages : en
Pages : 44

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Book Description
Descartes was an eighteenth-century mathematician and musician, He believed that all problems could be solved using mathematical logic. In this book which was published in 1701 after his death, he outlines the four main rules: (1) accept nothing as true that is not self-evident, (2) divide problems into their simplest parts, (3) solve problems by proceeding from simple to complex, and (4) recheck the reasoning.

Author: Rene Descartes
Publisher: Penguin
ISBN: 1101160500
Category : Philosophy
Languages : en
Pages : 260

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Book Description
"It is not enough to have a good mind; it is more important to use it well" René Descartes was a central figure in the scientific revolution of the seventeenth century. In his Discourse on Method he outlined the contrast between mathematics and experimental sciences, and the extent to which each one can achieve certainty. Drawing on his own work in geometry, optics, astronomy and physiology, Descartes developed the hypothetical method that characterizes modern science, and this soon came to replace the traditional techniques derived from Aristotle. Many of Descartes’ most radical ideas—such as the disparity between our perceptions and the realities that cause them—have been highly influential in the development of modern philosophy. This edition sets the Discourse on Method in the wider context of Descartes’ work, with the Rules for Guiding One’s Intelligence in Searching for the Truth (1628), extracts from The World (1633) and selected letters from 1636-9. A companion volume, Meditations and Other Metaphysical Writings, is also published in Penguin Classics.