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Author : Ladislav Kvasz
Publisher : Springer Nature
ISBN 13 : 3031570618
Total Pages : 85 pages
Book Rating : 4.0/5 (315 download)
Download or read book Descartes on Mathematics, Method and Motion written by Ladislav Kvasz and published by Springer Nature. This book was released on with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ladislav Kvasz
Publisher : Springer
ISBN 13 : 9783031570605
Total Pages : 0 pages
Book Rating : 4.5/5 (76 download)
Download or read book Descartes on Mathematics, Method and Motion written by Ladislav Kvasz and published by Springer. This book was released on 2024-05-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : John Schuster
Publisher : Springer Science & Business Media
ISBN 13 : 9400747462
Total Pages : 643 pages
Book Rating : 4.4/5 (7 download)
Download or read book Descartes-Agonistes written by John Schuster and published by Springer Science & Business Media. This book was released on 2012-10-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stephen Gaukroger
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.F/5 ( download)
Download or read book Descartes written by Stephen Gaukroger and published by . This book was released on 1980 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip J. Davis
Publisher : Courier Corporation
ISBN 13 : 0486442527
Total Pages : 354 pages
Book Rating : 4.4/5 (864 download)
Download or read book Descartes' Dream written by Philip J. Davis and published by Courier Corporation. This book was released on 2005-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1315511312
Total Pages : 275 pages
Book Rating : 4.3/5 (155 download)
Download or read book The Scientific Work of René Descartes written by J. F. Scott and published by Routledge. This book was released on 2016-08-12 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : René Descartes
Publisher : DigiCat
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.8/5 (596 download)
Download or read book Rules for the Direction of the Mind written by René Descartes and published by DigiCat. This book was released on 2022-06-03 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1101160500
Total Pages : 260 pages
Book Rating : 4.1/5 (11 download)
Download or read book Discourse on Method and Related Writings written by Rene Descartes and published by Penguin. This book was released on 2000-03-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Rene Descartes
Publisher : Cosimo, Inc.
ISBN 13 : 1605205354
Total Pages : 130 pages
Book Rating : 4.6/5 (52 download)
Download or read book Discourse on the Method written by Rene Descartes and published by Cosimo, Inc.. This book was released on 2008-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long chains of simple and easy reasonings by means of which geometers are accustomed to reach the conclusions of their most difficult demonstrations, had led me to imagine that all things, the knowledge of which is competent to man, are mutually connected in the same way, and that there is nothing so far removed from us as to be beyond our reach, or so hidden that we cannot discover it, provided only we abstain from accepting the false for the true, and always preserve in our thoughts the order necessary for the deduction of one truth from another. from Part II Sometimes called the father of modern philosophy, French mathematician, scientist, and writer RENE DESCARTES (15961650) continues to have a deeply profound impact on our modern world. His thinking on how the mind works and what is it capable of has profoundly impacted our understanding of ourselveshe summed up his philosophy with the phrase I think, therefore I am, which still thrills usand his influence extends to our own experiments with modern computing and artificial intelligence. This treatise on the value of doubt and skepticism when studying the natural world laid the foundation for the modern scientific method as we still employ it today, as well as the basis for modern philosophy. It is impossible to overstate how vital this work is to the entirety of human culture as it stands in the 21st century. Written in French and first published in 1637 under the full title Discourse on the Method of Rightly Conducting the Reason, and Seeking Truth in the Sciences, it is here presented in the 1901 edition of the 1850 English translation by Scottish poet, philosopher, and historian JOHN VEITCH (18291894).
Author : René Descartes
Publisher : Joe Books Ltd
ISBN 13 : 1772754145
Total Pages : 80 pages
Book Rating : 4.7/5 (727 download)
Download or read book Discourse on Method written by René Descartes and published by Joe Books Ltd. This book was released on 2016-08-31 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes (1596-1650) has been called the father of modern philosophy. In this work, he outlines his "Method," which attempts to apply mathematical reasoning to all fields of inquiry. Starting with universal doubt, Descartes passes via his celebrated "I think, therefore I am," to the certainty of the existence of God. Sayre Street Books offers the world's greatest literature in easy to navigate, beautifully designed digital editions.
Author : Joseph Frederick Scott
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (41 download)
Download or read book The Scientific Work of René Descartes (1596-1650) written by Joseph Frederick Scott and published by . This book was released on 1952 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A work which puts the chief mathematical and physical discoveries of Descartes in an accessible form, for the benefit of English readers, fills an outstanding gap upon the shelf devoted to the history of philosophy and science. Descartes is universally acknowledged to be the founder of modern mathematics through the invention of analytical geometry, and it was no exaggeration when M. Chasles wrote of him that this single revolutionary step changed the face of mathematics. ... Dr. Scott has given us large tracts of the Géométrie carefully paraphrased, retaining almost all the original notation of Descartes as well as the original and often fascinating diagrams...There is here to be found the considerable contribution that Descartes made to the physical sciences, which involved much accurate work in geometrical optics and its bearing upon the practical problem of fashioning lenses, as also the deeper problems of sight and colour. While the theories and results in these matters had not that instant effect upon natural philosophy comparable to the decisive impact of analytical geometry upon mathematics, they none the less partook of a clarity and accuracy which resembles the optical work of Newton, and there is little room to doubt that they formed an essential prelude to the discoveries not only of Newton, but also of Huygens, Hooke and James Gregory. The careful treatment that Dr. Scott has here accorded to this work of Descartes is welcome. It goes far enough into detail by developing the original argument without attempting to cover the whole range of subjects undertaken by Descartes, such as mechanics, glass-grinding, music, biology: and it is put into a proper perspective in regard to former, present and subsequent discoveries..."--
Author : Henk J.M. Bos
Publisher : Springer Science & Business Media
ISBN 13 : 1461300878
Total Pages : 472 pages
Book Rating : 4.4/5 (613 download)
Download or read book Redefining Geometrical Exactness written by Henk J.M. Bos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Author : René Descartes
Publisher : Lebooks Editora
ISBN 13 : 6558943271
Total Pages : 381 pages
Book Rating : 4.5/5 (589 download)
Download or read book DESCARTES ESSENTIAL written by René Descartes and published by Lebooks Editora. This book was released on 2024-03-19 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Often called " The founder of modern philosophy" and the "father of modern mathematics," René Descartes is considered one of the most important and influential thinkers in the history of Western thought, having inspired contemporaries and several generations of later philosophers. Experts affirm that, starting from Descartes, the rationalism of the Modern Age was inaugurated. In this valuable eBook, the reader will be able to learn about Descartes' thought through two of his most important works: " Discourse on the Method" and " Meditations on First Philosophy."
Author : Tarek Dika
Publisher : Oxford University Press
ISBN 13 : 0192869868
Total Pages : 407 pages
Book Rating : 4.1/5 (928 download)
Download or read book Descartes's Method written by Tarek Dika and published by Oxford University Press. This book was released on 2023-03-02 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tarek Dika presents a systematic account of Descartes' method and its efficacy. He develops an ontological interpretation of Descartes's method as a dynamic and, within limits, differentiable problem-solving cognitive disposition or habitus, which can be actualized or applied to different problems in various ways, depending on the nature of the problem. Parts I-II of the book develop the foundations of such an habitual interpretation of Descartes's method, while Parts III-V demonstrate the fruits of such an interpretation in metaphysics, natural philosophy, and mathematics. This is the first book to draw on the recently-discovered Cambridge manuscript of Descartes's Rules for the Direction of the Mind (1620s): it gives a concrete demonstration of the efficacy of Descartes's method in the sciences and of the underlying unity of Descartes's method from Rules for the Direction of the Mind to Principles of Philosophy (1644).
Author : René Descartes
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discourse on the Method of Rightly Conducting the Reason, and Seeking Truth in the Sciences written by René Descartes and published by . This book was released on 1899 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emily Grosholz
Publisher :
ISBN 13 : 9786610809745
Total Pages : 176 pages
Book Rating : 4.8/5 (97 download)
Download or read book Cartesian Method and the Problem of Reduction written by Emily Grosholz and published by . This book was released on 1991-03-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartesian method, construed as a way of organizing domains of knowledge according to the 'order of reason', was a powerful reductive tool. Descartes produced important results in mathematics, physics, and metaphysics by relating certain complex items and problems back to simpler elements that serve as starting points for his inquiries. However, his reductive method also impoverished these domains in important ways, for it tended to restrict geometry to the study of straight line segments, physics to the study of ambiguously constituted bits of matter in motion, and metaphysics to the study of the isolated, incorporeal knower. This book examines in detail the impact, negative and positive, of Descartes's method on his scientific and philosophical enterprises, exemplified by the Geometry, the Principles, the Treatise of Man, and the Meditations.
Author : Peter Damerow
Publisher : Springer Science & Business Media
ISBN 13 : 1475739923
Total Pages : 428 pages
Book Rating : 4.4/5 (757 download)
Download or read book Exploring the Limits of Preclassical Mechanics written by Peter Damerow and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the transition from Renaissance engineering and philosophy of nature to classical mechanics oriented on the central concept of velocity. For this new edition, the authors include a new discussion of the doctrine of proportions, an analysis of the role of traditional statics in the construction of Descartes' impact rules, and go deeper into the debate between Descartes and Hobbes on the explanation of refraction. They also provide significant new material on the early development of Galileo's work on mechanics and the law of fall.
