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Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Descartes' Dream by Philip J. Davis,Reuben Hersh Pdf
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.
The Geometry of René Descartes by René Descartes Pdf
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.
Rules for the Direction of the Mind by René Descartes Pdf
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.
"[Goodbye, Descartes] is certain to attract attention and controversy..a fascinating journey to the edges of logical thinking and beyond." -Publishers Weekly (???) Critical Acclaim for Keith Devlin's Previous Book Mathematics: The Science of Patterns "A book such as this belongs in the personal library of everyone interested in learning about some of the most subtle and profound works of the human spirit." -American Scientist "Devlin's very attractive book is a well-written attempt to explain mathematics to educated nonmathematicians . the basic ideas are presented in a clear, concise, and easily understood manner. Highly recommended." -Choice "[Devlin] has found an interesting way of exhibiting how mathematics is unified . the author's presentation is a tour de force." -Mathematical Reviews A Selection of the Newbridge Library of Science and Reader's Subscription
The a priori in the Thought of Descartes by Jan Palkoska Pdf
It has been acknowledged that, while Descartes’s usage of the term “a priori” is at odds with the now-current Kantian meaning, it also fails to correspond to the standard Aristotelian notion. However, there is, as yet, little agreement as to the exact positive meaning Descartes associates with the term. As such, this book offers a clear and historically adequate account of this disputed issue. Descartes’s concept of apriority is interpreted as resulting from an interplay of two trends: development of a universal method of discovery based upon Descartes’s ground-breaking reinterpretation of heuristic procedures in mathematics, and a substantial transformation of the Renaissance-Aristotelian conception of scientific reasoning. This interpretation stems from a fresh and innovative account of some central and controversial topics of Descartes scholarship and from a historically-informed outline of the situation in mathematics and in philosophy of science in Descartes’s times. The book will thus contribute to a better understanding of several fundamental issues in the philosopher’s thought. It will also help to shed light upon the challenging and strangely neglected question of why Kant decided to employ the term “a priori” in a way which differs so dramatically from the once well-established Aristotelian usage.
René Descartes (1596–1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook—and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages—which, though written in code, he amazingly deciphered there on the spot. Leibniz’s hastily scribbled notes are all we have today of Descartes’s notebook, which has disappeared. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
Discourse on the Method Rene Descartes - Published in the 17th century, Discourse on the Method is considered one of the most profound and influential works on philosophy. Descartes touches on subjects such as nature, the existence of God and the Soul, and morality, among many others
Great Currents of Mathematical Thought by François Le Lionnais Pdf
50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.
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."
Rene Descartes, the celebrated mathematician and physicist, is also often considered a founder of modern philosophy, as he sought new ways to move beyond Medieval Aristoteleanism and justify the science of his day. In his Discourse on Method he expresses his disappointment with traditional philosophy and with the limitations of theology; only logic, geometry and algebra hold his respect, because of the utter certainty which they can offer us. Unfortunately, because they depend on hypotheses, they cannot tell us what is real (i.e., what the world is really like). Therefore Descartes proposes a method of thought incorporating the rigor of mathematics but based on intuitive truths about what is real, basic knowledge which could not be wrong (like the axioms of geometry). He calls into question everything that he thinks he has learned through his senses but rests his whole system on the one truth that he cannot doubt, namely, the reality of his own mind and the radical difference between the mental and the physical aspects of the world.
Discourse on the Method and the Meditations by Rene Descartes Pdf
I perceived it to be possible to arrive at knowledge highly useful in life; and in room of the Speculative Philosophy usually taught in the Schools, to discover a Practical, by means of which, knowing the force and action of fire, water, air, the stars, the heavens, and all the other bodies that surround us, as distinctly as we know the various crafts of our artizans, we might also apply them in the same way to all the uses to which they are adapted, and thus render ourselves the lords and possessors of nature. from Part VI of Discourse on the Method 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. Here, in one volume, are two of the great thinkers most significant works: [ Discourse on the Method was 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 Sciencesits 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. [ Meditations, originally subtitled In which the existence of God and the immortality of the soul are demonstrated, was written in Latin and first published in 1641here, Descartes considers that nature of the human mind, how we can know whatwe know, and the essence of material things. Essential reading for understanding both todays science and todays philosophy, these foundational works are here presented in the 1901 edition of the 1850 English translations by Scottish poet, philosopher, and historian JOHN VEITCH (18291894).
Descartes: A Very Short Introduction by Tom Sorell Pdf
René Descartes (1596-1650) had a remarkably short working life, and his output was small, yet his contributions to philosophy and science have endured to the present day. He is perhaps best known for his statement 'Cogito, ergo sum'. By a mixture of 'intuition' and 'deduction' Descartes derived from the 'cogito' principle first the existence of a material world. But Descartes did not intend the metaphysics to stand apart from his scientific work, which included important investigations into physics, mathematics, psychology, and optics. In this book Tom Sorrell shows that Descartes was, above all, an advocate and practitioner of a new mathematical approach to physics, and that he developed his metaphysics to support his programme in the sciences. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
