Rene Descartes Regulae Ad Directionem Ingenii

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Regulae Ad Directionem Ingenii

Author : René Descartes
Publisher : Rodopi
ISBN 13 : 9789042001381
Total Pages : 290 pages
Book Rating : 4.0/5 (13 download)

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Book Synopsis Regulae Ad Directionem Ingenii by : René Descartes

Download or read book Regulae Ad Directionem Ingenii written by René Descartes and published by Rodopi. This book was released on 1998 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exactly four hundred years after the birth of René Descartes (1596-1650), the present volume now makes available, for the first time in a bilingual, philosophical edition prepared especially for English-speaking readers, his Regulae ad directionem ingenii / Rules for the Direction of the Natural Intelligence (1619-1628), the Cartesian treatise on method. This unique edition contains an improved version of the original Latin text, a new English translation intended to be as literal as possible and as liberal as necessary, an interpretive essay contextualizing the text historically, philologically, and philosophically, a com-prehensive index of Latin terms, a key glossary of English equivalents, and an extensive bibliography covering all aspects of Descartes' methodology. Stephen Gaukroger has shown, in his authoritative Descartes: An Intellectual Biography (1995), that one cannot understand Descartes without understanding the early Descartes. But one also cannot understand the early Descartes without understanding the Regulae / Rules. Nor can one understand the Regulae / Rules without understanding a philosophical edition thereof. Therein lies the justification for this project. The edition is intended, not only for students and teachers of philosophy as well as of related disciplines such as literary and cultural criticism, but also for anyone interested in seriously reflecting on the nature, expression, and exercise of human intelligence: What is it? How does it manifest itself? How does it function? How can one make the most of what one has of it? Is it equally distributed in all human beings? What is natural about it, and what, not? In the Regulae / Rules Descartes tries to provide, from a distinctively early modern perspective, answers both to these and to many other questions about what he refers to as ingenium.

René Descartes: Regulae Ad Directionem Ingenii

Author :
Publisher : Oxford University Press
ISBN 13 : 0199682941
Total Pages : 555 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis René Descartes: Regulae Ad Directionem Ingenii by :

Download or read book René Descartes: Regulae Ad Directionem Ingenii written by and published by Oxford University Press. This book was released on 2023-04-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the text of a newly discovered manusript draft of Descartes's Regulae alongside the 1701 text, with full English translations of both versions. The draft manuscript sheds important light on the composition, date, and philosophical content of this profoundly original work.

René Descartes: Regulae ad directionem ingenii

Author :
Publisher : Oxford University Press
ISBN 13 : 0192697072
Total Pages : 555 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis René Descartes: Regulae ad directionem ingenii by :

Download or read book René Descartes: Regulae ad directionem ingenii written by and published by Oxford University Press. This book was released on 2023-04-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes's Regulae ad directionem ingenii ('Rules for the Direction of the Understanding') is his earliest surviving philosophical treatise, and in many respects his most puzzling text. It is a profoundly original work with few intellectual precursors, and offers the fullest account anywhere in Descartes's work of his theory of method. Yet Descartes left it unfinished, and unpublished, at his death in 1650. The versions currently known to modern readers are all posthumous: a manuscript copied for Leibniz in the late seventeenth century, a Dutch translation of 1684, and the version printed in 1701 in Amsterdam. As a result, the details and date of its composition, its fragmentary, unfinished state, and its philosophical content have long puzzled scholars. The discovery by Richard Serjeantson in 2011 of a previously unknown, early manuscript draft of the Regulae in Cambridge University Library was a hugely significant event in Cartesian scholarship. This edition presents the Cambridge manuscript of the Regulae alongside the 1701 Amsterdam version of the text to allow comparison between the early manuscript draft and the version best-known to modern readers, together with a full English translations of both texts. It is also the first critical edition of the Regulae to take into account the full range of textual witnesses to the text, both manuscript and printed. The new Cambridge manuscript sheds important light on the composition, date, and philosophical content of the Regulae, and will provoke scholars to rethink key questions about Descartes's early philosophical development.

Regulæ ad Directionem IngenII

Author : René Descartes
Publisher : Springer
ISBN 13 : 9789401035392
Total Pages : 199 pages
Book Rating : 4.0/5 (353 download)

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Book Synopsis Regulæ ad Directionem IngenII by : René Descartes

Download or read book Regulæ ad Directionem IngenII written by René Descartes and published by Springer. This book was released on 2011-12-21 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'idee d'entreprendre une edition critique des Regulce ad direction em ingenii s'est imposee a nous pendant que nous pre parions un commentaire de ce traite inacheve de Descartes. Le texte etabli par Ch. Adam nous a, plus d'une fois, inspire certains doutes, qui nous invitaient a verifier les sources. C'est ainsi que nous avons ete amene a prendre en consideration la version hollandaise du XVIIe siecle, que 1'editeur de Descartes avait completement negligee. La collation du manuscrit de Hanovre avec l' editio princeps d' Amsterdam et l' examen de la version hollandaise nous ont permis de faire des retouches, quelquefois importantes, a 1'edition Adam. N ous tenons a remercier de leurs precieux conseils les Profes seurs Dr. E. W. Beth, Dr. E. Garin, Dr. F. L. R. Sassen, Ie Dr. F. Veenstra, et tout particulierement Ie Prof. Dr. P. Dibon, dont I'infatigable assistance nous a ete tres precieuse surtout dans la derniere phase de nos travaux. Nous sommes, en outre, tres reconnaissant a M. Ie Directeur de la Niedersachsische Lan desbibliothek de Hanovre pour Ie manuscrit qu'il a mis a notre disposition, et a M. Ie Directeur de l'Universiteitsbibliotheek d' Amsterdam pour l' exemplaire de la version hollandaise dont il nous a permis de publier Ie texte. Nous devons a Madame F. van Rossum-Guyon d'avoir rendu possible la traduction en franc;ais.

Regulae ad directionem ingenii / Rules for the Direction of the Natural Intelligence

Author : René Descartes
Publisher : BRILL
ISBN 13 : 9004456708
Total Pages : 288 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Regulae ad directionem ingenii / Rules for the Direction of the Natural Intelligence by : René Descartes

Download or read book Regulae ad directionem ingenii / Rules for the Direction of the Natural Intelligence written by René Descartes and published by BRILL. This book was released on 2024-01-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exactly four hundred years after the birth of René Descartes (1596-1650), the present volume now makes available, for the first time in a bilingual, philosophical edition prepared especially for English-speaking readers, his Regulae ad directionem ingenii / Rules for the Direction of the Natural Intelligence (1619-1628), the Cartesian treatise on method. This unique edition contains an improved version of the original Latin text, a new English translation intended to be as literal as possible and as liberal as necessary, an interpretive essay contextualizing the text historically, philologically, and philosophically, a com-prehensive index of Latin terms, a key glossary of English equivalents, and an extensive bibliography covering all aspects of Descartes' methodology. Stephen Gaukroger has shown, in his authoritative Descartes: An Intellectual Biography (1995), that one cannot understand Descartes without understanding the early Descartes. But one also cannot understand the early Descartes without understanding the Regulae / Rules. Nor can one understand the Regulae / Rules without understanding a philosophical edition thereof. Therein lies the justification for this project. The edition is intended, not only for students and teachers of philosophy as well as of related disciplines such as literary and cultural criticism, but also for anyone interested in seriously reflecting on the nature, expression, and exercise of human intelligence: What is it? How does it manifest itself? How does it function? How can one make the most of what one has of it? Is it equally distributed in all human beings? What is natural about it, and what, not? In the Regulae / Rules Descartes tries to provide, from a distinctively early modern perspective, answers both to these and to many other questions about what he refers to as ingenium.

Rules for the Direction of the Mind

Author : René Descartes
Publisher : DigiCat
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.8/5 (596 download)

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Book Synopsis Rules for the Direction of the Mind by : René Descartes

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.

Descartes: An Intellectual Biography

Author : Stephen Gaukroger
Publisher : Clarendon Press
ISBN 13 : 0191519545
Total Pages : 522 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Descartes: An Intellectual Biography by : Stephen Gaukroger

Download or read book Descartes: An Intellectual Biography written by Stephen Gaukroger and published by Clarendon Press. This book was released on 1995-03-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes (1596-1650) is the father of modern philosophy, and one of the greatest of all thinkers. This is the first intellectual biography of Descartes in English; it offers a fundamental reassessment of all aspects of his life and work. Stephen Gaukroger, a leading authority on Descartes, traces his intellectual development from childhood, showing the connections between his intellectual and personal life and placing these in the cultural context of seventeenth century Europe. Descartes' early work in mathematics and science produced ground breaking theories, methods, and tools still in use today. This book gives the first full account of how this work informed and influenced the later philosophical studies for which, above all, Descartes is renowned. Not only were philosophy and science intertwined in Descartes' life; so were philosophy and religion. The Church of Rome found Galileo guilty of heresy in 1633; two decades earlier, Copernicus' theories about the universe had been denounced as blasphemous. To avoid such accusations, Descartes clothed his views about the relation between God and humanity, and about the nature of the universe, in a philosophical garb acceptable to the Church. His most famous project was the exploration of the foundations of human knowledge, starting from the proof of one's own existence offered in the formula Cogito ergo sum, `I am thinking therefore I exist'. Stephen Gaukroger argues that this was not intended as an exercise in philosophical scepticism, but rather to provide Descartes' scientific theories, influenced as they were by Copernicus and Galileo, with metaphysical legitimation. This book offers for the first time a full understanding of how Descartes developed his revolutionary ideas. It will be welcomed by all readers interested in the origins of modern thought.

The Cambridge Descartes Lexicon

Author : Lawrence Nolan
Publisher : Cambridge University Press
ISBN 13 : 1316380939
Total Pages : 1642 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis The Cambridge Descartes Lexicon by : Lawrence Nolan

Download or read book The Cambridge Descartes Lexicon written by Lawrence Nolan and published by Cambridge University Press. This book was released on 2015-01-01 with total page 1642 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge Descartes Lexicon is the definitive reference source on René Descartes, 'the father of modern philosophy' and arguably among the most important philosophers of all time. Examining the full range of Descartes' achievements and legacy, it includes 256 in-depth entries that explain key concepts relating to his thought. Cumulatively they uncover interpretative disputes, trace his influences, and explain how his work was received by critics and developed by followers. There are entries on topics such as certainty, cogito ergo sum, doubt, dualism, free will, God, geometry, happiness, human being, knowledge, Meditations on First Philosophy, mind, passion, physics, and virtue, which are written by the largest and most distinguished team of Cartesian scholars ever assembled for a collaborative research project - 92 contributors from ten countries.

Descartes and the Ingenium

Author : Raphaële Garrod
Publisher : Brill's Studies in Intellectua
ISBN 13 : 9789004437616
Total Pages : 239 pages
Book Rating : 4.4/5 (376 download)

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Book Synopsis Descartes and the Ingenium by : Raphaële Garrod

Download or read book Descartes and the Ingenium written by Raphaële Garrod and published by Brill's Studies in Intellectua. This book was released on 2020-11-26 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Descartes and the 'Ingenium' tracks the significance of embodied thought (ingenium) in the philosophical trajectory of the founding father of dualism. The first part defines the notion of ingenium in relation to core concepts of Descartes's philosophy, such as memory and enumeration. It focuses on Descartes's uses of this notion in methodical thinking, mathematics, and medicine. The studies in the second part place the Cartesian ingenium within preceding scholastic and humanist pedagogical and natural-philosophical traditions, and highlight its hitherto ignored social and political significance for Descartes himself as a member of the Republic of Letters. By embedding Descartes' notion of ingenium in contemporaneous medical, pedagogical, but also social and literary discourses, this volume outlines the fundamentally anthropological and ethical underpinnings of Descartes's revolutionary epistemology"--

The Process of Mathematical Reasoning as Presented in Descartes' "Regulae Ad Directionem Ingenii."

Download The Process of Mathematical Reasoning as Presented in Descartes'

Author : Marie Eleanor Porter
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Process of Mathematical Reasoning as Presented in Descartes' "Regulae Ad Directionem Ingenii." by : Marie Eleanor Porter

Download or read book The Process of Mathematical Reasoning as Presented in Descartes' "Regulae Ad Directionem Ingenii." written by Marie Eleanor Porter and published by . This book was released on 1950 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regulæ ad Directionem IngenII

Author : René Descartes
Publisher : Springer Science & Business Media
ISBN 13 : 9401035377
Total Pages : 235 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Regulæ ad Directionem IngenII by : René Descartes

Download or read book Regulæ ad Directionem IngenII written by René Descartes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'idee d'entreprendre une edition critique des Regulce ad direction em ingenii s'est imposee a nous pendant que nous pre parions un commentaire de ce traite inacheve de Descartes. Le texte etabli par Ch. Adam nous a, plus d'une fois, inspire certains doutes, qui nous invitaient a verifier les sources. C'est ainsi que nous avons ete amene a prendre en consideration la version hollandaise du XVIIe siecle, que 1'editeur de Descartes avait completement negligee. La collation du manuscrit de Hanovre avec l'editio princeps d' Amsterdam et l'examen de la version hollandaise nous ont permis de faire des retouches, quelquefois importantes, a 1'edition Adam. N ous tenons a remercier de leurs precieux conseils les Profes seurs Dr. E.W. Beth, Dr. E. Garin, Dr. F.L.R. Sassen, Ie Dr. F. Veenstra, et tout particulierement Ie Prof. Dr. P. Dibon, dont I'infatigable assistance nous a ete tres precieuse surtout dans la derniere phase de nos travaux. Nous sommes, en outre, tres reconnaissant a M. Ie Directeur de la Niedersachsische Lan desbibliothek de Hanovre pour Ie manuscrit qu'il a mis a notre disposition, et a M. Ie Directeur de l'Universiteitsbibliotheek d' Amsterdam pour l'exemplaire de la version hollandaise dont il nous a permis de publier Ie texte. Nous devons a Madame F. van Rossum-Guyon d'avoir rendu possible la traduction en franc;ais.

Discourse on the Method

Author : Rene Descartes
Publisher : Independently Published
ISBN 13 : 9781795148450
Total Pages : 146 pages
Book Rating : 4.1/5 (484 download)

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Book Synopsis Discourse on the Method by : Rene Descartes

Download or read book Discourse on the Method written by Rene Descartes and published by Independently Published. This book was released on 2019-01-30 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discourse on the MethodBy René DescartesThe Discourse on the Method is a philosophical and mathematical treatise published by René Descartes in 1637. Its full name is Discourse on the Method of Rightly Conducting the Reason, and Searching for Truth in the Sciences (French title: Discours de la méthode pour bien conduire sa raison, et chercher la verité dans les sciences). The Discourse on Method is best known as the source of the famous quotation "Je pense, donc je suis" ("I think, therefore I am"), which occurs in Part IV of the work. (The similar statement in Latin, Cogito ergo sum, is found in §7 of Principles of Philosophy.) In addition, in one of its appendices, La Géométrie, is contained Descartes' first introduction of the Cartesian coordinate system.The Discourse on the Method is one of the most influential works in the history of modern science. It is a method which gives a solid platform from which all modern natural sciences could evolve. In this work, Descartes tackles the problem of skepticism which had been revived from the ancients such as Sextus Empiricus by authors such as Al-Ghazali and Michel de Montaigne. Descartes modified it to account for a truth that he found to be incontrovertible. Descartes started his line of reasoning by doubting everything, so as to assess the world from a fresh perspective, clear of any preconceived notions.

Descartes and the Ontology of Everyday Life

Author : Deborah J. Brown
Publisher : Oxford University Press, USA
ISBN 13 : 0198836813
Total Pages : 266 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Descartes and the Ontology of Everyday Life by : Deborah J. Brown

Download or read book Descartes and the Ontology of Everyday Life written by Deborah J. Brown and published by Oxford University Press, USA. This book was released on 2019-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventeenth century was a period of extraordinary invention, discovery and revolutions in scientific, social and political orders. It was a time of expansive automation, biological discovery, rapid advances in medical knowledge, of animal trials and a questioning of the boundaries between species, human and non-human, between social classes, and of the assumed naturalness of political inequality. This book gives a tour through those objects, ordinary and extraordinary, which captivated the philosophical imagination of the single most important French philosopher of this period, Rene Descartes. Deborah J. Brown and Calvin G. Normore document Descartes' attempt to make sense of the complex, composite objects of human and divine invention, consistent with the fundamental tenets of his metaphysical system. Their central argument is that, far from reducing all the categories of ordinary experience to the two basic categories of substance, mind and body, Descartes' philosophy recognises irreducible composites that resist reduction, and require their own distinctive modes of explanation.

Discourse on the Method

Author : René Descartes
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722122768
Total Pages : 64 pages
Book Rating : 4.1/5 (227 download)

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Book Synopsis Discourse on the Method by : René Descartes

Download or read book Discourse on the Method written by René Descartes and published by Createspace Independent Publishing Platform. This book was released on 2018-07 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discourse on the Method René Descartes The Discourse on the Method is a philosophical and mathematical treatise published by René Descartes in 1637. Its full name is Discourse on the Method of Rightly Conducting the Reason, and Searching for Truth in the Sciences (French title: Discours de la méthode pour bien conduire sa raison, et chercher la verité dans les sciences). The Discourse on Method is best known as the source of the famous quotation "Je pense, donc je suis" ("I think, therefore I am"), which occurs in Part IV of the work. (The similar statement in Latin, Cogito ergo sum, is found in §7 of Principles of Philosophy.) In addition, in one of its appendices, La Géométrie, is contained Descartes' first introduction of the Cartesian coordinate system. The Discourse on the Method is one of the most influential works in the history of modern science. It is a method which gives a solid platform from which all modern natural sciences could evolve. In this work, Descartes tackles the problem of skepticism which had been revived from the ancients such as Sextus Empiricus by authors such as Al-Ghazali and Michel de Montaigne. Descartes modified it to account for a truth that he found to be incontrovertible. Descartes started his line of reasoning by doubting everything, so as to assess the world from a fresh perspective, clear of any preconceived notions. The book was originally published in Leiden in French, together with his works "Dioptrique, Météores et Géométrie." Later, it was translated into Latin and published in 1656 in Amsterdam. Together with Meditations on First Philosophy (Meditationes de Prima Philosophia), Principles of Philosophy (Principia philosophiae) and Rules for the Direction of the Mind (Regulae ad directionem ingenii), it forms the base of the Epistemology known as Cartesianism. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

Discourse on the Method

Author : René Descartes
Publisher :
ISBN 13 : 9781676354796
Total Pages : 66 pages
Book Rating : 4.3/5 (547 download)

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Book Synopsis Discourse on the Method by : René Descartes

Download or read book Discourse on the Method written by René Descartes and published by . This book was released on 2020-02-20 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Discourse on the Method is a philosophical and mathematical treatise published by René Descartes in 1637. Its full name is Discourse on the Method of Rightly Conducting the Reason, and Searching for Truth in the Sciences (French title: Discours de la méthode pour bien conduire sa raison, et chercher la verité dans les sciences). The Discourse on Method is best known as the source of the famous quotation "Je pense, donc je suis" ("I think, therefore I am"), which occurs in Part IV of the work. (The similar statement in Latin, Cogito ergo sum, is found in §7 of Principles of Philosophy.) In addition, in one of its appendices, La Géométrie, is contained Descartes' first introduction of the Cartesian coordinate system.The Discourse on the Method is one of the most influential works in the history of modern science. It is a method which gives a solid platform from which all modern natural sciences could evolve. In this work, Descartes tackles the problem of skepticism which had been revived from the ancients such as Sextus Empiricus by authors such as Al-Ghazali and Michel de Montaigne. Descartes modified it to account for a truth that he found to be incontrovertible. Descartes started his line of reasoning by doubting everything, so as to assess the world from a fresh perspective, clear of any preconceived notions.The book was originally published in Leiden in French, together with his works "Dioptrique, Météores et Géométrie". Later, it was translated into Latin and published in 1656 in Amsterdam.Together with Meditations on First Philosophy (Meditationes de Prima Philosophia), Principles of Philosophy (Principia philosophiae) and Rules for the Direction of the Mind (Regulae ad directionem ingenii), it forms the base of the Epistemology known as Cartesianism.

Descartes's Imagination

Author : Dennis L. Sepper
Publisher : Univ of California Press
ISBN 13 : 9780520200500
Total Pages : 344 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Descartes's Imagination by : Dennis L. Sepper

Download or read book Descartes's Imagination written by Dennis L. Sepper and published by Univ of California Press. This book was released on 1996-01-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A work of major importance for the interpretation of Descartes's development and for the understanding of the function of the imagination in Descartes's early works. Descartes's Imagination will be a must in Descartes and imagination studies. It is long overdue."--Eva T. H. Brann, author of The World of Imagination: Sum and Substance "A significant contribution to our understanding of the development of Descartes's philosophy."--William R. Shea, author of The Magic of Numbers and Motion: The Scientific Career of Rene Descartes

Descartes’s Mathematical Thought

Author : C. Sasaki
Publisher : Springer Science & Business Media
ISBN 13 : 9401712255
Total Pages : 502 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Descartes’s Mathematical Thought by : C. Sasaki

Download or read book Descartes’s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.