Download or read book Selected Essays on Pre and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 963 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.
Download or read book Mastering the History of Pure and Applied Mathematics written by Toke Knudsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-06-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.
Download or read book Ethics and Mathematics Education written by Paul Ernest and published by Springer Nature. This book was released on 2024 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume is an inquiry into the ethics of mathematics education, and to a lesser extent, the ethics of mathematics. The imposition of mathematics for all raises questions of ethics. What are the ethics of teaching school mathematics? What are the costs as well as the benefits? What are the ethical issues raised by the official aims of mathematics teaching, the planned curriculum, the pedagogies employed in school and college mathematics and the assessment systems? These questions are addressed in the book as well as what systems of ethics we might use. The volume ventures into a burgeoning new field. It offers a unique set of investigations, both theoretical and in terms of practices. It announces the ethics of mathematics education as a new subfield of research and includes valuable contributions from many of the best-known researchers in mathematics education; additionally, it is a valuable resource for students, teachers and researchers in the field. This is an enduring and classic source book in the field. From the wisdom of leading scholars to the little heard voices of students, this collection offers the reader many striking new insights into the ethics of mathematics and education.
Download or read book Minerva Meets Vulcan Scientific and Technological Literature 1450 1750 written by Wolfgang Lefèvre and published by Springer Nature. This book was released on 2021-06-16 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive study and account of the co-evolution of technological and scientific literature in the early modern period (1450-1750). It examines the various relationships of these literatures in six areas of knowledge – Architecture, Chemistry, Gunnery, Mechanical Engineering, Mining, and Practical Mathematics – which represent the main types of advanced technological and scientific knowledge of the era. These six fields of technologically advanced knowledge and their interrelations and interactions with learned knowledge are investigated and discussed through a specific lens: by focusing on the technological literature. Among present-day historians of science, it hardly remains controversial that contact and exchange between educated and practical knowledge played a significant role in the development of the natural sciences and technology in early modern Europe. Several paths for such exchange arose from the late Middle Ages onward due to the formation of an economy of knowledge that fostered contacts and exchange between the two worlds. How can this development be adequately described and how, on the basis of such a description, can the significance of this process for the early modern history of knowledge in the West be assessed? These are the overarching questions this book tries to answer. There exists a considerable amount of literature concerning several stations and events in the course of this long development process as well as its various aspects. As meritorious and indispensable as many of these studies are, none of them tried to portray this process as a whole with its most essential branches. What is more, many of them implicitly or explicitly took physics as a model of science, and thus highlighted mechanics and mechanical engineering as the model of all interrelations of practical and learned knowledge. By contrast, this book aims at a more complete portrait of the early modern interrelations and interactions between learned and practical knowledge. It tries to convey a new idea of the variety and disunity of these relations by discussing and comparing altogether six widely different fields of knowledge and practice. The targeted audience of this book is first of all the historians of science and technology. As one of the peer reviewers suggested – the book could very well become a textbook used for teaching the history of science and technology at universities. Furthermore, since the book addresses fundamental aspects of the significance emergence and development of modern science has for the self-image of the West, it can be expected that it will attract the attention and interest of a wider readership than professional historians.
Download or read book Explorations and False Trails written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna -- with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift.
Download or read book The New Yearbook for Phenomenology and Phenomenological Philosophy written by Burt Hopkins and published by Routledge. This book was released on 2021-09-20 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume XVIII. Special Issue: Gian-Carlo Rota and The End of Objectivity, 2019
Download or read book The Arithmetica of Diophantus written by Jean Christianidis and published by Taylor & Francis. This book was released on 2022-11-01 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary. Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought. The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.
Download or read book Lengths Widths Surfaces written by Jens Høyrup and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Download or read book The World of the Abbaco written by Jens Høyrup and published by Springer Nature. This book was released on 2024 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Kant to Husserl written by Charles Parsons and published by Harvard University Press. This book was released on 2012-03-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant’s philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.
Download or read book Encyclopedia of Early Modern Philosophy and the Sciences written by Dana Jalobeanu and published by Springer Nature. This book was released on 2022-08-27 with total page 2267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia offers a fresh, integrated and creative perspective on the formation and foundations of philosophy and science in European modernity. Combining careful contextual reconstruction with arguments from traditional philosophy, the book examines methodological dimensions, breaks down traditional oppositions such as rationalism vs. empiricism, calls attention to gender issues, to ‘insiders and outsiders’, minor figures in philosophy, and underground movements, among many other topics. In addition, and in line with important recent transformations in the fields of history of science and early modern philosophy, the volume recognizes the specificity and significance of early modern science and discusses important developments including issues of historiography (such as historical epistemology), the interplay between the material culture and modes of knowledge, expert knowledge and craft knowledge. This book stands at the crossroads of different disciplines and combines their approaches – particularly the history of science, the history of philosophy, contemporary philosophy of science, and intellectual and cultural history. It brings together over 100 philosophers, historians of science, historians of mathematics, and medicine offering a comprehensive view of early modern philosophy and the sciences. It combines and discusses recent results from two very active fields: early modern philosophy and the history of (early modern) science. Editorial Board EDITORS-IN-CHIEF Dana Jalobeanu University of Bucharest, Romania Charles T. Wolfe Ghent University, Belgium ASSOCIATE EDITORS Delphine Bellis University Nijmegen, The Netherlands Zvi Biener University of Cincinnati, OH, USA Angus Gowland University College London, UK Ruth Hagengruber University of Paderborn, Germany Hiro Hirai Radboud University Nijmegen, The Netherlands Martin Lenz University of Groningen, The Netherlands Gideon Manning CalTech, Pasadena, CA, USA Silvia Manzo University of La Plata, Argentina Enrico Pasini University of Turin, Italy Cesare Pastorino TU Berlin, Germany Lucian Petrescu Université Libre de Bruxelles, Belgium Justin E. H. Smith University de Paris Diderot, France Marius Stan Boston College, Chestnut Hill, MA, USA Koen Vermeir CNRS-SPHERE + Université de Paris, France Kirsten Walsh University of Calgary, Alberta, Canada
Download or read book The Idea of Principles in Early Modern Thought written by Peter R. Anstey and published by Taylor & Francis. This book was released on 2017-04-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays breaks new ground in bringing together scholars from a range of disciplines to focus on the nature and status of principles in early modern thought. A comprehensive introduction argues that there is a natural "fault line" between propositional and ontological principles, and establishes a clear understanding of how the term principle might be used, and of the kinds of questions that might be raised about its usage. With contributions from leading scholars—including Daniel Garber, William Newman, and Sophie Roux—this book will be of interest to scholars of early modern philosophy, the history of early modern thought, and the history and philosophy of science.
Download or read book Human Sciences written by Jens Hoyrup and published by SUNY Press. This book was released on 2000-06-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers historical and philosophical arguments for treating the humanities as sciences.
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2024-01-18 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics.Some of the topics explored include: A way to rethink how logic is taught to philosophy students by using a rejuvenated version of the Aristotelian idea of an argument schema A quantitative approach using data from Wikipedia to study collaboration between nineteenth-century British mathematicians The depiction and perception of Émilie Du Châtelet’s scientific contributions as viewed through the frontispieces designed for books written by or connected to her A study of the Cambridge Women’s Research Club, a place where British women were able to participate in scholarly scientific discourse in the middle of the twentieth century An examination of the research and writing process of mathematicians by looking at their drafts and other preparatory notes A global history of al-Khwārāzmī’s Kitāb al-jabr wa-l-muqābala as obtained by tracing its reception through numerous translations and commentaries Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Download or read book The Oxford Handbook of Philosophy in Early Modern Europe written by Desmond M. Clarke and published by Oxford University Press, USA. This book was released on 2011-01-27 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: A team of leading scholars survey the development of philosophy in the period of extraordinary intellectual change from the mid-16th century to the early 18th century. They cover metaphysics and natural philosophy; the mind, the passions, and aesthetics; epistemology, logic, mathematics, and language; ethics and political philosophy; and religion.
Download or read book Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics written by Albrecht Heeffer and published by . This book was released on 2010 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The novel use of symbolism in early modern mathematics poses both philosophical and historical questions. How can we trace its development and transmission through manuscript sources? Is it intrinsically related to the emergence of symbolic algebra? How does symbolism relate to the use of diagrams? What are the consequences of symbolic reasoning on our understanding of nature? Can a symbolic language enable new forms of reasoning? Does a universal symbolic language exists which enables us to express all knowledge? This book brings together a collection of papers that address all these and related questions ? which were initially posed on a conference held in Ghent (Belgium) in August 2009. Scholars working on philosophy of science, history of philosophy and history of mathematics provide an insight into the role and function of symbolic representations in the development of early modern mathematics. The papers cover the period from early abbaco arithmetic and algebra (14th century) up to Leibniz (early 18th century).
Download or read book Free Software Free Society written by Richard Stallman and published by Lulu.com. This book was released on 2002 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essay Collection covering the point where software, law and social justice meet.
