Motion And Genetic Definitions In The Sixteenth Century Euclidean Tradition
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Motion And Genetic Definitions In The Sixteenth Century Euclidean Tradition
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Author : Angela Axworthy
language : en
Publisher: Springer Nature
Release Date : 2022-06-11
Motion And Genetic Definitions In The Sixteenth Century Euclidean Tradition written by Angela Axworthy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-11 with Mathematics categories.
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid’s Elements has been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid’s Elements, from Oronce Fine (1494–1555) to Christoph Clavius (1538–1612), including Jacques Peletier (1517–1582), John Dee (1527–1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.
Pre Modern Mathematical Thought
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Author :
language : en
Publisher: BRILL
Release Date : 2025-07-10
Pre Modern Mathematical Thought written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with History categories.
This book takes readers through an exploration of fundamental discussions that redefined mathematics and its philosophical significance in the centuries foregoing modernity. From William of Auvergne’s paradoxes of infinity to Christoph Clavius’ interpretation of Euclidean principles, it examines the evolving understanding of central issues among which continuity, the existence of mathematical objects such as numbers, and the way humans can make true statements regarding such things. Each chapter sheds light on how premodern scholars bridged mathematics and philosophy, forging concepts and approaches that continued to influence early modern thought. A compelling read for historians, philosophers, and anyone intrigued by the origins and enduring legacy of mathematical ideas as both tools for inquiry and objects of reflection. Contributors are Joël Biard, Stephen Clucas, Clelia V. Crialesi, Vincenzo De Risi, Daniel Di Liscia, André Goddu, Kamil Majcherek, Paolo Mancosu, Aurélien Robert, Sabine Rommevaux, Sylvain Roudaut, and Cecilia Trifogli.
On Joachim Jungius Textur Contemplatio
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Author : Michael Friedman
language : en
Publisher: Springer Nature
Release Date : 2023-12-27
On Joachim Jungius Textur Contemplatio written by Michael Friedman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Technology & Engineering categories.
The book offers an analysis of Joachim Jungius’ Texturæ Contemplatio - a hitherto-unpublished manuscript written in German and Latin that deals with weaving, knitting and other textile practices, attempting to present as well various fabrics and textile techniques in a scientifical and even mathematical framework. The book aims to provide the epistemological, technical and historic framework for Jungius’ manuscript, inspecting fabrics, weaving techniques as well as looms and other textile machines in Holy Roman Empire during the Early Modern Period. It also offers a unique investigation of the notion and metaphor of ‘texture’ during this period, and explores, within the wider context of the ‘meeting’ or ‘trading zones’ thesis, the relations between artisans and natural philosophers during the 17th century. The book is of interest to historians of philosophy and mathematics, as well as historians of technology.
Akribeia Certainty And Ontology Of Mathematics In Alessandro Piccolomini S De Certitudine Mathematicarum
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Author : Álvaro José Campillo Bo
language : en
Publisher: BRILL
Release Date : 2025-03-28
Akribeia Certainty And Ontology Of Mathematics In Alessandro Piccolomini S De Certitudine Mathematicarum written by Álvaro José Campillo Bo and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-28 with Philosophy categories.
This book provides a comprehensive study of the origins of seminal early modern debates on the certainty and ontology of mathematics. It analyzes Alessandro Piccolomini’s De certitudine mathematicarum (1547), a work that ignited widespread controversy by challenging the scientific status of mathematics. The study delves into Piccolomini’s logical doctrines, his philosophy of mathematics, and his perspectives on the relationship between mechanics and natural philosophy. Special attention is given to Piccolomini’s ancient and medieval sources, the 16th-century rediscovery of Proclus’ In Euclidem, and the influence of Priscian’s In De Anima.
De Sphaera Of Johannes De Sacrobosco In The Early Modern Period
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Author : Matteo Valleriani
language : en
Publisher: Springer Nature
Release Date : 2020-01-23
De Sphaera Of Johannes De Sacrobosco In The Early Modern Period written by Matteo Valleriani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Science categories.
This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.
Pi In Nature Art And Culture
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Author : Marcel Danesi
language : en
Publisher: BRILL
Release Date : 2020-12-07
Pi In Nature Art And Culture written by Marcel Danesi and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.
In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.
The Topkapi Scroll
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Author : Gülru Necipoğlu
language : en
Publisher: Getty Publications
Release Date : 1996-03-01
The Topkapi Scroll written by Gülru Necipoğlu and has been published by Getty Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-01 with Art categories.
Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.
The Institutionalization Of Science In Early Modern Europe
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Author :
language : en
Publisher: BRILL
Release Date : 2019-11-26
The Institutionalization Of Science In Early Modern Europe written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-26 with Business & Economics categories.
This volume aims to furnish a broader framework for analyzing the scientific and institutional context that gave rise to scientific academies in Europe—including the Accademia del Cimento in Florence; the Royal Society in London; the Académie Royale des Sciences in Paris; and the Academia naturae curiosorum in Schweinfurt. The essays detail the multiple backgrounds that prompted seventeenth-century savants—from Italy to England, and from Poland to Portugal—to establish new forms of scientific organizations, in which to institutionalize collaborative research as well as modes of communication with like-minded individuals and associations.
The Mechanization Of Natural Philosophy
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Author : Sophie Roux
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-25
The Mechanization Of Natural Philosophy written by Sophie Roux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-25 with Science categories.
The Mechanisation of Natural Philosophy is devoted to various aspects of the transformation of natural philosophy during the 16th and 17th centuries that is usually described as mechanical philosophy . Drawing the border between the old Aristotelianism and the « new » mechanical philosophy faces historians with a delicate task, if not an impossible mission. There were many natural philosophers who actually crossed the border between the two worlds, and, inside each of these worlds, there was a vast spectrum of doctrines, arguments and intellectual practices. The expression mechanical philosophy is burdened with ambiguities. It may refer to at least three different enterprises: a description of nature in mathematical terms; the comparison of natural phenomena to existing or imaginary machines; the use in natural philosophy of mechanical analogies, i.e. analogies conceived in terms of matter and motion alone.However mechanical philosophy is defined, its ambition was greater than its real successes. There were few mathematisations of phenomena. The machines of mechanical philosophers were not only imaginary, but had little to do with the machines of mecanicians. In most of the natural sciences, analogies in terms of matter and motion alone failed to provide satisfactory accounts of phenomena.By the same authors: Mechanics and Natural Philosophy before the Scientific Revolution (Boston Studies in the Philosophy of Science 254).
Euclidean Distance Geometry
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Author : Leo Liberti
language : en
Publisher: Springer
Release Date : 2017-09-20
Euclidean Distance Geometry written by Leo Liberti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-20 with Mathematics categories.
This textbook, the first of its kind, presents the fundamentals of distance geometry: theory, useful methodologies for obtaining solutions, and real world applications. Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica®, enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in visualization of graphs, localization of sensor networks, protein conformation from distance data, clock synchronization protocols, robotics, and control of unmanned underwater vehicles, to name several. Aimed at intermediate undergraduates, beginning graduate students, researchers, and practitioners, the reader with a basic knowledge of linear algebra will gain an understanding of the basic theories of distance geometry and why they work in real life.