Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition

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Author :
Publisher : Springer Nature
ISBN 13 : 3030958175
Total Pages : 306 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition by : Angela Axworthy

Download or read book Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition written by Angela Axworthy and published by Springer Nature. This book was released on 2022-06-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On Joachim Jungius’ Texturæ Contemplatio

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Publisher : Springer Nature
ISBN 13 : 3031408810
Total Pages : 416 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis On Joachim Jungius’ Texturæ Contemplatio by : Michael Friedman

Download or read book On Joachim Jungius’ Texturæ Contemplatio written by Michael Friedman and published by Springer Nature. This book was released on 2024-01-28 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Topkapi Scroll

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Publisher : Getty Publications
ISBN 13 : 0892363355
Total Pages : 414 pages
Book Rating : 4.8/5 (923 download)

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Book Synopsis The Topkapi Scroll by : Gülru Necipoğlu

Download or read book The Topkapi Scroll written by Gülru Necipoğlu and published by Getty Publications. This book was released on 1996-03-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Passion of the Western Mind

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Publisher : Ballantine Books
ISBN 13 : 0307804526
Total Pages : 560 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis Passion of the Western Mind by : Richard Tarnas

Download or read book Passion of the Western Mind written by Richard Tarnas and published by Ballantine Books. This book was released on 2011-10-19 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[This] magnificent critical survey, with its inherent respect for both the 'Westt's mainstream high culture' and the 'radically changing world' of the 1990s, offers a new breakthrough for lay and scholarly readers alike....Allows readers to grasp the big picture of Western culture for the first time." SAN FRANCISCO CHRONICLE Here are the great minds of Western civilization and their pivotal ideas, from Plato to Hegel, from Augustine to Nietzsche, from Copernicus to Freud. Richard Tarnas performs the near-miracle of describing profound philosophical concepts simply but without simplifying them. Ten years in the making and already hailed as a classic, THE PASSION OF THE WESERN MIND is truly a complete liberal education in a single volume.

Axiomatic Method and Category Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3319004042
Total Pages : 285 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Axiomatic Method and Category Theory by : Andrei Rodin

Download or read book Axiomatic Method and Category Theory written by Andrei Rodin and published by Springer Science & Business Media. This book was released on 2013-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.

De Sphaera of Johannes de Sacrobosco in the Early Modern Period

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Publisher : Springer Nature
ISBN 13 : 3030308332
Total Pages : 406 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis De Sphaera of Johannes de Sacrobosco in the Early Modern Period by : Matteo Valleriani

Download or read book De Sphaera of Johannes de Sacrobosco in the Early Modern Period written by Matteo Valleriani and published by Springer Nature. This book was released on 2020-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of Harmony

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Publisher : World Scientific
ISBN 13 : 9812775838
Total Pages : 745 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Mathematics of Harmony by : Alexey Stakhov

Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."

Aesch Mezareph

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Publisher : Lulu.com
ISBN 13 : 0993421083
Total Pages : 42 pages
Book Rating : 4.9/5 (934 download)

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Book Synopsis Aesch Mezareph by : William Wynn Westcott

Download or read book Aesch Mezareph written by William Wynn Westcott and published by Lulu.com. This book was released on 2018-10-29 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?sch Mezareph or Ash Metzareph, is only known to persons of Western Culture from the Latin Translation found in a fragmentary condition in the work entitled Kabalah Denudata by Knorr von Rosenroth, published at Sulzbach in 1677-84. These volumes have as a sub-title ?The Transcendental, Metaphysical and Theological Doctrines of the Hebrews?, and they enshrine a Latin translation, with part of the Hebrew text and commentaries, of the great Sohar or ZOHAR, ?The Book of Splendour? which is the most famous of all the Hebrew mystical codices of the Kabalah. Sapere Aude?

What is Life? the Physical Aspect of the Living Cell & Mind and Matter

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Author :
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis What is Life? the Physical Aspect of the Living Cell & Mind and Matter by : Erwin Schrödinger

Download or read book What is Life? the Physical Aspect of the Living Cell & Mind and Matter written by Erwin Schrödinger and published by . This book was released on 1967 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Institutionalization of Science in Early Modern Europe

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Publisher : BRILL
ISBN 13 : 9004416870
Total Pages : 313 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis The Institutionalization of Science in Early Modern Europe by : Mordechai Feingold

Download or read book The Institutionalization of Science in Early Modern Europe written by Mordechai Feingold and published by BRILL. This book was released on 2019-11-26 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to furnish a broader framework for analyzing the scientific and institutional context that gave rise to scientific academies in Europe, from Italy to England, and from Poland to Portugal.

Seeing Like a State

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Publisher : Yale University Press
ISBN 13 : 0300252986
Total Pages : 462 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Seeing Like a State by : James C. Scott

Download or read book Seeing Like a State written by James C. Scott and published by Yale University Press. This book was released on 2020-03-17 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the most profound and illuminating studies of this century to have been published in recent decades.”—John Gray, New York Times Book Review Hailed as “a magisterial critique of top-down social planning” by the New York Times, this essential work analyzes disasters from Russia to Tanzania to uncover why states so often fail—sometimes catastrophically—in grand efforts to engineer their society or their environment, and uncovers the conditions common to all such planning disasters. “Beautifully written, this book calls into sharp relief the nature of the world we now inhabit.”—New Yorker “A tour de force.”— Charles Tilly, Columbia University

The Knot Book

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Knot Book by : Colin Conrad Adams

Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

The Archaeology of Knowledge

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Publisher : Vintage
ISBN 13 : 0307819256
Total Pages : 335 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis The Archaeology of Knowledge by : Michel Foucault

Download or read book The Archaeology of Knowledge written by Michel Foucault and published by Vintage. This book was released on 2012-07-11 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Madness, sexuality, power, knowledge—are these facts of life or simply parts of speech? In a series of works of astonishing brilliance, historian Michel Foucault excavated the hidden assumptions that govern the way we live and the way we think. The Archaeology of Knowledge begins at the level of "things aid" and moves quickly to illuminate the connections between knowledge, language, and action in a style at once profound and personal. A summing up of Foucault's own methadological assumptions, this book is also a first step toward a genealogy of the way we live now. Challenging, at times infuriating, it is an absolutey indispensable guide to one of the most innovative thinkers of our time.

Bulletin of the Atomic Scientists

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bulletin of the Atomic Scientists by :

Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1972-10 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

The Spell of the Sensuous

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Publisher : Vintage
ISBN 13 : 0307830551
Total Pages : 344 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis The Spell of the Sensuous by : David Abram

Download or read book The Spell of the Sensuous written by David Abram and published by Vintage. This book was released on 2012-10-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the International Lannan Literary Award for Nonfiction Animal tracks, word magic, the speech of stones, the power of letters, and the taste of the wind all figure prominently in this intellectual tour de force that returns us to our senses and to the sensuous terrain that sustains us. This major work of ecological philosophy startles the senses out of habitual ways of perception. For a thousand generations, human beings viewed themselves as part of the wider community of nature, and they carried on active relationships not only with other people with other animals, plants, and natural objects (including mountains, rivers, winds, and weather patters) that we have only lately come to think of as "inanimate." How, then, did humans come to sever their ancient reciprocity with the natural world? What will it take for us to recover a sustaining relation with the breathing earth? In The Spell of the Sensuous David Abram draws on sources as diverse as the philosophy of Merleau-Ponty, Balinese shamanism, Apache storytelling, and his own experience as an accomplished sleight-of-hand of magician to reveal the subtle dependence of human cognition on the natural environment. He explores the character of perception and excavates the sensual foundations of language, which--even at its most abstract--echoes the calls and cries of the earth. On every page of this lyrical work, Abram weaves his arguments with a passion, a precision, and an intellectual daring that recall such writers as Loren Eisleley, Annie Dillard, and Barry Lopez.

God and Reason in the Middle Ages

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Publisher : Cambridge University Press
ISBN 13 : 9780521003377
Total Pages : 412 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis God and Reason in the Middle Ages by : Edward Grant

Download or read book God and Reason in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 2001-07-30 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how the Age of Reason actually began during the late Middle Ages.

What is Life?

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Publisher : Cambridge University Press
ISBN 13 : 1107604664
Total Pages : 201 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis What is Life? by : Erwin Schrödinger

Download or read book What is Life? written by Erwin Schrödinger and published by Cambridge University Press. This book was released on 2012-03-26 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What Is Life?" is Nobel laureate Erwin Schrödinger's exploration of the question which lies at the heart of biology. His essay, "Mind and Matter," investigates what place consciousness occupies in the evolution of life, and what part the state of development of the human mind plays in moral questions. "Autobiographical Sketches" offers a fascinating fragmentary account of his life as a background to his scientific writings.