Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe

Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe

Author: Lesley B. Cormack

Publisher: Springer

Published: 2017-03-15

Total Pages: 205

ISBN-13: 3319494309

DOWNLOAD EBOOK

This book argues that we can only understand transformations of nature studies in the Scientific Revolution if we take seriously the interaction between practitioners (those who know by doing) and scholars (those who know by thinking). These are not in opposition, however. Theory and practice are end points on a continuum, with some participants interested only in the practical, others only in the theoretical, and most in the murky intellectual and material world in between. It is this borderland where influence, appropriation, and collaboration have the potential to lead to new methods, new subjects of enquiry, and new social structures of natural philosophy and science. The case for connection between theory and practice can be most persuasively drawn in the area of mathematics, which is the focus of this book. Practical mathematics was a growing field in early modern Europe and these essays are organised into three parts which contribute to the debate about the role of mathematical practice in the Scientific Revolution. First, they demonstrate the variability of the identity of practical mathematicians, and of the practices involved in their activities in early modern Europe. Second, readers are invited to consider what practical mathematics looked like and that although practical mathematical knowledge was transmitted and circulated in a wide variety of ways, participants were able to recognize them all as practical mathematics. Third, the authors show how differences and nuances in practical mathematics typically depended on the different contexts in which it was practiced: social, cultural, political, and economic particularities matter. Historians of science, especially those interested in the Scientific Revolution period and the history of mathematics will find this book and its ground-breaking approach of particular interest.


The Sacred Alignments and Sigils

The Sacred Alignments and Sigils

Author: Robert Podgurski

Publisher: North Atlantic Books

Published: 2019-10-29

Total Pages: 306

ISBN-13: 1623174228

DOWNLOAD EBOOK

A breakthrough in occult studies that combines modern sigil techniques with traditional Enochian Magick and appeals to all levels of ritual magick practitioners, explorers of consciousness, scholars, dowsers, and tantric yoga practitioners Author and magick practitioner Robert Podgurski shares his discovery and development of the Grid Sigil--a tool for exploring the mysteries of embodiment and unity that bridges Enochian Magick with Sparean sigilization. Properly constructed, it emanates the root energies of the four elements bound by spirit in the space/time continuum. This text offers readers a variety of techniques for using the Grid Sigil and is an essential guidebook for understanding the connection between Enochian Magick, geomagnetism, shamanism, and other facets of Eastern and Western esotericism. Close attention is paid to critical metaphysical thought through in-depth analysis based in science, metaphysics, philosophical speculation, and illustrations.


Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition

Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition

Author: Angela Axworthy

Publisher: Springer Nature

Published: 2022-06-11

Total Pages: 306

ISBN-13: 3030958175

DOWNLOAD EBOOK

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.


The Automaton in English Renaissance Literature

The Automaton in English Renaissance Literature

Author: Wendy Beth Hyman

Publisher: Routledge

Published: 2016-03-23

Total Pages: 232

ISBN-13: 1317040805

DOWNLOAD EBOOK

The Automaton in English Renaissance Literature features original essays exploring the automaton-from animated statue to anthropomorphized machine-in the poetry, prose, and drama of England in the 16th and 17th centuries. Addressing the history and significance of the living machine in early modern literature, the collection places literary automata of the period within their larger aesthetic, historical, philosophical, and scientific contexts. While no single theory or perspective conscribes the volume, taken as a whole the collection helps correct an assumption that frequently emerges from a post-Enlightenment perspective: that these animated beings are by definition exemplars of the new science, or that they point necessarily to man's triumphant relationship to technology. On the contrary, automata in the sixteenth and seventeenth centuries seem only partly and sporadically to function as embodiments of an emerging mechanistic or materialist worldview. Renaissance automata were just as likely not to confirm for viewers a hypothesis about the man-machine. Instead, these essays show, automata were often a source of wonder, suggestive of magic, proof of the uncannily animating effect of poetry-indeed, just as likely to unsettle the divide between man and divinity as that between man and matter.


Language, Logic, and Concepts

Language, Logic, and Concepts

Author: Ray Jackendoff

Publisher: MIT Press

Published: 2002

Total Pages: 512

ISBN-13: 9780262600460

DOWNLOAD EBOOK

A wide-ranging collection of essays inspired by the memory of the cognitive psychologist John Macnamara.


The Culture of Capital

The Culture of Capital

Author: Henry Turner

Publisher: Routledge

Published: 2014-04-08

Total Pages: 319

ISBN-13: 113520568X

DOWNLOAD EBOOK

Leading literary critics and historians reassess one of the defining features of early modern England -the idea of "capital." The collection reevaluates the different aspects of the concept amidst the profound changes of the period.


The Cartographic Imagination in Early Modern England

The Cartographic Imagination in Early Modern England

Author: D.K. Smith

Publisher: Routledge

Published: 2016-04-01

Total Pages: 246

ISBN-13: 1317039335

DOWNLOAD EBOOK

Working from a cultural studies perspective, author D. K. Smith here examines a broad range of medieval and Renaissance maps and literary texts to explore the effects of geography on Tudor-Stuart cultural perceptions. He argues that the literary representation of cartographically-related material from the late fifteenth to the early seventeenth century demonstrates a new strain, not just of geographical understanding, but of cartographic manipulation, which he terms, "the cartographic imagination." Rather than considering the effects of maps themselves on early modern epistemologies, Smith considers the effects of the activity of mapping-the new techniques, the new expectations of accuracy and precision which developed in the sixteenth century-on the ways people thought and wrote. Looking at works by Spenser, Marlowe, Raleigh, and Marvell among other authors, he analyzes how the growing ability to represent physical space accurately brought with it not just a wealth of new maps, but a new array of rhetorical techniques, metaphors, and associations which allowed the manipulation of texts and ideas in ways never before possible.


Janello Torriani and the Spanish Empire

Janello Torriani and the Spanish Empire

Author: Cristiano Zanetti

Publisher: BRILL

Published: 2017-07-10

Total Pages: 462

ISBN-13: 9004320911

DOWNLOAD EBOOK

Janello Torriani, known in the Spanish-speaking world as Juanelo Turriano (Cremona, Italy ca. 1500 – Toledo, Spain 1585), is the greatest among Renaissance inventors and constructors of machines. Contemporary literates and mathematicians celebrated Janello Torriani and his creations in their writings. It is striking how such fame turned into nearly complete oblivion, leaving only a few clues of a blurred and distorted memory dispersed here and there. This book wishes to show the central role that artisans formed in the Vitruvian tradition played in demonstrating through practical mathematics an increasing and positive control over Nature, a step rooted in humanist culture and foundational for the understanding of those historical processes known as the Scientific and the Industrial Revolutions.