The Infinite Line is a Triangle

The Infinite Line is a Triangle PDF Author: Cardinal Nicholas (of Cusa)
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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The Immanence of the Infinite

The Immanence of the Infinite PDF Author: Elizabeth Brient
Publisher: CUA Press
ISBN: 9780813210896
Category : Biography & Autobiography
Languages : en
Pages : 312

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Book Description
Most scholars would agree that there is an epochal threshold between the world of the Middle Ages and the modern world. Agreement on the nature and dynamic structure of that threshold is harder to come by. Hans Blumenberg's original and compelling account of the transition from medieval to modern, given in his 1966 work The Legitimacy of the Modern Age, has received wide attention. Elizabeth Brient begins her own account of the transition with an extensive, critical assessment of central aspects of Blumenberg's work. She elucidates his "dialogical" method of historical explanation, then discusses the shortcomings of his defense of the "legitimacy" of modernity. The transition to the modern world is marked by the process of making infinite the finite medieval cosmos. Whereas Blumenberg focused on the spatial infinitization of the universe, Brient claims that the process must be understood intensively as well as extensively. In the now-infinite universe of the new science, the problem of finding a measure for man's self-assertive activity, and for human knowledge, comes to the fore. The second half of the book focuses on the way in which this difficulty is addressed with conceptual resources developed in the tradition of late medieval Neoplatonism, in particular in the speculative thought of Meister Eckart and Nicholas of Cusa. Specific attention is given to the way in which Cusanus' notion of the immanence of the infinite in the finite responds to the need for a regulative ideal for human knowing. This is the first book-length treatment of Blumenberg to appear in English and will be a most welcome resource for readers engaged by debates concerning the status of modernity. It will be of equal interest to students of Eckhart and Cusanus, and to those generally concerned with the transition between the medieval and the modern world. ABOUT THE AUTHOR: Elizabeth Brient is Assistant Professor of philosophy at The University of Georgia. PRAISE FOR THE BOOK: "Blumenberg could not have wished for a more reverent critique of his achievements or a more exacting textual exegesis regarding the sources of their philosophical content, all written in a lucid style that is forthright in the defense of the depth of thought during the Middle Ages but also pleasing in its subtle irony with respect to Blumenberg's and the author's own metaphysical creed."- Walter F. Veit, Speculum "Brient's analysis of Blumenberg's philosophy sheds significant light in the debate concerning modernity. . . ." --Albrecht Classen, University of Arizona, German Studies Review

Nicholas of Cusa's on Learned Ignorance

Nicholas of Cusa's on Learned Ignorance PDF Author: Karsten Harries
Publisher: CUA Press
ISBN: 0813238323
Category : Philosophy
Languages : en
Pages : 501

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Book Description
This is the first commentary to have been written on Nicholas of Cusa's most famous work, On Learned Ignorance. This fact testifies to the difficulty of what has long been recognized to be the most significant philosophical text produced by the Renaissance. While there are many passages in the work that can be cited in support of Cassirer's celebration of Cusanus as the first modern philosopher, that judgment is challenged by the way his work is rooted in a faith and a tradition likely to strike us as thoroughly medieval. This commentary shows how closely the two are linked. Despite the many ways in which what the cardinal has to say belongs to a past that the progress of reason would seem to have left irrecoverably behind, it yet provides us with a continuing challenge. Key to On Learned Ignorance is the incommensurability of the infinite and the finite, of God and creation. Cusanus lets us recognize the essential transcendence of reality, so different from the ontology implied by Descartes' insistence on clear and distinct understanding, which has presided over the progress of science and has helped shape our world. What makes Cusanus' thought important is not the way it anticipates modernity, but the way it challenges often taken-for-granted presuppositions of our worldview, most importantly a distinctly modern self-assertion or self-elevation that has made our human reason the measure of reality. If it is impossible to deny the countless ways in which our science and technology have given us ever deeper insights into the mysteries of nature and improved our lives, it is equally impossible to deny that this very progress today endangers this fragile earth and the quality of our lives. Cusanus can help us preserve our humanity.

Selected Spiritual Writings

Selected Spiritual Writings PDF Author: Cardinal Nicholas (of Cusa)
Publisher: Paulist Press
ISBN: 9780809136988
Category : Biography & Autobiography
Languages : en
Pages : 408

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Book Description
For the first time in one volume in English are the spiritual writings of this outstanding intellectual figure (1401-1464) whose work anticipated modern problems of ecumenicity and pluralism, empowerment and reconciliation, and tolerance and individuality.

Reasoning with the Infinite

Reasoning with the Infinite PDF Author: Michel Blay
Publisher: University of Chicago Press
ISBN: 9780226058351
Category : History
Languages : en
Pages : 230

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Book Description
Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist

Of Learned Ignorance

Of Learned Ignorance PDF Author: Nicholas Cusanus
Publisher: Wipf and Stock Publishers
ISBN: 1556354495
Category : Religion
Languages : en
Pages : 203

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Knots, Molecules, and the Universe

Knots, Molecules, and the Universe PDF Author: Erica Flapan
Publisher: American Mathematical Soc.
ISBN: 1470425351
Category : Mathematics
Languages : en
Pages : 406

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Book Description
This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook. The book is divided into three parts corresponding to the three areas referred to in the title. Part 1 develops techniques that enable two- and three-dimensional creatures to visualize possible shapes for their universe and to use topological and geometric properties to distinguish one such space from another. Part 2 is an introduction to knot theory with an emphasis on invariants. Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material. The style of the book is informal and lively. Though all of the definitions and theorems are explicitly stated, they are given in an intuitive rather than a rigorous form, with several hundreds of figures illustrating the exposition. This allows students to develop intuition about topology and geometry without getting bogged down in technical details.

Mystical Theology and Platonism in the Time of Cusanus

Mystical Theology and Platonism in the Time of Cusanus PDF Author: Jason Aleksander
Publisher: BRILL
ISBN: 9004536906
Category : History
Languages : en
Pages : 416

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Book Description
Mystical Theology and Platonism in the Time of Cusanus engages with the history of mystical theology and Neoplatonic philosophy through the lens of the 15th century philosopher and theologian, Nicholas of Cusa. The volume comprises nineteen essays that break down the barriers between medieval and Renaissance studies, reinterpreting Cusanus’ place in the history of thought by exploring the archive that informed his thinking, while also interrogating his works by exploring them from the standpoint of their later reception by modern philosophers and theologians. The volume also offers tribute to the career of Donald F. Duclow, a leading scholar in the field of Cusanus studies in particular and of the history of mystical theology and Neoplatonic philosophy more generally.

Dialogue Concerning the Two Chief World Systems

Dialogue Concerning the Two Chief World Systems PDF Author: Galileo
Publisher: Modern Library
ISBN: 037575766X
Category : Science
Languages : en
Pages : 642

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Book Description
Galileo’s Dialogue Concerning the Two Chief World Systems, published in Florence in 1632, was the most proximate cause of his being brought to trial before the Inquisition. Using the dialogue form, a genre common in classical philosophical works, Galileo masterfully demonstrates the truth of the Copernican system over the Ptolemaic one, proving, for the first time, that the earth revolves around the sun. Its influence is incalculable. The Dialogue is not only one of the most important scientific treatises ever written, but a work of supreme clarity and accessibility, remaining as readable now as when it was first published. This edition uses the definitive text established by the University of California Press, in Stillman Drake’s translation, and includes a Foreword by Albert Einstein and a new Introduction by J. L. Heilbron.

Infinity

Infinity PDF Author: Michael Heller
Publisher: Cambridge University Press
ISBN: 1139495569
Category : Mathematics
Languages : en
Pages : 327

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Book Description
This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.