• Mathematics

Mathematics and the Divine

A Historical Study
Author: Teun Koetsier,Luc Bergmans
Publisher: Elsevier
ISBN: 9780080457352
Category: Mathematics
Page: 716
View: 8194
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn’t the Divine that which is immeasurable ? The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man’s quest for the Absolute in the course of history. · Mathematics and man's quest for the Absolute · A selective history highlighting key figures, schools and trains of thought · An international team of historians presenting specific new findings as well as general overviews · Confronting and uniting otherwise compartmentalized information

    • Mathematics

The Divine Proportion


Author: H. E. Huntley
Publisher: Courier Corporation
ISBN: 0486131874
Category: Mathematics
Page: 208
View: 6426
Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

    • History

Mathematical Theologies

Nicholas of Cusa and the Legacy of Thierry of Chartres
Author: David Albertson
Publisher: Oxford University Press (UK)
ISBN: 0199989737
Category: History
Page: 483
View: 8442
Mathematical Theologies uncovers the lost history of Christianity's encounters with Pythagorean religious ideas before the Renaissance. David Albertson shows that the writings of Thierry of Chartres (d. 1157) and Nicholas of Cusa (d. 1464) represent a robust Christian Neopythagoreanism that reconceived the Trinity and the Incarnation within the framework of Greek number theory. Their sophisticated mathematical theologies challenge contemporary assumptions about the relation of religion and modern science. David Albertson surveys the slow formation of Neopythagorean theologies of the divine One from the Old Academy through Middle Platonism into the Middle Ages. Against this backdrop, Thierry of Chartres's writings stand out as the first authentic retrieval and incorporation of Neopythagoreanism within western Christianity. By reading Boethius and Augustine against the grain, Thierry reactivated a suppressed potential in ancient Christian traditions that harmonized the divineWord with notions of divine Number. Despite fame during his lifetime, Thierry's ideas remained well outside the medieval mainstream. Nicholas rediscovered anonymous fragments of Thierry and his medieval readers, and drew on them liberally in his first mystical treatise. Yet tensions among this collection of sources drove Cusanus to try to reconcile their competing understandings of Word and Number. Over three decades Nicholas eventually learned how to articulate traditional Christian dogmas within a Neopythagorean cosmology of mathematized nature - anticipating the situation of modern Christian thought after the seventeenth century. Mathematical Theologies skillfully guides readers through the newest scholarship on Pythagoreanism, the school of Chartres, and Cusanus, while revising some of the categories that have separated those fields in the past.

    • Mathematics

Mathematics

The Loss of Certainty
Author: Morris Kline
Publisher: Oxford University Press, USA
ISBN: 9780195030853
Category: Mathematics
Page: 366
View: 5827
Refuting the accepted belief that mathematics is exact and infallible, the author examines the development of conflicting concepts of mathematics and their implications for the physical, applied, social, and computer sciences

    • History

Naming Infinity

A True Story of Religious Mysticism and Mathematical Creativity
Author: Loren Graham,Jean-Michel Kantor
Publisher: Harvard University Press
ISBN: 0674032934
Category: History
Page: 239
View: 9693
Looks at the competition between French and Russian mathematicians over the nature of infinity during the twentieth century.

    • Mathematics

Is God a Mathematician?


Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 9781416594437
Category: Mathematics
Page: 320
View: 395
Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

    • Religion

Mathematics Through the Eyes of Faith


Author: Russell Howell,James Bradley
Publisher: Harper Collins
ISBN: 0062094912
Category: Religion
Page: 256
View: 9222
Book description to come.

    • Religion

Divine Knowledge

Buddhist Mathematics According to the Anonymous Manual of Mongolian Astrology and Divination
Author: Brian Gregory Baumann
Publisher: BRILL
ISBN: 9004155759
Category: Religion
Page: 890
View: 4567
In an original and compelling examination of traditional mathematics, this comprehensive study of the anonymous "Manual of Mongolian Astrology and Divination" (published by A. Mostaert in 1969) takes on the fundamental problem of the post-enlightenment categorization of knowledge, in particular the inherently problematic realms of religion and science, as well as their subsets, medicine, ritual, and magic. In the process of elucidating the rhetoric and logic shaping this manual the author reveals not only the intertwined intellectual history of Eurasia from Greece to China but also dismantles many of the discourses that have shaped its modern interpretations.

    • Science

Poetry of the Universe


Author: Robert Osserman
Publisher: Anchor
ISBN: 0307790584
Category: Science
Page: 224
View: 2117
In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.

    • Science

A Beginner's Guide to Constructing the Universe

The Mathematical Archetypes of Nature, Art, and Science
Author: Michael S. Schneider
Publisher: Harper Collins
ISBN: 0062043161
Category: Science
Page: 384
View: 3560
The Universe May Be a Mystery, But It's No Secret Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round. Why one and two weren't considered numbers by the ancient Greeks. Why squares show up so often in goddess art and board games. What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster and a cathedral. And much more.

    • Religion

The Bhāgavata Purāna

Sacred Text and Living Tradition
Author: Ravi M. Gupta,Kenneth R. Valpey
Publisher: Columbia University Press
ISBN: 0231531478
Category: Religion
Page: 288
View: 9216
A vibrant example of living literature, the Bhagavata Purana is a versatile Hindu sacred text written in Sanskrit verse. Finding its present form by the tenth century C.E., the work inspired several major north Indian devotional (bhakti) traditions as well as schools of dance and drama, and continues to permeate popular Hindu art and ritual in both India and the diaspora. Introducing the Bhagavata Purana's key themes while also examining its extensive influence on Hindu thought and practice, this collection conducts the first multidimensional reading of the entire text. Each essay focuses on a key theme of the Bhagavata Purana and its subsequent presence in Hindu theology, performing arts, ritual recitation, and commentary. The authors consider the relationship between the sacred text and the divine image, the text's metaphysical and cosmological underpinnings, its shaping of Indian culture, and its ongoing relevance to contemporary Indian concerns.

    • History

Chinese Mathematical Astrology

Reaching Out to the Stars
Author: Ho Peng Yoke
Publisher: Routledge
ISBN: 1134430671
Category: History
Page: 232
View: 3736
Though there are a number of well-written works on Chinese divination, there are none that deal with the three sophisticated devices that were employed by the Chinese Astronomical Bureau in the eleventh century and for hundreds of years thereafter. Chinese experts applied the methods associated with these devices to both weather forecasting and to the interpretation of human affairs. Hidden by a veil of secrecy, these methods have always been relatively little known other than by their names. The first work in any language to explore these three methods, known as sanshi (three cosmic boards), this book sheds light on a topic which has been shrouded in mystery for centuries, having been kept secret for many years by the Chinese Astronomical Bureau.

    • Philosophy

Divine Machines

Leibniz and the Sciences of Life
Author: Justin E. H. Smith
Publisher: Princeton University Press
ISBN: 9781400838721
Category: Philosophy
Page: 392
View: 1822
Though it did not yet exist as a discrete field of scientific inquiry, biology was at the heart of many of the most important debates in seventeenth-century philosophy. Nowhere is this more apparent than in the work of G. W. Leibniz. In Divine Machines, Justin Smith offers the first in-depth examination of Leibniz's deep and complex engagement with the empirical life sciences of his day, in areas as diverse as medicine, physiology, taxonomy, generation theory, and paleontology. He shows how these wide-ranging pursuits were not only central to Leibniz's philosophical interests, but often provided the insights that led to some of his best-known philosophical doctrines. Presenting the clearest picture yet of the scope of Leibniz's theoretical interest in the life sciences, Divine Machines takes seriously the philosopher's own repeated claims that the world must be understood in fundamentally biological terms. Here Smith reveals a thinker who was immersed in the sciences of life, and looked to the living world for answers to vexing metaphysical problems. He casts Leibniz's philosophy in an entirely new light, demonstrating how it radically departed from the prevailing models of mechanical philosophy and had an enduring influence on the history and development of the life sciences. Along the way, Smith provides a fascinating glimpse into early modern debates about the nature and origins of organic life, and into how philosophers such as Leibniz engaged with the scientific dilemmas of their era.

    • History

The Changing Image of the Sciences


Author: Ida H. Stamhuis,Teun Koetsier,Cornelis De Pater,Albert Van Helden
Publisher: Springer Science & Business Media
ISBN: 9401005877
Category: History
Page: 226
View: 422
This volume is written as a reaction to the worldwide decreasing interest in the natural sciences. It addresses many intriguing questions. How is the changing image of the distinct sciences experienced by the general public, by the scientists themselves, or in disciplines in which natural sciences are applied? How can it be connected to the phenomenon of the low number of women in science? It is of interest to researchers, teachers, and students of natural sciences, the history of science, and philosophy.

    • Religion

Our Distance from God

Studies of the Divine and the Mundane in Western Art and Music
Author: James D. Herbert
Publisher: Univ of California Press
ISBN: 0520933966
Category: Religion
Page: 220
View: 4057
In this encounter between reflections on Christian theology and the history of art and music, James D. Herbert considers how specific works of art establish a relation between the divine and the earthbound audiences for whom the art was created. He looks at five case studies over four centuries: the architecture and artworks that glorified Louis XIV at Versailles, the interaction of libretto and music in Richard Wagner's Ring of the Nibelung, Claude Monet's enormous paintings of water lilies mounted at the Orangerie of Paris in 1927, the inaugural performance in 1962 of Benjamin Britten's War Requiem at the new Anglican cathedral in Coventry, and Robert Wilson's recent installation based on the Passion, 14 Stations.

    • Religion

Divine Foreknowledge and Human Freedom

The Coherence of Theism : Omniscience
Author: William Lane Craig
Publisher: BRILL
ISBN: 9789004092501
Category: Religion
Page: 360
View: 691
The ancient problem of fatalism, more particularly theological fatalism, has resurfaced with surprising vigour in the second half of the twentieth century. Two questions predominate in the debate: (1) Is divine foreknowledge compatible with human freedom and (2) How can God foreknow future free acts? Having surveyed the historical background of this debate in "The Problem of Divine Foreknowledge" and "Future Contingents from Aristotle to Suarez" (Brill: 1988), William Lane Craig now attempts to address these issues critically. His wide-ranging discussion brings together a thought- provoking array of related topics such as logical fatalism, multivalent logic, backward causation, precognition, time travel, counterfactual logic, temporal necessity, Newcomb's Problem, middle knowledge, and relativity theory. The present work serves both as a useful survey of the extensive literature on theological fatalism and related fields and as a stimulating assessment of the possibility of divine foreknowledge of future free acts.

    • Religion

The Divine Challenge

On Matter, Mind, Math, and Meaning
Author: John Byl
Publisher: Banner of Truth
ISBN: 9780851518879
Category: Religion
Page: 317
View: 4311
Since the Beginning of time man has challenged God's supremacy, striving to dethrone God and reinterpret the universe according to his own standards and purposes. In response God, who is determined to destroy the wisdom of the worldly wise and to unmask it for the foolishness that it really is, issues his own challenge to sinful man. Arrogantly, modern scientific man takes up that divine challenge, arming himself with scientific knowledge and technological power. Indeed, man has convinced himself that this rational wisdom has made foolish the wisdom of Scripture, with its tall tales of a personal God, of life after death, and of heaven and hell. 'Such notions', Einstein declared, 'are for the fears or absurd egoism of feeble souls.' John byl argues that the Christian worldview provides the only foundation for logic, mathematics, science and morality. The Divine Challenge aims to substantiate this bold claim. Byl shows the failure of today's predominant philosophies to provide a coherent worldview that can yield a plausible account of the various aspects of life as we experience it.

    • Religion

Human and Divine Being

A Study on the Theological Anthropology of Edith Stein
Author: Donald Wallenfang
Publisher: Wipf and Stock Publishers
ISBN: 1498293379
Category: Religion
Page: 274
View: 6916
Nothing is more dangerous to be misunderstood than the question, "What is the human being?" In an era when this question is not only being misunderstood but even forgotten, wisdom delivered by the great thinkers and mystics of the past must be recovered. Edith Stein (1891-1942), a Jewish Carmelite mystical philosopher, offers great promise to resume asking the question of the human being. In Human and Divine Being, Donald Wallenfang offers a comprehensive summary of the theological anthropology of this heroic martyr to truth. Beginning with the theme of human vocation, Wallenfang leads the reader through a labyrinth of philosophical and theological vignettes: spiritual being, the human soul, material being, empathy, the logic of the cross, and the meaning of suffering. The question of the human being is asked in light of divine being by harnessing the fertile tension between the methods of phenomenology and metaphysics. Stein spurs us on to a rendezvous with the stream of "perennial philosophy" that has watered the landscape of thought since conscious time began. In the end, the meaning of human being is thrown into sharp relief against the darkness of all that is not authentically human.

    • Mathematics

Divine proportions

rational trigonometry to universal geometry
Author: N.J. Wildberger,Norman John Wildberger
Publisher: N.A
ISBN: 9780975749203
Category: Mathematics
Page: 300
View: 7675
"... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.

    • Mathematics

Equations from God

Pure Mathematics and Victorian Faith
Author: Daniel J. Cohen
Publisher: JHU Press
ISBN: 0801891868
Category: Mathematics
Page: 256
View: 9755
Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies. -- Timothy Larsen