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Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
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Infinity and God have been close bedfellows over the recent millennia of human thought. But this is James A. Lindsay's point. These two ideas are thought, mere concepts. Lindsay shows in a concise and readable manner that infinity is an abstraction, and shows that, in all likelihood, so is God, particularly if he has infinite properties. This book is about math. It is about God. It is about stressing the importance of not confusing these two ideas with reality. Never the twain shall meet. "A short and engaging read on the meeting of two huge ideas, infinity and God, that leaves us seeing both as abstract ideas that may have nothing to do with reality. Honest and accessible, Dot, Dot, Dot is a great little book to stretch your thinking." - Peter Boghossian, author of A Manual for Creating Atheists "Timely, important and very readable, this book pulls the rug from under theists' feet." - Jonathan MS Pearce, The Little Book of Unholy Questions "Read this to avoid making any more cardinal sins and learn how much math is an amazing human endeavor." - Aaron Adair, PhD, The Star of Bethlehem: A Skeptical View
This book is an endlessly fascinating journey through a mathematician's looking glass.
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.
What does Christianity have to do with the study of mathematics? Prolific writer and scholar Vern Poythress offers a startling answer to this perplexing question: everything. This groundbreaking book argues that the harmony of abstract mathematical truths, the physical world of things, and the personal world of our thinking depends on the existence of the Christian God. With advanced degrees in mathematics and New Testament studies, Poythress shows that these distinct “perspectives” on mathematics cohere because all three find their origin in God’s consistent character and nature. Whether it’s simple addition and subtraction or more complex mathematical concepts such as set theory and the nature of infinity, this comprehensive book lays a theistic foundation for all mathematical inquiry.
The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22—24, 2015.
Art and science are not separate universes. This book explores this claim by showing how mathematics, geometry and numerical approaches contribute to the construction of works of art. This applies not only to modern visual artists but also to important artists of the past. To illustrate this, this book studies Leonardo da Vinci, who was both an engineer and a painter, and whose paintings can be perfectly modeled using simple geometric curves. The world gains intelligibility through elegant mathematical frameworks – from the projective spaces of painting to the most complex phase spaces of theoretical physics. A living example of this interdisciplinarity would be the sculptures of Jean Letourneur, a specialist in both chaos sciences and carving, as evidenced in his stonework. This book also exemplifies the geometry and life of forms through contemporary works of art – including fractal art – which have never before been represented in this type of work.
This text contains the illustrations of a numerical system that transcends all spoken languages. Within this book the symbols are translated into Chinese, Western Arabic, Devanagari, Eastern Arabic, Bengali, Tamil, and Thai numerals. Infinite numbers are broken down into a few intersecting lines and made comprehensible. All symbols are made up of connecting crucifixes.