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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.
Sal Restivo's book is a major achievement in the sociology of science and mathematics. It is exciting to read and constitutes a creative, wide-ranging exploration of the connections between physics and mysticism, between the natural science and the humanities. Of particular interest is his attempt to show the emergence of abstraction and of formal disciplines in science by relating them to the structure of social interests in society. All told, this book challenges the separation of C.P. Snow's two cultures' and is an original attempt to overcome the chasms between the natural sciences, the humanities, and the social sciences. The implications of the book's content certainly go far beyond its title.' Prof. W. Heydebrand, New York University
Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.
The Math Mystic’s Guide to Creative Spirituality is unique, provocative, engaging, and a masterpiece of philosophical and mystical exploration. It offers gourmet treats for those with spiritual hunger, a feast of innovative perspectives on building social collateral (trust, forgiveness, resilience . . .), and intellectual desserts for the mathematically inclined. User-friendly for the non-mathematician, the book also provides a smorgasbord of resources for those who want to know more about the math. Deeply personal but also scholarly, with an unprecedented use of mathematical metaphors, this book will appeal to mathematicians, scientists, teachers, philosophers, religious educators, and spiritual seekers of many persuasions. A math professor before becoming a Unitarian Universalist minister, the author has compiled herein a lifetime of creative study about the relationship between math and religion. She has pioneered ways to use mathematics to help clarify such spiritual ideas as God, fairness, equality, redemption, and the nature of things. In the process she coined the terms “matheology” and “mathaphor,” introduced the notion of math sermons, and has expanded the concept of moral math. This exciting collection of essays (with a little poetry as garnish) uses math as a language to nourish the spiritual heart of our global society.
"This book embarks on scholarly investigations of mystical phenomena, including shamanism, near-death experiences, and the paranormal. Contributors address queries such as why religious experiences are ineffable, what the explanatory mechanisms of altered states of consciousness are, and how literature and art express the mystical"--
Eagerly awaited, the new edition of this successful text is now available in paperback. Maxwell's Demon is a character in an 1867 thought experiment by the Scottish physicist James Clerk Maxwell, meant to raise questions about the second law of thermodynamics. This book explains the connection between Maxwell's Demon and the role of the observer and quantum eraser, showing that information science, thermodynamics and quantum physics are closely related. We often hear phrases like quantum weirdness and the strange world of the quantum. A fact that is not so widely appreciated is that quantum mechanics can (and does) shed light on problems such as the Maxwell Demon Paradox of thermodynamics, the seemingly spiritual nature of information, and even, perhaps, new insights into the existence of Mind! The common denominator of all this is the fact that information is a real physical quantity. Information is more than something just in our mind; it is the essence of, and in many ways more general than the concept of entropy. By focusing on entropy, information, and observation, the authors bring a unique perspective to this subject, and offer insight into the strange ways of the quantum which will not only fascinate scientists but lay persons as well. Key features of the new paperback edition: Explains the connection between Maxwell's Demon and the role of the observer Takes a completely new approach to quantum mechanics and quantum information theory which is of interest to students from undergraduate level onwards as well as researchers and lay persons Written by two authors who approach the topic from two different angles and combine both the scholar's and the layperson's perspective in a most interesting and enjoyable fashion Treats central concepts such as entropy, information and intelligence in a comprehensible and entertaining way Includes fresh biographical material on key researchers like Planck, Schrödinger, and others is presented at the beginning of each chapter Mathematical formulae have been removed and replaced by a history of famous Erwin Schrödinger Praise for the previous edition: "The Demon and the Quantum is accessible to a large spectrum of readers of PHYSICS TODAY; it is worthwhile reading?" Physics Today
"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
The problems I address in this book are among the least studied in the soci ology of science and knowledge. Part I is a critique of the claim that there are parallels between ancient mysticism and modern physics, and a sociological analysis of this claim as a strategy in intellectual conflict. This study must. ultimately be rooted more firmly in a: type of sociology of knowledge that is just now beginning to crystallize (and which I discuss in Chapter 7), and a sociology of religion that is not so much unknown as underground, and timid, that is, a non-worshipful materialist sociology of religion. My study of physics-mysticism parallelism is a vehicle for exploring epistemic strategies. I thus conclude Part I by sketching a materialist, emancipatory epistemic strategy. My conclusion brings together a number of ideas formulated by myself and others over the past several years, but stops short of a systematic synthesis. A more integrated and coherent "model" than what I can sketch here must wait on the results of research now in progress in the critical (as opposed to apologetic or worshipful) sociology of knowledge.
In the fog of a Paris dawn in 1832, ƒvariste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.