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In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.
This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.
Are art and science separated by an unbridgeable divide? Can they find common ground? In this new book, neuroscientist Eric R. Kandel, whose remarkable scientific career and deep interest in art give him a unique perspective, demonstrates how science can inform the way we experience a work of art and seek to understand its meaning. Kandel illustrates how reductionism—the distillation of larger scientific or aesthetic concepts into smaller, more tractable components—has been used by scientists and artists alike to pursue their respective truths. He draws on his Nobel Prize-winning work revealing the neurobiological underpinnings of learning and memory in sea slugs to shed light on the complex workings of the mental processes of higher animals. In Reductionism in Art and Brain Science, Kandel shows how this radically reductionist approach, applied to the most complex puzzle of our time—the brain—has been employed by modern artists who distill their subjective world into color, form, and light. Kandel demonstrates through bottom-up sensory and top-down cognitive functions how science can explore the complexities of human perception and help us to perceive, appreciate, and understand great works of art. At the heart of the book is an elegant elucidation of the contribution of reductionism to the evolution of modern art and its role in a monumental shift in artistic perspective. Reductionism steered the transition from figurative art to the first explorations of abstract art reflected in the works of Turner, Monet, Kandinsky, Schoenberg, and Mondrian. Kandel explains how, in the postwar era, Pollock, de Kooning, Rothko, Louis, Turrell, and Flavin used a reductionist approach to arrive at their abstract expressionism and how Katz, Warhol, Close, and Sandback built upon the advances of the New York School to reimagine figurative and minimal art. Featuring captivating drawings of the brain alongside full-color reproductions of modern art masterpieces, this book draws out the common concerns of science and art and how they illuminate each other.
Over the last 30 or 40 years a substantial literature has grown up in which the tools of economic theory and analysis have been applied to problems in the arts and culture. Economists who have surveyed the field generally locate the origins of contemporary cultural economics as being in 1966, the year of publication of the first major work in modern times dedicated specifically to the economics of the arts. It was a book by Baumol and Bowen which showed that economic analysis could illuminate the supply of and demand for artistic services, the contribution of the arts sector to the economy, and the role of public policy. Following the appearance of the Baumol and Bowen work, interest in the economics of the arts grew steadily, embracing areas such as demand for the arts, the economic functions of artists, the role of the nonprofit sector, and other areas. Cultural economics also expanded to include the cultural or entertainment industries (the media, movies, the publishing industry, popular music), as well as heritage and museum management, property right questions (in particular copyright) and the role of new communication technologies such as the internet. The field is therefore located at the crossroads of several disciplines: economics and management, but also art history, art philosophy, sociology and law. The Handbook is placed firmly in economics, but it also builds bridges across these various disciplines and will thus be of interest to researchers in all these different fields, as well as to those who are engaged in cultural policy issues and the role of culture in the development of our societies. *Presents an overview of the history of art markets *Addresses the value of art and consumer behavior toward acquiring art *Examines the effect of art on economies of developed and developing countries around the world
Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us. But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe, Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals. Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance. This book is an education in the world and everything we can't see within it. Contains numerous b&w photos and illustrations.
The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.
Artistic residency has become widely adopted in Western countries while only recently having become popular and well-supported within Taiwan. This book explores the challenges that this form of art practice faced in contemporary Taiwan from the revocation of Martial Law in 1987 to the 2000s—arguably one of the most exciting periods in the sociocultural history of the island. Case studies show what is at stake politically, historically, and socially in artists’ endeavours to give shape to a sense of Taiwanese identity. Despite the prevalence of artists engaged in social issues in today’s world and the undeniable contributions of artistic residency to contemporary art practice, little literature or scholarly research has been conducted on the practical, conceptual, and ideological aspects of artist residency. Very often, it is perceived in very narrow terms, overlooking explicit or hidden issues of localism, nationalism and globalization. If artistic residence did indeed emerge from the radical movements of the 1960s and 70s in the Western world—and especially Britain—then this book argues that the contemporary sociocultural context of Taiwan calls for redefined, culturally-specific models of residency. The precarious geo-political situation of Taiwan has made issues of cultural identity—tackled by artists and successive governments alike—very sensitive. A new genre of artistic residence in Taiwan would mean that artists involved from whatever cultural background operate as engaging interpreters; their roles would not be confined to mirroring culture and society. These artists-in-residence would contribute to cultural awakening by offering ways of negotiating creatively with otherness, and this for the sake of a better social life and shared identity.
#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.
Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.
Is the most important language in the universe also capable of making us happy in simple and profound ways? Can we really weave the foundations of lifelong joy—humility, gratitude, connection, etc.—through the apparent complexity of numbers? Have we oversold the practicality of mathematics, while ignoring its larger and more human purposes—happiness? In Pi of Life: The Hidden Happiness of Mathematics, Sunil Singh takes the readers on a unique adventure, discovering that all the elements that are essential for lifelong happiness are deeply intertwined with the magic of mathematics. Blending classic wisdom with over 100 pop culture references—music, television and film—Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. Written with charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics—our personal happiness.