Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Out of Control chronicles the dawn of a new era in which the machines and systems that drive our economy are so complex and autonomous as to be indistinguishable from living things.

    Science has seen its fair share of punch-ups over the years, but one debate, in the field of biology, has become notorious for its intensity. Over the last twenty years, Richard Dawkins and Stephen Jay Gould have engaged in a savage battle over evolution, which continues to rage even after Gould's death in 2002. Kim Sterelny moves beyond caricature to expose the real differences between the conceptions of evolution of these two leading scientists. He shows that the conflict extends beyond evolution to their very beliefs in science itself; and, in Gould?s case, to domains in which science plays no role at all.

    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, informationtheory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literallyunimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books.Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

    Now, in one of his most extraordinary journeys, Narby travels the globe-from the Amazon Basin to the Far East-to probe what traditional healers and pioneering researchers understand about the intelligence present in all forms of life.Intelligence in Nature presents overwhelming illustrative evidence that independent intelligence is not unique to humanity alone. Indeed, bacteria, plants, animals, and other forms of nonhuman life display an uncanny penchant for self-deterministic decisions, patterns, and actions.Narby presents the first in-depth anthropological study of this concept in the West. He not only uncovers a mysterious thread of intelligent behavior within the natural world but also probes the question of what humanity can learn from nature's economy and knowingness in its own search for a saner and more sustainable way of life.

    This world of total human experience is the world that is (or at least ought to be) reflected and molded by the arts, above all by the art of literature. "What is the function of literature," Mr. Huxley asks, "what its psychology, what the nature of literary language? And how do its function, psychology and language differ from those of science? What in the past has been the relationship between literature and science? What is it now? What might it be in the future? And what would it be profitable, artistically speaking, for a twentieth-century man of letters to do about twentieth-century science?"Ours is the Age of Science; but from a study of the best contemporary literature one would find it difficult to infer this most obvious of facts. Contemporary poetry, drama and fiction contain remarkably few references to contemporary science—few references even to the metaphysical and ethical problems which contemporary science has raised. That this state of affairs should somehow be remedied is the theme of every recent discussion of "the Two Cultures." unfortunately most of these discussions have been carried on in abstract terms and with almost no citations of case histories, no references to the concrete problems of literary and scientific writing, no illustrative examples. Mr. Huxley has approached the subject in a different way. He deals with specific questions in the fields of immediate experience, of conceptualization, of philosophical interpretation and of verbal expression; and he illustrates these wide-ranging themes with copious quotations, drawn from a great variety of sources. He analyzes the nature of literary language and contrasts its many-meaninged richness with the simplified and jargonized language of science. He shows how the poets of earlier centuries made use of the scientific knowledge available to them. He gives examples of the ways in which modern science has modified and added to the traditional raw materials of literature. And he concludes with a speculative discussion of the ways in which future men of letters may work up the raw materials of brand new fact and revolutionary hypothesis provided by science, transfiguring them into a new kind of literature, capable of expression and at the same time coordinating and giving significance to the totality of an ever-widening human experience.

    Written for the non-scientist, Gaia is a journey through time and space in search of evidence with which to support a new and radically different model of our planet. In contrast to conventional belief that living matter is passive in the face of threats to its existence, the book explores the hypothesis that the earth's living matter-air, ocean, and land surfaces-forms a complex system that has the capacity to keep the Earth a fit place for life. Since Gaia was first published, many of Jim Lovelock's predictions have come true, and his theory has become a hotly argued topic in scientific circles. Here, in a new Preface, Lovelock outlines his present state of the debate.

    He believes that we should investigate what makes some countries more capable than others. Complex products—from films to robots, apps to automobiles—are a physical distillation of an economy’s knowledge, a measurable embodiment of its education, infrastructure, and capability. Economic wealth accrues when applications of this knowledge turn ideas into tangible products; the more complex its products, the more economic growth a country will experience.A radical new interpretation of global economics, Why Information Grows overturns traditional assumptions about the development of economies and the origins of wealth and takes a crucial step toward making economics less the dismal science and more the insightful one.