No graduate student of quantum theory should leave it unread"--W.C Schieve, University of Texas

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    His aim is to break down the fixed categories of thought which have always appeared to define and constrain the permissible solutions to these problems.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    Who else routinely interviews the likes of Lynn Margulis, Roger Penrose, Francis Crick, Richard Dawkins, Freeman Dyson, Murray Gell-Mann, Stephen Jay Gould, Stephen Hawking, Thomas Kuhn, Chris Langton, Karl Popper, Stephen Weinberg, and E.O. Wilson, with the freedom to probe their innermost thoughts?In The End Of Science, Horgan displays his genius for getting these larger-than-life figures to be simply human, and scientists, he writes, ”are rarely so human...so at ther mercy of their fears and desires, as when they are confronting the limits of knowledge.”This is the secret fear that Horgan pursues throughout this remarkable book: Have the big questions all been answered? Has all the knowledge worth pursuing become known? Will there be a final ”theory of everything” that signals the end? Is the age of great discoverers behind us? Is science today reduced to mere puzzle solving and adding detains to existing theories?Horgan extracts surprisingly candid answers to there and other delicate questions as he discusses God, Star Trek, superstrings, quarks, plectics, consciousness, Neural Darwinism, Marx's view of progress, Kuhn's view of revolutions, cellular automata, robots, and the Omega Point, with Fred Hoyle, Noam Chomsky, John Wheeler, Clifford Geertz, and dozens of other eminent scholars. The resulting narrative will both infuriate and delight as it mindles Horgan's smart, contrarian argument for ”endism” with a witty, thoughtful, even profound overview of the entire scientific enterprise.Scientists have always set themselves apart from other scholars in the belief that they do not construct the truth, they discover it. Their work is not interpretation but simple revelation of what exists in the empirical universe. But science itself keeps imposing limits on its own power. Special relativity prohibits the transmission of matter or information as speeds faster than that of light; quantum mechanics dictates uncertainty; and chaos theory confirms the impossibility of complete prediction. Meanwhile, the very idea of scientific rationality is under fire from Neo-Luddites, animal-rights acitivists, religious fundamentalists, and New Agers alike.As Horgan makes clear, perhaps the greatest threat to science may come from losing its special place in the hierarchy of disciplines, being reduced to something more akin to literaty criticism as more and more theoreticians engage in the theory twiddling he calls ”ironic science.” Still, while Horgan offers his critique, grounded in the thinking of the world's leading researchers, he offers homage too. If science is ending, he maintains, it is only because it has done its work so well.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    He maintains at the outset that the importance of a physical law isn't "how clever we are to have found it out, but...how clever nature is to pay attention to it" & tends his discussions toward a final exposition of the elegance & simplicity of all scientific laws. Rather than an essay on the most significant achievements in modern science, The Character of Physical Law is a statement of what is most remarkable in nature. His enlightened approach, wit & enthusiasm make this a memorable exposition of the scientist's craft. The Law of Gravitation is the principal example. Relating the details of its discovery & stressing its mathematical character, he uses it to demonstrate the essential interaction of mathematics & physics. He views mathematics as the key to any system of scientific laws, suggesting that if it were possible to fill out the structure of scientific theory completely, the result would be an integrated set of axioms. The principles of conservation, symmetry & time-irreversibility are then considered in relation to developments in classical & modern physics. In his final lecture he develops his own analysis of the process & future of scientific discovery. Like any set of oral reflections, The Character of Physical Law has value as a demonstration of a mind in action. The reader is particularly lucky in Feynman. One of the most eminent & imaginative modern physicists, he was Professor of Theoretical Physics at the California Institute of Technology until his death in 1988. He's best known for work on the quantum theory of the electromagnetic field, as well as for later research in the field of low-temperature physics. In 1954 he received the Albert Einstein Award for an "outstanding contribution to knowledge in mathematical & physical sciences"; in 1965 he was appointed to Foreign Membership in the Royal Society & was awarded the Nobel Prize.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    This handsome new edition of Stanley Cavell's landmark text, first published 20 years ago, provides a new preface that discusses the reception and influence of his work, which occupies a unique niche between philosophy and literary studies.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    The present volume is an outgrowth of that seminar, which dealt with the philosophical foundations of physics. Edited by Martin Gardner from transcripts of Carnap's classroom lectures and discussions, the book remains one of the clearest and soundest introductions to the philosophy of science.Specially designed to appeal to a wide range of readers, An Introduction to thePhilosophy of Science offers accessible coverage of such topics as laws and probability, measurement and quantitative language, the structure of space, causality and determinism, theoretical laws and concepts and much more. Stimulating and thought-provoking, the text will be of interest to philosophers, scientists and anyone interested in logical analysis of the concepts, statements and theories of science. Its clear and readable style help make it "the best book available for the intelligent reader who wants to gain some insight into the nature of contemporary philosophy of science" ― Choice. Foreword to the Basic Books Paperback Edition, 1974 (Gardner); Preface (Carnap); Foreword to the Dover Edition (Gardner). 35 black-and-white illustrations. Bibliography.

    As exciting as any action/adventure novel, this is actually the story of incredible individuals and engrossing tales behind the most profound, enduring mathematical theorems.Archimedes famously ran naked through the streets shouting, “Eureka, eureka!” after finding a method for measuring the volume of an irregular-shaped object. René Descartes was not only a great French mathematician, philosopher, physicist, and natural scientist; he was also an expert swordsman who traveled with European armies from town to town, dressed in green taffeta and accompanied by a valet. Georg Cantor grappled with mental illness as he explored the highly counterintuitive, bizarre properties of infinite sets and numbers. Emmy Noether struggled to find employment as she laid the mathematical groundwork for modern theoretical physics. And Alexander Grothendieck taught himself mathematics while interned in Nazi concentration camps, only to disappear into the Pyrenees at the zenith of his career.These are just a few stories recounted in this absorbing narrative. In probing the lives of the preeminent mathematicians in history, a Strange Wilderness will leave you entertained and enlightened, with a newfound appreciation of the tenacity, complexity, and brilliance of the mathematical genius.

    In contrast, Karl Popper's seminal book "The Logic of Scientific Discovery" has lapsed into relative obscurity. Although the two men debated the nature of science only once, the legacy of this encounter has dominated intellectual and public discussions on the topic ever since.Almost universally recognized as the modern watershed in the philosophy of science, Kuhn's relativistic vision of shifting paradigms--which asserted that science was just another human activity, like art or philosophy, only more specialized--triumphed over Popper's more positivistic belief in science's revolutionary potential to falsify society's dogmas. But has this victory been beneficial for science? Steve Fuller argues that not only has Kuhn's dominance had an adverse impact on the field but both thinkers have been radically misinterpreted in the process. This debate raises a vital question: Can science remain an independent, progressive force in society, or is it destined to continue as the technical wing of the military-industrial complex? Drawing on original research--including the Kuhn archives at MIT--Fuller offers a clear account of "Kuhn vs. Popper" and what it will mean for the future of scientific inquiry.