In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    It it impossible is to resist quoting passages from this novel, given the author’s brilliant insights into character, wonderful literary flourishes and stunning demonstration of what is meant by inspired writing." - Humber School for Writers. A savage, brilliant, hilarious attack on modern hypocrisy, "The God of Atheists" follows the downfall of three men who wake up one morning and decide to take what they have not earned. Al, a down-and-out music producer, bullies his handsome son into forming a boy-band. Alder, an obscure academic, steals a brilliant idea from a grad student. As they exploit the talents of the naïve youths around them, their fame and wealth increase – but they become more and more terrified of exposure and destruction...

    Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

    Now, in The Web of Life, he takes yet another giant step forward, offering a brilliant synthesis of such recent scientific breakthroughs as the theory of complexity, Gaia theory, and chaos theory. 25 line drawings.

    The eponymous riddle, according to legend, was devised by Albert Einstein as a child. He claimed that only about 2% of the population would be able to work out the correct answer. There are no tricks and there is only one answer. It requires the cool application of logic to solve. And a lot of patience.Einstein's Riddle features fifty of the toughest logic problems, lateral thinking puzzles, and tests of mental agility. By turns entertaining and infuriating, the puzzles challenge our preconceptions, tell us about how we reason, and provide a rigorous intellectual workout.

    In the realm of ethics, this corresponded to the philosophical tenet that to do what is ethical is to do what corresponds to an abstract set of rules. By contrast to this computationalism, the author places central emphasis on what he terms enaction--cognition as the ability to negotiate embodied, everyday living in a world that is inseparable from our sensory-motor capacities.Apart from his researches in cognitive science, the bodies of thought that enable Varela to make this link are phenomenology and two representatives of what he calls the wisdom traditions: Confucian ethics and Buddhist epistemology. From the Confucian tradition, he draws upon the Mencius to propose an ethics of praxis, one in which ethical action is conceived as a project of being rather than as a system of judgment, less a matter of rules that are universally applicable than a goal of expertise, sagehood.The Buddhist contribution to his project encompasses the embodiment of the void and the pragmatics of a virtual self. How does a belief system that does not posit a unitary self or subject conceive the living of an I? In summation, the author proposes an ethics founded on savoir faire that is a practice of transformation based on a constant recognition of the virtual nature of ourselves in the actual operations of our mental lives.

    'Paul,' he said, 'you have such strange ideas. Why don't you write them down? I shall write a reply, we publish the whole thing and I promise you—we shall have a lot of fun.' " Although Lakatos died before he could write his reply, For and Against Method reconstructs his original counter-arguments from lectures and correspondence previously unpublished in English, allowing us to enjoy the "fun" two of this century's most eminent philosophers had, matching their wits and ideas on the subject of the scientific method.For and Against Method opens with an imaginary dialogue between Lakatos and Feyerabend, which Matteo Motterlini has constructed, based on their published works, to synthesize their positions and arguments. Part one presents the transcripts of the last lectures on method that Lakatos delivered. Part two, Feyerabend's response, consists of a previously published essay on anarchism, which began the attack on Lakatos's position that Feyerabend later continued in Against Method. The third and longest section consists of the correspondence Lakatos and Feyerabend exchanged on method and many other issues and ideas, as well as the events of their daily lives, between 1968 and Lakatos's death in 1974.The delight Lakatos and Feyerabend took in philosophical debate, and the relish with which they sparred, come to life again in For and Against Method, making it essential and lively reading for anyone interested in these two fascinating and controversial thinkers and their immense contributions to philosophy of science."The writings in this volume are of considerable intellectual importance, and will be of great interest to anyone concerned with the development of the philosophical views of Lakatos and Feyerabend, or indeed with the development of philosophy of science in general during this crucial period."—Donald Gillies, British Journal for the Philosophy of Science (on the Italian edition)"A stimulating exchange of letters between two philosophical entertainers."—Tariq Ali, The IndependentImre Lakatos (1922-1974) was professor of logic at the London School of Economics. He was the author of Proofs and Refutations and the two-volume Philosophical Papers. Paul Feyerabend (1924-1994) was educated in Europe and held numerous teaching posts throughout his career. Among his books are Against Method; Science in a Free Society; Farewell to Reason; and Killing Time: The Autobiography of Paul Feyerabend, the last published by the University of Chicago Press.

    Fearlessly pondering life’s end, Holloway examines how doubts too often paralyze people. He explains, “A sentence is not finished till it has a full stop, and every life needs a dying to complete it … Our brief finitude is but a beautiful spark in the vast darkness of space. So we should live the fleeting day with passion and, when the night comes, depart from it with grace.” Written in the context of organized religion’s structural difficulties, Looking in the Distance is a highly personal and meditative work that helps us better understand the myriad ways in which the human search for wholeness and healing can be approached. Accessible, funny, inquisitive and ever hopeful, it will inspire all who read it.

    Tracing the exchange of ideas between history's key philosophers, The Great Conversation: A Historical Introduction to Philosophy, Fifth Edition, demonstrates that while constructing an argument or making a claim, one philosopher almost always has others in mind. The book addresses the fundamental questions of human life: Who are we? What can we know? How should we live? and What sort of reality do we inhabit? The fifth edition retains the distinctive feature of previous editions: author Norman Melchert provides a generous selection of excerpts from major philosophical works and makes them more easily understandable to students with his lucid and engaging explanations. Ranging from the Pre-Socratics to Derrida and Quine, the selections are organized historically and include four complete works: Plato's Euthyphro, Apology, and Crito, and Descartes' Meditations on First Philosophy. The author's commentary offers a rich intellectual and cultural context for the philosophical ideas conveyed in the excerpts. Extensive cross-referencing shows students how philosophers respond appreciatively or critically to the thoughts of other philosophers. The text is enhanced by two types of exercises--Basic Questions and For Further Thought--and more than sixty illustrations.New to the Fifth Edition: * A new chapter (25) on Simone de Beauvoir and her contributions to philosophy * New material on Buddhist, Muslim, and Jewish thinkers, including profiles of the Buddha, Avicenna (Ibn Sina), Averro�s (Ibn Rushd), and Maimonides (Moses ben Maimon) * A new profile of Jean-Jacques Rousseau * Improved translations of several of Plato's works, including Protagoras, Gorgias, Phaedo, Symposium, Meno, and the Republic * Review questions that are now dispersed throughout the chapters (instead of at chapter ends) to follow relevant passages and facilitate classroom discussion * Thirteen new images, including seven explanatory cartoons that help students understand key concepts * A revised Instructor's Manual and Test Bank--available both on CD and in a printed version--containing essential points, teaching suggestions, and multiple-choice, short-answer, and essay exam questionsThe Great Conversation, Fifth Edition, is also available in two paperback volumes to suit your course needs. Volume I: Pre-Socratics through Descartes includes chapters 1-13 of the combined volume, while Volume II: Descartes through Derrida and Quine includes chapters 12-26.

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    The author presents her groundbreaking research on adaptive and maladaptive cognitive-motivational patterns and shows: * How these patterns originate in people's self-theories* Their consequences for the person -- for achievement, social relationships, and emotional well-being* Their consequences for society, from issues of human potential to stereotyping and intergroup relations* The experiences that create themThis outstanding text is a must-read for researchers in social psychology, child development, and education, and is appropriate for both graduate and senior undergraduate students in these areas.

    In this elegant, witty, and ultimately profound meditation on what is beautiful, Crispin Sartwell begins with six words from six different cultures - ancient Greek's "to kalon," the Japanese idea of "wabi-sabi," Hebrew's "yapha," the Navajo concept "hozho," Sanskrit "sundara," and our own English-language "beauty." Each word becomes a door onto another way of thinking about, and looking at, what is beautiful in the world, and in our lives. The earthy and the exalted, the imperfect and the ideal: things, spaces, high art, sounds, aromas, nothingness. Sartwell writes about handfuls of beautiful things - among them, a Japanese teapot and Diana Rigg as Mrs. Emma Peel, the pleasure in a well-used hammer and in pop music and in Vermeer's "Girl in a Red Hat."In Sartwell's hands these six names of beauty -and there could be thousands more-are revealed as simple and profound ideas about our world and our selves.

    Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

    Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world--and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world--and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.

    Since David Horowitz wrote “The Shadow Party” in 2007, there has been a major breakthrough in the progression of Soros’ plan to racially change American institutions – he has succeeded in subverting and taking over the Democratic Party itself. Though Soros has carefully hidden his goals under the cloak of his philanthropy, Horowitz and John Perazzo expose Soros’ radical agenda in this booklet and show how his philanthropies actually work to advance his leftwing causes. Understanding the Soros agenda is critical for understanding and defeating the Obama agenda, because they have, in effect, become one in the same.