Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    

    Rare Book

    Introducing Philosophy: A Text with Integrated Readings, Eighth Edition, insists both that philosophy is very much alive today and that it is deeply rooted in the past. Accordingly, it combines substantial original sources from significant works in the history of philosophy and current philosophy with detailed commentary and explanation that help to clarify the readings. The selections range from the oldest known fragments to cutting-edge essays in feminism, multiculturalism, and cognitive science. At the end of each chapter is a summary, a list of review questions, a glossary, and a bibliography with suggestions for further reading. Important philosophical terms are carefully introduced in the text and also summarized at the end of each chapter, and brief biographies of the philosophers are provided at the end of the book. New to the Eighth Edition * Addressing the needs of a new generation of students, Robert C. Solomon has included for the first time more than 300 study and review questions. Appearing throughout the text and at the end of each chapter, these questions require immediate feedback from students. They encourage students to articulate the central ideas of what they have just read, instead of just "passing through" on the way to the next reading. * New selections expand and update the chapters on religion, knowledge, mind and body, freedom, ethics, justice, and beauty. The selections include work by Charles Hartshorne, Paul Davies, Cory Juhl, Friedrich Nietzsche, Jean-Paul Sartre, Sextus Empiricus, Edmund L. Gettier, David Braddon-Mitchell and Frank Jackson, John R. Searle, Colin McGinn, Daniel Dennett, Harry Frankfurt, Gilbert Harman, Emma Goldman, and Arthur C. Danto. * A companion website at www.oup.com/us/solomon8e features 300 study and review questions (100 multiple-choice, 100 true-or-false, and 100 fill-in-the-blank), discussion questions, chapter overviews and summaries, topical links, suggestions for further reading, and PowerPoint lecture aids.

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    Indeed, if God knows everything, why do we need to learn through pain and suffering? If God is omnipotent, why are we needed to do good? If the universe is fundamentally good, why are wars, crime, and injustice all around us? In modern society, orthodox science takes the rational high-ground and tackles these contradictions by denying the very need for, and the existence of, meaning. Indeed, many of us implicitly accept the notion that rationality somehow contradicts spirituality. That is a modern human tragedy, not only for its insidiousness, but for the fact that it is simply not true. In this book, the author constructs a coherent and logical argument for the meaning of existence, informed by science itself. A framework is laid out wherein all aspects of human existence have a logical, coherent reason and role, including the ones often perceived as negative. The powerful logic of this framework inescapably leads to insightful and inspiring guidelines for living a purposeful and meaningful life.

    . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

    As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.

    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.

     Written by Wayne Booth, author of the seminal book, The Rhetoric of Fiction (1961). Explores the consequences of bad rhetoric in education, in politics, and in the media. Investigates the possibility of reducing harmful conflict by practising a rhetoric that depends on deep listening by both sides.

    

    How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.