In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    The fundamental questions are answered, leaving only the details to be filled in. In this book, Dr Rupert Sheldrake, one of the world's most innovative scientists, shows that science is being constricted by assumptions that have hardened into dogmas. The 'scientific worldview' has become a belief system. All reality is material or physical. The world is a machine, made up of dead matter. Nature is purposeless. Consciousness is nothing but the physical activity of the brain. Free will is an illusion. God exists only as an idea in human minds, imprisoned within our skulls. Sheldrake examines these dogmas scientifically, and shows persuasively that science would be better off without them: freer, more interesting, and more fun.In The God Delusion Richard Dawkins used science to bash God, but here Rupert Sheldrake shows that Dawkins' understanding of what science can do is old-fashioned and itself a delusion.

    Captioned cartoon drawings offering an overview of universal order as they deal with various phenomena are combined with scientific commentary

    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.

    In his Introduction John Gray describes these essays as applications of Mill's doctrine of the Art of Life, as set out in A System of Logic. Using the resources of recent scholarship, he shows Mill's work to be far richer and subtler than traditional interpretations allow.

    These new discoveries are part of an old tradition. In the seventeenth century the philosopher Thomas Hobbes, dismayed by the impending civil war in England, decided that he would work out what kind of government was needed for a stable society. His solution sparked a new way of thinking about human behavior in looking for the "scientific" rules of society.Adam Smith, Immanuel Kant, Auguste Comte, and John Stuart Mill pursued this idea from different political perspectives. But these philosophers lacked the tools that modern physics can now bring to bear on the matter. Philip Ball shows how, by using these tools, we can understand many aspects of mass human behavior. Once we recognize that we do not make most of our decisions in isolation but are affected by what others decide, we can start to discern a surprising and perhaps even disturbing predictability in our laws, institutions, and customs.Lively and compelling, Critical Mass is the first book to bring these new ideas together and to show how they fit within the broader historical context of a rational search for better ways to live.

    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.

    A favorite of Tesla and SpaceX founder Elon Musk, listeners will want to tune into this "really good book on rocket[s]," available for the first time in audio. Ignition! is the story of the search for a rocket propellant which could be trusted to take man into space. This search was a hazardous enterprise carried out by rival labs who worked against the known laws of nature, with no guarantee of success or safety. Acclaimed scientist and sci-fi author John Drury Clark writes with irreverent and eyewitness immediacy about the development of the explosive fuels strong enough to negate the relentless restraints of gravity. The resulting volume is as much a memoir as a work of history, sharing a behind-the-scenes view of an enterprise that eventually took men to the moon, missiles to the planets, and satellites to outer space. A classic work in the history of science, listeners will want to get their hands on this influential classic, available for the first time in decades.

    It identifies ten types of supposed truth and explains how easily each can become the midwife of falsehood. There is no species of truth that we can rely on unquestioningly, but that does not mean the truth can never be established. Attaining truth is an achievement we need to work for, and each chapter will end up with a truth we can have some confidence in.This history builds into a comprehensive and clear explanation of why truth is now so disputed by exploring 10 kinds of truth:1. Eternal truths.2. Authoritative truths.3. Esoteric truths.4. Reasoned truths.5. Evidence-based truths.6. Creative truths.7. Relative truths. 8. Powerful truths9. Moral truths.10. Holistic truths. Baggini provides us with all we need to restore faith in the value and possibility of truth as a social enterprise. Truth-seekers need to be sceptical not cynical, autonomous not atomistic, provisional not dogmatic, open not empty, demanding not unreasonable.

    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.

    Peirce's theories of pragmatism as a basis for his own conception of that influential philosophy. For James, this meant an emphasis on "radical empiricism" and the concept that the meaning of any idea — philosophical, political, social, or otherwise — has validity only in terms of its experiential and practical consequences. James propounded his theories of pragmatism in this book, one of the most important in American philosophy. In a sense, he wished to test competing systems of thought in the "marketplace of actual experience" to determine their validity, i.e. whether adopting a particular philosophical theory or way of looking at the world makes an actual difference in individual conduct or in how we perceive and react to the varieties of experience. In these pages, James not only makes a strong case for his own ideas, but mounts a powerful attack against the transcendental and rationalist tradition.For anyone interested in William James or the history of American philosophical thought, Pragmatism is an essential and thought provoking reference. In this handy, inexpensive edition, it will challenge and stimulate any thinking person.

    These theories are not only untrue, it is not even science. It is fairy-tale physics: fantastical, bizarre and often outrageous, perhaps even confidence-trickery.This book provides a much-needed antidote. Informed, comprehensive, and balanced, it offers lay readers the latest ideas about the nature of physical reality while clearly distinguishing between fact and fantasy. With its engaging portraits of many central figures of modern physics, including Paul Davies, John Barrow, Brian Greene, Stephen Hawking, and Leonard Susskind, it promises to be essential reading for all readers interested in what we know and don't know about the nature of the universe and reality itself.

    Monk's life of Wittgenstein is such a one."--"The Christian Science Monitor."

    He suggests that seeing ourselves as animals may lead us to find reasons for treating others as less than human.

    Asimov takes the reader on a rousing mental trip into the world of mathematics, physics, chemistry, biology, and astronomy.