It is also one of the best introductions to Deleuze's thought, establishing many of his central philosophical positions.In Nietzsche and Philosophy, Deleuze identifies and explores three crucial concepts in Nietzschean thought-multiplicity, becoming, and affirmation-and clarifies Nietzsche's views regarding the will to power, eternal return, nihilism, and difference. For Deleuze, Nietzsche challenged conventional philosophical ideas and provided a means of escape from Hegel's dialectical thinking, which had come to dominate French philosophy. He also offered a path toward a politics of difference. In this new edition, Michael Hardt's foreword examines the profound influence of Deleuze's provocative interpretations on the study of Nietzsche, which opened a whole new avenue in postwar thought.

    Using the dialogue form, a genre common in classical philosophical works, Galileo masterfully demonstrates the truth of the Copernican system over the Ptolemaic one, proving, for the first time, that the earth revolves around the sun. Its influence is incalculable. The Dialogue is not only one of the most important scientific treatises ever written, but a work of supreme clarity and accessibility, remaining as readable now as when it was first published. This edition uses the definitive text established by the University of California Press, in Stillman Drake’s translation, and includes a Foreword by Albert Einstein and a new Introduction by J. L. Heilbron.

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)

    Readers will find an enlightening history of the vacuum: how the efforts to make a better vacuum led to the discovery of the electron; the ideas of Newton, Mach, and Einstein on the nature of space and time; the mysterious aether and how Einstein did away with it; and the latest ideas that the vacuum is filled with the Higgs field. The story ranges from the absolute zero of temperature and the seething vacuum of virtual particles and anti-particles that fills space, to the extreme heat and energy of the early universe. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    DLC: Quantum theory.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    One of the most important philosophical works of our time, a work that has had tremendous influence on philosophy, literature, and psychology, and has literally changed the intellectual map of the modern world.

    Following in the footsteps of Christopher Hitchens, Roger Penrose, and even Stephen Hawking, Jim Holt now enters this fractious debate with his lively and deeply informed narrative that traces the latest efforts to grasp the origins of the universe. The slyly humorous Holt takes on the role of cosmological detective, suggesting that we might have been too narrow in limiting our suspects to Yahweh vs. the Big Bang. Tracking down an eccentric Oxford philosopher, a Physics Nobel Laureate, a French Buddhist monk who lived with the Dalai Lama, and John Updike just before he died, Holt pursues unexplored angles to this cosmic puzzle. As he pieces together a solution--one that sheds new light on the question of God and the meaning of existence--he offers brisk philosophical asides on time and eternity, consciousness, and the arithmetic of nothingness.“The pleasure of this book is watching the match: the staggeringly inventive human mind slamming its fantastic conjectures over the net, the universe coolly returning every serve.... Holt traffics in wonder, a word whose dual meanings—the absence of answers; the experience of awe—strike me as profoundly related. His book is not utilitarian. You can’t profit from it, at least not in the narrow sense.... And yet it does what real science writing should: It helps us feel the fullness of the problem.” (Kathryn Schulz, New York Magazine)" Jim Holt leaves us with the question Stephen Hawking once asked but couldn't answer, ‘Why does the universe go through all the bother of existing?’” (Ron Rosenbaum, Slate )

    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    It is without question Schopenhauer's greatest work. Conceived and published before the philosopher was 30 and expanded 25 years later, it is the summation of a lifetime of thought.For 70 years, the only unabridged English translation of this work was the Haldane-Kemp collaboration. In 1958, a new translation by E. F. J. Payne appeared that decisively supplanted the older one. Payne's translation is superior because it corrects nearly 1,000 errors and omissions in the Haldane-Kemp translation, and it is based on the definitive 1937 German edition of Schopenhauer's work prepared by Dr. Arthur Hübscher. Payne's edition is the first to translate into English the text's many quotations in half a dozen languages. It is thus the most useful edition for the student or teacher.

    He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Although Einstein understood that black holes were mathematical solutions to his equations, he never accepted their physical reality--a viewpoint many shared. This all changed in the 1960s and 1970s, when a deeper conceptual understanding of black holes developed just as new observations revealed the existence of quasars and X-ray binary star systems, whose mysterious properties could be explained by the presence of black holes. Black holes have since been the subject of intense research--and the physics governing how they behave and affect their surroundings is stranger and more mind-bending than any fiction.After introducing the basics of the special and general theories of relativity, this book describes black holes both as astrophysical objects and theoretical "laboratories" in which physicists can test their understanding of gravitational, quantum, and thermal physics. From Schwarzschild black holes to rotating and colliding black holes, and from gravitational radiation to Hawking radiation and information loss, Steven Gubser and Frans Pretorius use creative thought experiments and analogies to explain their subject accessibly. They also describe the decades-long quest to observe the universe in gravitational waves, which recently resulted in the LIGO observatories' detection of the distinctive gravitational wave "chirp" of two colliding black holes--the first direct observation of black holes' existence.The Little Book of Black Holes takes readers deep into the mysterious heart of the subject, offering rare clarity of insight into the physics that makes black holes simple yet destructive manifestations of geometric destiny.

    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.