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An accessible and fascinating exploration of how Alan Turing’s mathematical theory gave rise to modern computer science and applications—from the desktops to cell phonesIn 1936, when he was just 24 years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing’s Vision, Chris Bernhardt explains the theory for the general reader, beginning with its foundations and systematically building to its surprising conclusions. He also views Turing’s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing’s later work, and the birth of the modern computer.Turing wanted to show that there were problems that were beyond any computer’s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing’s ideas, Bernhardt examines 3 well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing’s problem concerning computable numbers.

Throughout history, some books have changed the world. They have transformed the way we see ourselves - and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives - and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization and helped make us who we are. The Father of Existentialism, Kierkegaard transformed philosophy with his conviction that we must all create our own nature; in this great work of religious anxiety, he argues that a true understanding of God can only be attained by making a personal 'leap of faith'.

For readers of E. H. Gombrich’s A Little History of the World, an equally irresistible volume that brings history’s greatest philosophers to life“A primer in human existence: philosophy has rarely seemed so lucid, so important, so worth doing and so easy to enter into. . . . A wonderful introduction for anyone who’s ever felt curious about almost anything.”—Sarah Bakewell, author of How To Live: A Life of Montaigne in One Question and Twenty Attempts at an AnswerPhilosophy begins with questions about the nature of reality and how we should live. These were the concerns of Socrates, who spent his days in the ancient Athenian marketplace asking awkward questions, disconcerting the people he met by showing them how little they genuinely understood. This engaging book introduces the great thinkers in Western philosophy and explores their most compelling ideas about the world and how best to live in it.In forty brief chapters, Nigel Warburton guides us on a chronological tour of the major ideas in the history of philosophy. He provides interesting and often quirky stories of the lives and deaths of thought-provoking philosophers from Socrates, who chose to die by hemlock poisoning rather than live on without the freedom to think for himself, to Peter Singer, who asks the disquieting philosophical and ethical questions that haunt our own times.Warburton not only makes philosophy accessible, he offers inspiration to think, argue, reason, and ask in the tradition of Socrates. A Little History of Philosophy presents the grand sweep of humanity’s search for philosophical understanding and invites all to join in the discussion.

Friedrich Nietzsche's most accessible and influential philosophical work, misquoted, misrepresented, brilliantly original and enormously influentialNietzsche was one of the most revolutionary and subversive thinkers in Western philosophy, and Thus Spoke Zarathustra remains his most famous and influential work. It describes how the ancient Persian prophet Zarathustra descends from his solitude in the mountains to tell the world that God is dead and that the Superman, the human embodiment of divinity, is his successor. Nietzsche's utterance 'God is dead', his insistence that the meaning of life is to be found in purely human terms, and his doctrine of the Superman and the will to power were all later seized upon and unrecognisably twisted by, among others, Nazi intellectuals. With blazing intensity and poetic brilliance, Nietzsche argues that the meaning of existence is not to be found in religious pieties or meek submission to authority, but in an all-powerful life force: passionate, chaotic and free.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

The seminal work by one of the most important thinkers of the twentieth century, Physics and Philosophy is Werner Heisenberg's concise and accessible narrative of the revolution in modern physics, in which he played a towering role. The outgrowth of a celebrated lecture series, this book remains as relevant, provocative, and fascinating as when it was first published in 1958. A brilliant scientist whose ideas altered our perception of the universe, Heisenberg is considered the father of quantum physics; he is most famous for the Uncertainty Principle, which states that quantum particles do not occupy a fixed, measurable position. His contributions remain a cornerstone of contemporary physics theory and application.

The Perennial Philosophy is defined by its author as "The metaphysic that recognizes a divine Reality substantial to the world of things and lives and minds." With great wit and stunning intellect, Aldous Huxley examines the spiritual beliefs of various religious traditions and explains them in terms that are personally meaningful.

Contemporary science presents us with the remarkable theory that the universe began to exist about fifteen billion years ago with a cataclysmic explosion called "the Big Bang." The question of whether Big Bang cosmology supports theism or atheism has long been a matter of discussion among the general public and in popular science books, but has received scant attention from philosophers. This book sets out to fill this gap by means of a sustained debate between two philosophers, William Lane Craig and Quentin Smith, who defend opposing positions. Craig argues that the Big Bang that began the universe was created by God, while Smith argues that the Big Bang has no cause. Alternating chapters by the two philosophers criticize and attempt to refute preceding arguments. Their arguments are based on Einstein's theory of relativity and include a discussion of the new quantum cosmology recently developed by Stephen Hawking and popularized in A Brief History of Time.

Called by many France's foremost philosopher, Gilles Deleuze is one of the leading thinkers in the Western World. His acclaimed works and celebrated collaborations with Félix Guattari have established him as a seminal figure in the fields of literary criticism and philosophy. The long-awaited publication of What Is Philosophy? in English marks the culmination of Deleuze's career.Deleuze and Guattari differentiate between philosophy, science, and the arts, seeing as means of confronting chaos, and challenge the common view that philosophy is an extension of logic. The authors also discuss the similarities and distinctions between creative and philosophical writing. Fresh anecdotes from the history of philosophy illuminate the book, along with engaging discussions of composers, painters, writers, and architects.A milestone in Deleuze's collaboration with Guattari, What Is Philosophy? brings a new perspective to Deleuze's studies of cinema, painting, and music, while setting a brilliant capstone upon his work.

From flea bites to galaxies, from love affairs to shadows, Paul Feyerabend reveled in the sensory and intellectual abundance that surrounds us. He found it equally striking that human senses and human intelligence are able to take in only a fraction of these riches. "This a blessing, not a drawback," he writes. "A superconscious organism would not be superwise, it would be paralyzed." This human reduction of experience to a manageable level is the heart of Conquest of Abundance, the book on which Feyerabend was at work when he died in 1994. Prepared from drafts of the manuscript left at his death, working notes, and lectures and articles Feyerabend wrote while the larger work was in progress, Conquest of Abundance offers up rich exploration and startling insights with the charm, lucidity, and sense of mischief that are his hallmarks. Feyerabend is fascinated by how we attempt to explain and predict the mysteries of the natural world, and he looks at the ways in which we abstract experience, explain anomalies, and reduce wonder to formulas and equations. Through his exploration of the positive and negative consequences of these efforts, Feyerabend reveals the "conquest of abundance" as an integral part of the history and character of Western civilization. "Paul Feyerabend . . . was the Norman Mailer of philosophy. . . . brilliant, brave, adventurous, original and quirky."—Richard Rorty, New Republic "As much a smudged icon as a philosophical position holder, [Feyerabend] was alluring and erotic, a torch singer for philosophical anarchy."—Nancy Maull, New York Times Book Review "[A] kind of final testament of Feyerabend's thought . . . Conquest of Abundance is as much the product of a brilliant, scintillating style as of an immense erudition and culture. . . . This book is as abundant and rich as the world it envisions."—Arkady Plotnitsky, Chicago Tribune

What You Are Is Much More Important Than What You Should Be. You Can Understand What Is , But You Cannot Understand What Should Be. The Essential Message Of J. Krishnamurti, Revered Philosopher And Spiritual Teacher, Challenges The Limits Of Ordinary Thought. In Talks To Audiences Worldwide He Pointed Out To Listeners The Tangled Net Of Ideas, Organizational Beliefs And Psychological Mind-Sets In Which Humanity Is Caught, And That Truth The Understanding Of What Is Not Effort, Is The Key Factor Of Human Liberation. Commentaries On Living, A Three-Volume Series, Records Krishnamurti S Meetings With Individual Seekers Of Truth From All Walks Of Life. In These Dialogues, He Reveals The Thought-Centred Roots Of Human Sorrow And Comments On The Struggles And Issues Common To Those Who Strive To Break The Boundaries Of Personality And Self-Limitation. In Over Fifty Essays In Each Volume, Krishnamurti Explores Topics As Diverse As: Knowledge Truth Fulfilment Meditation Love Effort Seeking Life And Death Education The Series Invites Readers To Take A Voyage On An Unchartered Sea With Krishnamurti In His Exploration Of The Conditioning Of The Mind And Its Freedom.