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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'.

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. Inspired by the myth of a man condemned to ceaselessly push a rock up a mountain and watch it roll back to the valley below, The Myth of Sisyphus transformed twentieth-century philosophy with its impassioned argument for the value of life in a world without religious meaning.

Widely recognized as the finest definition of existentialist philosophy ever written, this book introduced existentialism to America in 1958. Barrett speaks eloquently and directly to concerns of the 1990s: a period when the irrational and the absurd are no better integrated than before and when humankind is in even greater danger of destroying its existence without ever understanding the meaning of its existence.Irrational Man begins by discussing the roots of existentialism in the art and thinking of Augustine, Aquinas, Pascal, Baudelaire, Blake, Dostoevski, Tolstoy, Hemingway, Picasso, Joyce, and Beckett. The heart of the book explains the views of the foremost existentialists—Kierkegaard, Nietzsche, Heidegger, and Sartre. The result is a marvelously lucid definition of existentialism and a brilliant interpretation of its impact.

One of the major philosophical texts of the 20th century, Process and Reality is based on Alfred North Whitehead’s influential lectures that he delivered at the University of Edinburgh in the 1920s on process philosophy.Whitehead’s master work in philsophy, Process and Reality propounds a system of speculative philosophy, known as process philosophy, in which the various elements of reality into a consistent relation to each other. It is also an exploration of some of the preeminent thinkers of the seventeenth and eighteenth centuries, such as Descartes, Newton, Locke, and Kant.The ultimate edition of Whitehead’s magnum opus, Process and Reality is a standard reference for scholars of all backgrounds.

Richard Feynman – Nobel Laureate, Teacher, Icon And Genius – Possessed An Unquenchable Thirst For Adventure And An Unparalleled Gift For Telling The Extraordinary Stories Of His Life. In This Collection Of Short Pieces And Reminiscences He Describes Everything From His Love Of Beauty To College Pranks To How His Father Taught Him To Think. He Takes Us Behind The Scenes Of The Space Shuttle Challenger Investigation, Where He Dramatically Revealed The Cause Of The Disaster With A Simple Experiment. And He Tells Us Of How He Met His Beloved First Wife Arlene, And Their Brief Time Together Before Her Death. Sometimes Intensely Moving, Sometimes Funny, These Writings Are Infused With Feynman’s Curiosity And Passion For Life.

Classical Philosophy is the first of a series of books in which Peter Adamson aims ultimately to present a complete history of philosophy, more thoroughly but also more enjoyably than ever before. In short, lively chapters, based on the popular History of Philosophy podcast, he offers an accessible, humorous, and detailed look at the emergence of philosophy with the Presocratics, the probing questions of Socrates, and the first full flowering of philosophy with the dialogues of Plato and the treatises of Aristotle. The story is told 'without any gaps', discussing not only such major figures but also less commonly discussed topics like the Hippocratic Corpus, the Platonic Academy, and the role of women in ancient philosophy. Within the thought of Plato and Aristotle, the reader will find in-depth introductions to major works, such as the Republic and the Nicomachean Ethics, which are treated in detail that is unusual in an introduction to ancient philosophy. Adamson looks at fascinating but less frequently read Platonic dialogues like the Charmides and Cratylus, and Aristotle's ideas in zoology and poetics. This full coverage allows him to tackle ancient discussions in all areas of philosophy, including epistemology, metaphysics, philosophy of language, philosophy of science, ethics and politics. Attention is also given to the historical and literary context of classical philosophy, with exploration of how early Greek cosmology responded to the poets Homer and Hesiod, how Socrates was presented by the comic playwright Aristophanes and the historian Xenophon, and how events in Greek history may have influenced Plato's thought. This is a new kind of history which will bring philosophy to life for all readers, including those coming to the subject for the first time.

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.

Ever since Newton created dynamics, there has been controversy about its foundations. Are space and time absolute? Do they form a rigid but invisible framework and container of the universe? Or are space, time, and motion relative? If so, does Newton's 'framework' arise through the influence of the universe at large, as Ernst Mach suggested? Einstein's aim when creating his general theory of relativity was to demonstrate this and thereby implement 'Mach's Principle'. However, it is widely believed that he achieved only partial success. This question of whether motion is absolute or relative has been a central issues in philosophy; the nature of time has perennial interest. Current attempts to create a quantum description of the whole universe keep these issues at the cutting edge of modern research. Written by the world's leading expert on Mach's Principle, The Discovery of Dynamics is a highly original account of the development of notions about space, time, and motion. Widely praised in its hardback version, it is one of the fullest and most readable accounts of the astronomical studies that culminated in Kepler's laws of planetary motion and of the creation of dynamics by Galileo, Descartes, Huygens, and Newton. Originally published as Absolute or Relative Motion?, Vol. 1: The Discovery of Dynamics (Cambridge), The Discovery of Dynamics provides the technical background to Barbour's recently published The End of Time, in which he argues that time disappears from the description of the quantum universe.

This is a rare book on a rare topic: it is about 'action' and the Principle of Least Action. A surprisingly well-kept secret, these ideas are at the heart of physical science and engineering. Physics is well known as being concerned with grand conservatory principles (e.g. the conservation of energy) but equally important is the optimization principle (such as getting somewhere in the shortest time or with the least resistance). The book explains: why an optimization principle underlies physics, what action is, what `the Hamiltonian' is, and how new insights into energy, space, and time arise. It assumes some background in the physical sciences, at the level of undergraduate science, but it is not a textbook. The requisite derivations and worked examples are given but may be skim-read if desired. The author draws from Cornelius Lanczos's book "The Variational Principles of Mechanics" (1949 and 1970). Lanczos was a brilliant mathematician and educator, but his book was for a postgraduate audience. The present book is no mere copy with the difficult bits left out - it is original, and a popularization. It aims to explain ideas rather than achieve technical competence, and to show how Least Action leads into the whole of physics.