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von Chris Bernhardt
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.
von Plato
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. Plato's retelling of the discourses between Socrates and his friends on such subjects as love and desire, truth and illusion, spiritual transcendence and the qualities of a good ruler, profoundly affected the ways in which we view human relationships, society and leadership - and shaped the whole tradition of Western philosophy.
von William Barrett
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.
von Ray Monk
"Great philosophical biographies can be counted on one hand. Monk's life of Wittgenstein is such a one."The Christian Science Monitor.
von Richard Phillips Feynman
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.
von Kurt Godel
Kurt Gödel (1906-1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory and stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the strong individuality of his writings on the philosophy of mathematics. The Collected Works is a landmark resource that draws together a lifetime of creative accomplishment. The first two volumes were devoted to Gödel's publications in full (both in the original and translation). This third volume features a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add a great deal to our understanding of his motivations. Continuing the format of the earlier volumes, the present volume includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, English translations of material originally written in German (some transcribed from Gabelsberger shorthand), and a complete bibliography. A succeeding volume is to contain a comprehensive selection of Gödel's scientific correspondence and a complete inventory of his Nachlass. The books are designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science.
von Benedict de Spinoza
A profoundly beautiful and uniquely insightful description of the universe, Benedict de Spinoza's Ethics is one of the masterpieces of Enlightenment-era philosophy.Published shortly after his death, the Ethics is undoubtedly Spinoza's greatest work - an elegant, fully cohesive cosmology derived from first principles, providing a coherent picture of reality, and a guide to the meaning of an ethical life. Following a logical step-by-step format, it defines in turn the nature of God, the mind, the emotions, human bondage to the emotions, and the power of understanding - moving from a consideration of the eternal, to speculate upon humanity's place in the natural order, the nature of freedom and the path to attainable happiness. A powerful work of elegant simplicity, the Ethics is a brilliantly insightful consideration of the possibility of redemption through intense thought and philosophical reflection. The Ethics is presented in the standard translation of the work by Edwin Curley. This edition also includes an introduction by Stuart Hampshire, outlining Spinoza's philosophy and placing it in context.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.
von Raymond M. Smullyan
Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.
von David Lindley
The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa. —Werner Heisenberg That God would choose to play dice with the world is something I cannot believe.—Albert Einstein Nothing exists until it is measured. —Neils Bohr The remarkable story of a startling scientific idea that ignited a battle among the greatest minds of the twentieth century and profoundly influenced intellectual inquiry in fields ranging from physics to literary criticism, anthropology and journalism In 1927, the young German physicist Werner Heisenberg challenged centuries of scientific understanding when he introduced what came to be known as “the uncertainty principle.” Building on his own radical innovations in quantum theory, Heisenberg proved that in many physical measurements, you can obtain one bit of information only at the price of losing another. Heisenberg’s principle implied that scientific quantities/concepts do not have absolute, independent meaning, but acquire meaning only in terms of the experiments used to measure them. This proposition, undermining the cherished belief that science could reveal the physical world with limitless detail and precision, placed Heisenberg in direct opposition to the revered Albert Einstein. The eminent scientist Niels Bohr, Heisenberg’s mentor and Einstein’s long-time friend, found himself caught between the two. Uncertaintychronicles the birth and evolution of one of the most significant findings in the history of science, and portrays the clash of ideas and personalities it provoked. Einstein was emotionally as well as intellectually determined to prove the uncertainty principle false. Heisenberg represented a new generation of physicists who believed that quantum theory overthrew the old certainties; confident of his reasoning, Heisenberg dismissed Einstein’s objections. Bohr understood that Heisenberg was correct, but he also recognized the vital necessity of gaining Einstein’s support as the world faced the shocking implications of Heisenberg’s principle.
von Kurt Gödel, S. Feferman
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. L All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.