Recommendations based on "One Hundred Years of Russell´s Paradox"

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.

Product Description 'I'll stop doing it as soon as I understand what I'm doing.' Somewhere between a historical account and work of philosophy, Socrates' Defence details the final plea of Plato's beloved mentor. Introducing Little Black Classics: 80 books for Penguin's 80th birthday. Little Black Classics celebrate the huge range and diversity of Penguin Classics, with books from around the world and across many centuries. They take us from a balloon ride over Victorian London to a garden of blossom in Japan, from Tierra del Fuego to 16th-century California and the Russian steppe. Here are stories lyrical and savage; poems epic and intimate; essays satirical and inspirational; and ideas that have shaped the lives of millions. Plato (474 BC-347 BC). Plato's works available in Penguin Classics are Republic, The Last Days of Socrates, The Laws, Phaedrus, Protagoras and Meno, Timaeus and Critias, Theaetetus, Early Socratic Dialogues, The Symposium and Gorgias. About the Author Plato (474 BC-347 BC). Plato's works available in Penguin Classics are Republic, The Last Days of Socrates, The Laws, Phaedrus, Protagoras and Meno, Timaeus and Critias, Theaetetus, Early Socratic Dialogues, The Symposium and Gorgias.

Paperback. Pub Date :2013-06-06 Pages: 544 Language: English Publisher: Penguin Books The hottest thinker in the world Bryan Appleyard. Sunday TimesIn The Black Swan. Taleb showed us that highly improbable and unpredictable events underlie almost everything about our world ... Here Taleb stands uncer-tainty on its head. making it desirable. even necessary The antifragile is beyond the resilient or robust The resil-ient resists shocks and stays the same; the antifragile gets better and better.Just as human bones get stronger when subjected to stress and tension. many things in life benefit from stress. disorder. volatility. and turmoil. What Taleb has identified and calls antifragile are things that not only gain from chaos but need it in order to survive and flourish.Whats more . the antifragile is immune to prediction errors and protected from adverse events. Why is the cit...

'a Cerebrally Enjoyable Survey, Written With Great Clarity And Touches Of Wit . . . The Non-western Section Throws Up Some Fascinating Revelations' Sunday Times The Story Of Philosophy Is An Epic Tale: An Exploration Of The Ideas, Views And Teachings Of Some Of The Most Creative Minds Known To Humanity. But There Has Been No Comprehensive And Entertaining, Single-volume History Of This Great Intellectual Journey Since 1945. With His Characteristic Clarity And Elegance A. C. Grayling Takes The Reader From The World-views And Moralities Before The Age Of The Buddha, Confucius And Socrates, Through Christianity's Dominance Of The European Mind To The Renaissance And Enlightenment, And On To Mill, Nietzsche, Sartre, And Philosophy Today. And, Since The Story Of Philosophy Is Incomplete Without Mention Of The Great Philosophical Traditions Of India, China And The Persian-arabic World, He Gives A Comparative Survey Of Them Too. Intelligible For Students And Eye-opening For Philosophy Readers, He Covers Epistemology, Metaphysics, Ethics, Aesthetics, Logic, The Philosophy Of Mind, The Philosophy Of Language, Political Philosophy And The History Of Debates In These Areas Of Enquiry, Through The Ideas Of The Celebrated Philosophers As Well As Less Well-known Influential Thinkers. He Also Asks What We Have Learnt From This Body Of Thought, And What Progress Is Still To Be Made. The First Authoritative And Accessible Single-volume History Of Philosophy For Decades, Remarkable For Its Range And Clarity, This Is A Landmark Work.

An extraordinary and challenging synthesis of ideas uniting Quantum Theory, and the theories of Computation, Knowledge and Evolution, Deutsch's extraordinary book explores the deep connections between these strands which reveal the fabric of realityin which human actions and ideas play essential roles.

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.

Now in its fifth edition, this historically organized introductory text treats philosophy as a dramatic and continuous story--a conversation about humankind's deepest and most persistent concerns. 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), Averroës (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.

Dr. Laing's first purpose is to make madness and the process of going mad comprehensible. In this, with case studies of schizophrenic patients, he succeeds brilliantly, but he does more: through a vision of sanity and madness as 'degrees of conjunction and disjunction between two persons where the one is sane by common consent' he offers a rich existential analysis of personal alienation.The outsider, estranged from himself and society, cannot experience either himself or others as 'real'. He invents a false self and with it he confronts both the outside world and his own despair. The disintegration of his real self keeps pace with the growing unreality of his false self until, in the extremes of schizophrenic breakdown, the whole personality disintegrates.

This book, one of the first full-length studies of the modalities to emerge from the debate to which Saul Kripke, David Lewis, Ruth Marcus, and others are contributing, is an exploration and defense of the notion of modality de re, the idea that objects have both essential and accidental properties. Plantinga develops his argument by means of the notion of possible worlds and ranges over such key problems as the nature of essence, transworld identity, negative existential propositions, and the existence of unactual objects in other possible worlds. He also applies his logical theories to the elucidation of two problems in the philosophy of religion: the problem of evil and the ontological argument.

Written over the last 18 months of his life and inspired by his interest in G. E. Moore's defense of common sense, this much discussed volume collects Wittgenstein's reflections on knowledge and certainty, on what it is to know a proposition for sure.