What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr (...) class='Hi'>Cutland begins with a mathematical characterisation of computable functions using a simple idealised computer (a register machine); after some comparison with other characterisations, he develops the mathematical theory, including a full discussion of non-computability and undecidability, and the theory of recursive and recursively enumerable sets. The later chapters provide an introduction to more advanced topics such as Gildel's incompleteness theorem, degrees of unsolvability, the Recursion theorems and the theory of complexity of computation. Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers. Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and interest. (shrink)

World Ethics: The New Agenda identifies different ways of thinking about ethics, and of thinking ethically about international and global relations. It also considers several theories of world ethics in the context of issues such as war and peace, world poverty, the environment and the United Nations. The discussion is grounded in an awareness of the post-9/11 world in which we live and offers a more detailed exploration of the idea of global citizenship and a global or cosmopolitan ethic.

This book uses the philosophy of Wittgenstein as a perspective from which to challenge the idea of a critical social theory, represented pre-eminently by Giddens, Habermas and Bhaskar.

"The Blackwell Guide to Philosophy of Education" is state-of-the-art map to the field as well as a valuable reference book.

The word 'athletics' is derived from the Greek verb 'to struggle for a prize'. After reading this book, no one will see the Olympics as a graceful display of Greek beauty again, but as war by other means. Nigel Spivey paints a portrait of the Greek Olympics as they really were - fierce contests between bitter rivals, in which victors won kudos and rewards, and losers faced scorn and even assault. Victory was almost worth dying for, and a number (...) of athletes did just that. Many more resorted to cheating and bribery. Contested always bitterly and often bloodily, the ancient Olympics were not an idealistic celebration of unity, but a clash of military powers in an arena not far removed from the battlefield. (shrink)

I Am Dynamite ignites an alternative theory of the self and will, wrapped up in a combustible assault upon scholarly convention. Asking why the real effort of constructing and living within an identity is so often overlooked, it examines the subjective experience of existing in the world, with the power to define and transform oneself. Considering the trials and triumphs of five very different modern subjects--Primo Levi, Ben Glaser, Stanley Spencer, Rachel Silberstein and Friedrich Nietzsche--Nigel Rapport asks: can consciousness (...) of being a self in the world enable control over one's life within it? Calling for a renewed appreciation of the extraordinary within us all, this richly inventive work seeks to restore knowledge to its essential practical and moral aims--aiding and informing the lives we actually live. (shrink)

__‘Philosophy: The Basics deservedly remains the most recommended introduction to philosophy on the market. Warburton is patient, accurate and, above all, clear. There is no better short introduction to philosophy.’_ - Stephen Law, author of The Philosophy Gym_ _Philosophy: The Basics_ gently eases the reader into the world of philosophy. Each chapter considers a key area of philosophy, explaining and exploring the basic ideas and themes including: Can you prove God exists? How do we know right from wrong? What are (...) the limits of free speech? Do you know how science works? Is your mind different from your body? Can you define art? How should we treat non-human animals? For the fifth edition of this best-selling book, Nigel Warburton has added an entirely new chapter on animals, revised others and brought the further reading sections up to date. If you’ve ever asked ‘what is philosophy?’, or wondered whether the world is really the way you think it is, this is the book for you. (shrink)

This is a critical survey of writing on the philosophy of photography.

Cognitive science has always included multiple methodologies and theoretical commitments. The philosophy of cognitive science should embrace, or at least acknowledge, this diversity. Bechtel’s (2009a) proposed philosophy of cognitive science, however, applies only to representationalist and mechanist cognitive science, ignoring the substantial minority of dynamically oriented cognitive scientists. As an example of nonrepresentational, dynamical cognitive science, we describe strong anticipation as a model for circadian systems (Stepp & Turvey, 2009). We then propose a philosophy of science appropriate to nonrepresentational, dynamical (...) cognitive science. (shrink)

Philosopher's zombies are hypothetical beings behaviorally, functionally, and perhaps even physically indistinguishable from normal humans, but who lack our consciousness. Many people seem to be convinced that such zombies are a real conceptual possibility, and that this bare possibility entails that understanding human consciousness must remain forever beyond the reach of science. However, the conceptual entailments of zombiehood have not been sufficiently examined. This brief article shows that any way of understanding the behavior of zombies that does in fact support (...) the suggested entailment, leads to contradictions and absurdities. Zombies are _not_ conceptually possible. (shrink)

The 'postmodern condition,' in which instrumentalism finally usurps all other considerations, has produced a kind of intellectual paralysis in the world of education. The authors of this book show how such postmodernist thinkers as Derrida, Foucault, and Lyotard illuminate puzzling aspects of education, arguing that educational theory is currently at an impasse. They postulate that we need these new and disturbing ideas in order to "think again" fruitfully and creatively about education.

This timely book addresses concerns about educational and moral standards in a world characterised by a growing nihilism.

Timely and much-needed theory of humanity's relation to the planet.

If an artist sends a live peacock to an exhibition, is it art? 'What is art?' is a question many of us want answered but are too afraid to ask. It is the very question that Nigel Warburton demystifies in this brilliant and accessible little book. With the help of varied illustrations and photographs, from Cézanne and Francis Bacon to Andy Warhol and Damien Hirst, best-selling author Warburton brings a philosopher's eye to art in a refreshing jargon-free style. With (...) customary clarity, he explains art theories, that are much discussed but little understood, by thinkers such as Clive Bell, R.G Collingwood and Wittgenstein. He illuminates other perplexing problems in art, such as the artist's intention, representation and emotion. Drawing on photographs of Cindy Sherman and Tiananmen Square, Warburton shows that, if we are ever to answer the art question, we must consider each work of art on its own terms. A stimulating and handy guide through the art maze, The Art Question is essential reading for anyone interested in art, philosophy or those who simply like looking at and thinking about pictures. (shrink)

Theology is based on God's true and unchanging Word, but does it supply an unwavering foundation for spiritual certainties? Brush contends that it does not, because, like science, theology is a human discipline and subject to our limitations of knowledge, interpretation, and objectivity. In part one, Brush unpacks this contention, showing how Christians both past and present have arrived at conclusions that actually run counter to biblical teaching, and how these interpretive viewpoints have changed over time. In part two, he (...) makes the case that flawed theological positions have resulted in views that needlessly conflict with science, and that these clashes can be resolved with more accurate formulations. Brush evenly evaluates questions including the age of the earth, the origin of life, and the end of time."--Publisher. (shrink)