Download or read book The Undecidable written by Martin Davis and published by Courier Corporation. This book was released on 2004-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A valuable collection both for original source material as well as historical formulations of current problems." — The Review of Metaphysics "Much more than a mere collection of papers. A valuable addition to the literature." — Mathematics of Computation An anthology of fundamental papers on undecidability and unsolvability by major figures in the field , this classic reference is ideally suited as a text for graduate and undergraduate courses in logic, philosophy, and foundations of mathematics. It is also appropriate for self-study. The text opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by Church, Turing, and Post cover unsolvable problems from the theory of abstract computing machines, mathematical logic, and algebra, and material by Kleene and Post includes initiation of the classification theory of unsolvable problems. Supplementary items include corrections, emendations, and added commentaries by Godel, Church, and Kleene for this volume's original publication, along with a helpful commentary by the editor.
Download or read book The Undecidable written by Clare Gorman and published by Cambridge Scholars Publishing. This book was released on 2015-09-18 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed engagement between the French philosopher Jacques Derrida and the contemporary Irish author Paul Howard, aka Ross O’Carroll-Kelly. The book offers insightful analyses of Derrida’s deconstructive theory with all its concepts, non-concepts and neologisms, thus showing how they can be used in order to provide a critique of the socio-linguistic realm of Howard’s fictional series. Through his work, Howard set in ink a depiction of Ireland, and specifically Dublin, throughout the Celtic Tiger era and its aftermath. The book promotes a dialogue between Derrida and Howard in order to cultivate a succinct and accessible overview of critical theory.
Download or read book On Formally Undecidable Propositions of Principia Mathematica and Related Systems written by Kurt Gödel and published by Courier Corporation. This book was released on 2012-05-24 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
Download or read book Limits of Computation written by Edna E. Reiter and published by CRC Press. This book was released on 2012-10-29 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Limits of Computation: An Introduction to the Undecidable and the Intractable offers a gentle introduction to the theory of computational complexity. It explains the difficulties of computation, addressing problems that have no algorithm at all and problems that cannot be solved efficiently. The book enables readers to understand:What does it mean
Download or read book Goedel s Way written by Gregory Chaitin and published by CRC Press. This book was released on 2011-10-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein’s general relativity, as he proved that Einstein’s theory allows for time machines. The Gödel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though; one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics and even ecology. In this lively treatise, based on Chaitin’s groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gödel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life. This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book’s writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences. See also: http://www.youtube.com/watch?v=REy9noY5Sg8
Download or read book For Derrida written by J. Hillis Miller and published by Fordham Univ Press. This book was released on 2009-08-25 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book—the culmination of forty years of friendship between J. Hillis Miller and Jacques Derrida, during which Miller also closely followed all Derrida’s writings and seminars—is “for Derrida” in two senses. It is “for him,” dedicated to his memory. The chapters also speak, in acts of reading, as advocates for Derrida’s work. They focus especially on Derrida’s late work, including passages from the last, as yet unpublished, seminars. The chapters are “partial to Derrida,” on his side, taking his part, gratefully submitting themselves to the demand made by Derrida’s writings to be read—slowly, carefully, faithfully, with close attention to semantic detail. The chapters do not progress forward to tell a sequential story. They are, rather, a series of perspectives on the heterogeneity of Derrida’s work, or forays into that heterogeneity. The chief goal has been, to borrow a phrase from Wallace Stevens, “plainly to propound” what Derrida says. The book aims, above all, to render Derrida’s writings justice. It should be remembered, however, that, according to Derrida himself, every rendering of justice is also a transformative interpretation. A book like this one is not a substitute for reading Derrida for oneself. It is to be hoped that it will encourage readers to do just that.
Download or read book Undecidable Theories written by Alfred Tarski and published by Elsevier. This book was released on 1953 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Jacques Derrida written by Zeynep Direk and published by Psychology Press. This book was released on 2002 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: These three volumes assemble the most important essays written on Jacques Derrida's philosophy since he became established in 1967. These volumes make well-known essays easily available and also present many essays never translated in English.
Download or read book The Philosophy of Derrida written by Mark Dooley and published by Routledge. This book was released on 2014-12-18 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than forty years Jacques Derrida has attempted to unsettle and disturb the presumptions underlying many of our most fundamental philosophical, political, and ethical conventions. In The Philosophy of Derrida, Mark Dooley examines Derrida's large body of work to provide an overview of his core philosophical ideas and a balanced appraisal of their lasting impact. One of the author's primary aims is to make accessible Derrida's writings by discussing them in a vernacular that renders them less opaque and nebulous. Derrida's unusual writing style, which mixes literary and philosophical vocabularies, is shown to have hindered their interpretation and translation. Dooley situates Derrida squarely in the tradition of historicist, hermeneutic and linguistic thought, and Derrida's objectives and those of "deconstruction" are rendered considerably more convincing. While Derrida's works are ostensibly diverse, Dooley reveals an underlying cohesion to his writings. From his early work on Husserl, Hegel and de Saussure, to his most recent writings on justice, hospitality and cosmopolitanism, Derrida is shown to have been grappling with the vexed question of national, cultural and personal identity and asking to what extent the notion of a "pure" identity has any real efficacy. Viewed from this perspective Derrida appears less as a wanton iconoclast, for whom deconstruction equals destruction, but as a sincere and sensitive writer who encourages us to shed light on out historical constructions so as to reveal that there is much about ourselves that we do not know.
Download or read book Unravelling Complexity written by Francisco Antônio Doria and published by World Scientific. This book was released on 2020 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields. This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on. It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin. Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world
Download or read book Feminisms and Pedagogies of Everyday Life written by Carmen Luke and published by SUNY Press. This book was released on 1996-01-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the invisible and/or taken-for-granted places where lessons on gender and identity are translated to girls and women.
Download or read book American Fiction in Transition written by Adam Kelly and published by A&C Black. This book was released on 2013-04-25 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: American Fiction in Transition is a study of the observer-hero narrative, a highly significant but critically neglected genre of the American novel. Through the lens of this transitional genre, the book explores the 1990s in relation to debates about the end of postmodernism, and connects the decade to other transitional periods in US literature. Novels by four major contemporary writers are examined: Philip Roth, Paul Auster, E. L. Doctorow and Jeffrey Eugenides. Each novel has a similar structure: an observer-narrator tells the story of an important person in his life who has died. But each story is equally about the struggle to tell the story, to find adequate means to narrate the transitional quality of the hero's life. In playing out this narrative struggle, each novel thereby addresses the broader problem of historical transition, a problem that marks the legacy of the postmodern era in American literature and culture.
Download or read book Gadamer and the Question of the Divine written by Walter Lammi and published by Bloomsbury Publishing. This book was released on 2011-10-27 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gadamer and the Question of the Divine uncovers a neglected side of Gadamer's thought, namely his life-long concern with the question of the divine. Not only is this an issue of fundamental importance to philosophical hermeneutics, but it also contributes to what Gadamer considered to be the most urgent task of our time - a conceptual dialogue among religions. New grounds for toleration among communities must be found and Gadamer's study of the divine provides both a model and a starting-place for doing so. In setting forth a conceptual narrative for global dialogue about religious transcendence, Gadamer is the pre-eminent twentieth-century philosopher of the divine. Gadamer's study of the divine is an application of philosophical hermeneutics and phenomenological in its descriptions of temporality and the experience of art. Walter Lammi shows how Gadamer provides us with a richly textured study of the divine that finds its bearings in Heidegger and the Greeks and suggests a path to questions of cosmology, temporality and religious experience.
Download or read book Godel s Theorem in Focus written by S.G. Shanker and published by Routledge. This book was released on 2012-08-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.
Download or read book Uncertainty and Undecidability in Twentieth Century Literature and Literary Theory written by Mette Leonard Høeg and published by Taylor & Francis. This book was released on 2022-04-28 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undecidability is a fundamental quality of literature and constitutive of what renders some works appealing and engaging across time and in different contexts. This book explores the essential literary notion and its role, function and effect in late nineteenth- and twentieth-century literature and literary theory. The book traces the notion historically, providing a map of central theories addressing interpretative challenges and recalcitrance in literature and showing ‘theory of uncertainty’ to be an essential strand of literary theory. While uncertainty is present in all literature, and indeed a prerequisite for any stabilisation of meaning, the Modernist period is characterised by a particularly strong awareness of uncertainty and its subforms of undecidability, ambiguity, indeterminacy, etc. With examples from seminal Modernist works by Woolf, Proust, Ford, Kafka and Musil, the book sheds light on undecidability as a central structuring principle and guiding philosophical idea in twentieth-century literature and demonstrates the analytical value of undecidability as a critical concept and reading-strategy. Defining undecidability as a specific ‘sustained’ and ‘productive’ kind of uncertainty and distinguishing it from related forms, such as ambiguity, indeterminacy and indistinction, the book develops a systematic but flexible theory of undecidability and outlines a productive reading-strategy based on the recognition of textual and interpretive undecidability.
Download or read book Relational and Algebraic Methods in Computer Science written by Roland Glück and published by Springer Nature. This book was released on 2023-03-07 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2023, which took place in Augsburg, Germany, during April 3–6, 2023. The 17 papers presented in this book were carefully reviewed and selected from 26 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond. Apart from the submitted articles, this volume features the abstracts of the presentations of the three invited speakers.
Download or read book The Pythagorean World written by Jane McDonnell and published by Springer. This book was released on 2016-11-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.
