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Author: Martin Davis Publisher: Courier Corporation ISBN: 9780486432281 Category : Mathematics Languages : en Pages : 420
Book Description
"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.
Author: Martin Davis Publisher: Courier Corporation ISBN: 9780486432281 Category : Mathematics Languages : en Pages : 420
Book Description
"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.
Author: Clare Gorman Publisher: Cambridge Scholars Publishing ISBN: 144388359X Category : Philosophy Languages : en Pages : 98
Book Description
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.
Author: Kurt Gödel Publisher: Courier Corporation ISBN: 0486158403 Category : Mathematics Languages : en Pages : 82
Book Description
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.
Author: Alfred Tarski Publisher: Dover Books on Mathematics ISBN: 9780486477039 Category : Mathematics Languages : en Pages : 0
Book Description
This well-known book by the famed logician consists of three treatises: A General Method in Proofs of Undecidability, Undecidability and Essential Undecidability in Mathematics, and Undecidability of the Elementary Theory of Groups. 1953 edition.
Author: Edna E. Reiter Publisher: CRC Press ISBN: 143988207X Category : Computers Languages : en Pages : 277
Book Description
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
Author: Haridimos Tsoukas Publisher: Emerald Group Publishing ISBN: 0857245953 Category : Social Science Languages : en Pages : 394
Book Description
What is the relationship between philosophy and organization theory (OT)? This title includes the papers that explore connections between several streams in philosophy and OT. It explores the question: What does a particular philosophy contribute to OT?
Author: Gregory Chaitin Publisher: CRC Press ISBN: 1136587640 Category : Mathematics Languages : en Pages : 160
Book Description
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
Author: Michael Oliver Publisher: Rowman & Littlefield ISBN: 1978704399 Category : Religion Languages : en Pages : 257
Book Description
Advancing current readings of the deconstructive work of Jacques Derrida, Deconstructing Undecidability critically explores the problematic nature of decision, including the inherent exclusivity that accompanies any decision. In discourses where a pursuit of justice or liberation from systemic oppression is a primary concern, Michael Oliver argues for an appreciation of the inescapability of making limited, difficult decisions for particular forms of justice. Oliver highlights a similarly precarious predicament in the context of philosophical and religious negotiations of divine decision, pointing to the impossibility of safely navigating this issue. While wholeheartedly affirming the problem of exclusivity that inevitably accompanies decision, this book offers a renewed sense of undecidability that highlights a mistaken, illusory position of indecision as a reflection of power and privilege. Ultimately, this book aims to gain a greater appreciation for the complexity of the problem of decision, in order to be more rigorous and transparent in our continued engagement with it.
Author: Drucilla Cornell Publisher: Routledge ISBN: 1134935153 Category : Philosophy Languages : en Pages : 420
Book Description
The purpose of this volume is to rethink the questions posed by Derrida's writings and his unique philosophical positioning, without reference to the catch phrases that have supposedly summed up deconstruction.
Author: Julie Allan Publisher: Springer Science & Business Media ISBN: 1402060939 Category : Education Languages : en Pages : 184
Book Description
With Warnock, the so-called ‘architect’ of inclusion now pronouncing this her ‘big mistake’ and calling for a return to special schooling, inclusion appears to be under threat as never before. This book takes key ideas of the philosophers of difference – Deleuze, Foucault and Derrida – and puts them to work on inclusion. The book offers new challenges for those involved with education to invent new ways of tackling the ‘problem’ of inclusion.
Author: Martin Davis
Author: Martin Davis
Author: Clare Gorman
Author: Kurt Gödel
Author: Alfred Tarski
Author: Edna E. Reiter
Author: Haridimos Tsoukas
Author: Gregory Chaitin
Author: Michael Oliver
Author: Drucilla Cornell
Author: Julie Allan