Download or read book Logic and Its Limits written by Patrick Shaw and published by Oxford University Press on Demand. This book was released on 1997 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common-sense introduction to the everyday use of logic, this book explains some of the rules of good argument and some of the ways in which arguments can fail, drawing illustrations from a variety of contemporary and international sources. A wide range of thought-provoking examples and exercises make this a readable and stimulating guide for the student and general reader alike. Diagrams.
Download or read book The Outer Limits of Reason written by Noson S. Yanofsky and published by MIT Press. This book was released on 2016-11-04 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Download or read book Set Theory Logic and Their Limitations written by Moshe Machover and published by Cambridge University Press. This book was released on 1996-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.
Download or read book Particles and Paradoxes written by Peter Gibbins and published by Cambridge University Press. This book was released on 1987-09-25 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory is our deepest theory of the nature of matter. It is a theory that, notoriously, produces results which challenge the laws of classical logic and suggests that the physical world is illogical. This book gives a critical review of work on the foundations of quantum mechanics at a level accessible to non-experts. Assuming his readers have some background in mathematics and physics, Peter Gibbins focuses on the questions of whether the results of quantum theory require us to abandon classical logic and whether quantum logic can resolve the paradoxes produced by quantum mechanics. He argues that quantum logic does not dispose of the problems faced by classical logic, that no reasonable interpretation of quantum mechanics in terms of 'hidden variables' can be found, and that after all these years quantum mechanics remains a mystery to us. Particles and Paradoxes provides a much-needed and valuable introduction to the philosophy of quantum mechanics and, at the same time, an example of just what it is to do the philosophy of physics.
Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Download or read book The Limits of Logic written by Stewart Shapiro and published by Routledge. This book was released on 2016-12-05 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.
Download or read book The Logic and Limits of Trust written by Bernard Barber and published by . This book was released on 1983 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Limits of Neoliberalism written by William Davies and published by SAGE. This book was released on 2016-11-16 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brilliant...explains how the rhetoric of competition has invaded almost every domain of our existence.” —Evgeny Morozov, author of "To Save Everything, Click Here" “In this fascinating book Davies inverts the conventional neoliberal practice of treating politics as if it were mere epiphenomenon of market theory, demonstrating that their version of economics is far better understood as the pursuit of politics by other means." —Professor Philip Mirowski, University of Notre Dame "A sparkling, original, and provocative analysis of neoliberalism. It offers a distinctive account of the diverse, sometimes contradictory, conventions and justifications that lend authority to the extension of the spirit of competitiveness to all spheres of social life…This book breaks new ground, offers new modes of critique, and points to post-neoliberal futures.” —Professor Bob Jessop, University of Lancaster Since its intellectual inception in the 1930s and its political emergence in the 1970s, neo-liberalism has sought to disenchant politics by replacing it with economics. This agenda-setting text examines the efforts and failures of economic experts to make government and public life amenable to measurement, and to re-model society and state in terms of competition. In particular, it explores the practical use of economic techniques and conventions by policy-makers, politicians, regulators and judges and how these practices are being adapted to the perceived failings of the neoliberal model. By picking apart the defining contradiction that arises from the conflation of economics and politics, this book asks: to what extent can economics provide government legitimacy? Now with a new preface from the author and a foreword by Aditya Chakrabortty.
Download or read book Beyond the Limits of Thought written by Graham Priest and published by Oxford University Press. This book was released on 2002 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graham Priest presents an expanded edition of his exploration of the nature and limits of thought. Embracing contradiction and challenging traditional logic, he engages with issues across philosophical borders, from the historical to the modern, Eastern to Western, continental to analytic.
Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Download or read book The Logic and Limits of Bankruptcy Law written by Thomas H. Jackson and published by Beard Books. This book was released on 2001 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful analysis of the fundamentals of bankruptcy law.
Download or read book Formal Logic Its Scope and Limits written by Richard C. Jeffrey and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Three Views of Logic written by Donald W. Loveland and published by Princeton University Press. This book was released on 2014-01-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses
Download or read book Logic and the Limits of Philosophy in Kant and Hegel written by C. Bohnet and published by Palgrave Macmillan. This book was released on 2015-06-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the boundary between logic and philosophy in Kant and Hegel. Through a detailed analysis of 'quantity', it highlights the different ways Kant and Hegel handle this boundary. Kant is consistent in maintaining this boundary, but Hegel erases it and in the process transforms both logic and philosophy.
Download or read book An Introduction to Non Classical Logic written by Graham Priest and published by Cambridge University Press. This book was released on 2008-04-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.
Download or read book The Myth of Artificial Intelligence written by Erik J. Larson and published by Harvard University Press. This book was released on 2021-04-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Artificial intelligence has always inspired outlandish visions—that AI is going to destroy us, save us, or at the very least radically transform us. Erik Larson exposes the vast gap between the actual science underlying AI and the dramatic claims being made for it. This is a timely, important, and even essential book.” —John Horgan, author of The End of Science Many futurists insist that AI will soon achieve human levels of intelligence. From there, it will quickly eclipse the most gifted human mind. The Myth of Artificial Intelligence argues that such claims are just that: myths. We are not on the path to developing truly intelligent machines. We don’t even know where that path might be. Erik Larson charts a journey through the landscape of AI, from Alan Turing’s early work to today’s dominant models of machine learning. Since the beginning, AI researchers and enthusiasts have equated the reasoning approaches of AI with those of human intelligence. But this is a profound mistake. Even cutting-edge AI looks nothing like human intelligence. Modern AI is based on inductive reasoning: computers make statistical correlations to determine which answer is likely to be right, allowing software to, say, detect a particular face in an image. But human reasoning is entirely different. Humans do not correlate data sets; we make conjectures sensitive to context—the best guess, given our observations and what we already know about the world. We haven’t a clue how to program this kind of reasoning, known as abduction. Yet it is the heart of common sense. Larson argues that all this AI hype is bad science and bad for science. A culture of invention thrives on exploring unknowns, not overselling existing methods. Inductive AI will continue to improve at narrow tasks, but if we are to make real progress, we must abandon futuristic talk and learn to better appreciate the only true intelligence we know—our own.
Download or read book Wittgenstein and the Limits of Language written by Hanne Appelqvist and published by Routledge. This book was released on 2019-11-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The limit of language is one of the most pervasive notions found in Wittgenstein’s work, both in his early Tractatus Logico-Philosophicus and his later writings. Moreover, the idea of a limit of language is intimately related to important scholarly debates on Wittgenstein’s philosophy, such as the debate between the so-called traditional and resolute interpretations, Wittgenstein’s stance on transcendental idealism, and the philosophical import of Wittgenstein’s latest work On Certainty. This collection includes thirteen original essays that provide a comprehensive overview of the various ways in which Wittgenstein appeals to the limit of language at different stages of his philosophical development. The essays connect the idea of a limit of language to the most important themes discussed by Wittgenstein—his conception of logic and grammar, the method of philosophy, the nature of the subject, and the foundations of knowledge—as well as his views on ethics, aesthetics, and religion. The essays also relate Wittgenstein’s thought to his contemporaries, including Carnap, Frege, Heidegger, Levinas, and Moore.
