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.
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.
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.
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.
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.
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.
Facing Up to Scarcity offers a powerful critique of the nonconsequentialist approaches that have been dominant in Anglophone moral and political thought over the last fifty years. In these essays Barbara H. Fried examines the leading schools of contemporary nonconsequentialist thought, including Rawlsianism, Kantianism, libertarianism, and social contractarianism. In the realm of moral philosophy, she argues that nonconsequentialist theories grounded in the sanctity of "individual reasons" cannot solve the most important problems taken to be within their domain. Those problems, which arise from irreducible conflicts among legitimate (and often identical) individual interests, can be resolved only through large-scale interpersonal trade-offs of the sort that nonconsequentialism foundationally rejects. In addition to scrutinizing the internal logic of nonconsequentialist thought, Fried considers the disastrous social consequences when nonconsequentialist intuitions are allowed to drive public policy. In the realm of political philosophy, she looks at the treatment of distributive justice in leading nonconsequentialist theories. Here one can design distributive schemes roughly along the lines of the outcomes favoured--but those outcomes are not logically entailed by the normative premises from which they are ostensibly derived, and some are extraordinarily strained interpretations of those premises. Fried concludes, as a result, that contemporary nonconsequentialist political philosophy has to date relied on weak justifications for some very strong conclusions.
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.
