Paradoxical Philosophy
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| Author | : Roy Sorensen |
| Publisher | : Oxford University Press |
| Total Pages | : 413 |
| Release | : 2003-12-04 |
| Genre | : Philosophy |
| ISBN | : 0199728577 |
Can God create a stone too heavy for him to lift? Can time have a beginning? Which came first, the chicken or the egg? Riddles, paradoxes, conundrums--for millennia the human mind has found such knotty logical problems both perplexing and irresistible. Now Roy Sorensen offers the first narrative history of paradoxes, a fascinating and eye-opening account that extends from the ancient Greeks, through the Middle Ages, the Enlightenment, and into the twentieth century. When Augustine asked what God was doing before He made the world, he was told: "Preparing hell for people who ask questions like that." A Brief History of the Paradox takes a close look at "questions like that" and the philosophers who have asked them, beginning with the folk riddles that inspired Anaximander to erect the first metaphysical system and ending with such thinkers as Lewis Carroll, Ludwig Wittgenstein, and W.V. Quine. Organized chronologically, the book is divided into twenty-four chapters, each of which pairs a philosopher with a major paradox, allowing for extended consideration and putting a human face on the strategies that have been taken toward these puzzles. Readers get to follow the minds of Zeno, Socrates, Aquinas, Ockham, Pascal, Kant, Hegel, and many other major philosophers deep inside the tangles of paradox, looking for, and sometimes finding, a way out. Filled with illuminating anecdotes and vividly written, A Brief History of the Paradox will appeal to anyone who finds trying to answer unanswerable questions a paradoxically pleasant endeavor.
| Author | : David Pears |
| Publisher | : Oxford University Press on Demand |
| Total Pages | : 148 |
| Release | : 2006-09-28 |
| Genre | : Philosophy |
| ISBN | : 0199247706 |
| Author | : Agustin Rayo |
| Publisher | : MIT Press |
| Total Pages | : 321 |
| Release | : 2019-04-02 |
| Genre | : Mathematics |
| ISBN | : 0262039419 |
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
| Author | : William Eckhardt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 85 |
| Release | : 2012-09-26 |
| Genre | : Mathematics |
| ISBN | : 9400751400 |
Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory. Some remain the focus of controversy; others have allegedly been solved, however the accepted solutions are demonstrably incorrect. Each paradox is shown to rest on one or more fallacies. Instead of the esoteric, idiosyncratic, and untested methods that have been brought to bear on these problems, the book invokes uncontroversial probability principles, acceptable both to frequentists and subjectivists. The philosophical disputation inspired by these paradoxes is shown to be misguided and unnecessary; for instance, startling claims concerning human destiny and the nature of reality are directly related to fallacious reasoning in a betting paradox, and a problem analyzed in philosophy journals is resolved by means of a computer program.
| Author | : Richard Phillip McCombs |
| Publisher | : Indiana University Press |
| Total Pages | : 261 |
| Release | : 2013-03-04 |
| Genre | : Philosophy |
| ISBN | : 0253006473 |
Richard McCombs presents Søren Kierkegaard as an author who deliberately pretended to be irrational in many of his pseudonymous writings in order to provoke his readers to discover the hidden and paradoxical rationality of faith. Focusing on pseudonymous works by Johannes Climacus, McCombs interprets Kierkegaardian rationality as a striving to become a self consistently unified in all its dimensions: thinking, feeling, willing, acting, and communicating. McCombs argues that Kierkegaard's strategy of feigning irrationality is sometimes brilliantly instructive, but also partly misguided. This fresh reading of Kierkegaard addresses an essential problem in the philosophy of religion—the relation between faith and reason.
| Author | : Doris Olin |
| Publisher | : Routledge |
| Total Pages | : 233 |
| Release | : 2014-12-18 |
| Genre | : Philosophy |
| ISBN | : 1317489233 |
Paradoxes are more than just intellectual puzzles - they raise substantive philosophical issues and offer the promise of increased philosophical knowledge. In this introduction to paradox and paradoxes, Doris Olin shows how seductive paradoxes can be, why they confuse and confound, and why they continue to fascinate. Olin examines the nature of paradox, outlining a rigorous definition and providing a clear and incisive statement of what does and does not count as a resolution of a paradox. The view that a statement can be both true and false, that contradictions can be true, is seen to provide a challenge to the account of paradox resolution, and is explored. With this framework in place, the book then turns to an in-depth treatment of the Prediction Paradox, versions of the Preface/Fallibility Paradox, the Lottery Paradox, Newcomb's Problem, the Prisoner's Dilemma and the Sorites Paradox. Each of these paradoxes is shown to have considerable philosophical punch. Olin unpacks the central arguments in a clear and systematic fashion, offers original analyses and solutions, and exposes further unsettling implications for some of our most deep-seated principles and convictions.
| Author | : Kevin McCain |
| Publisher | : Routledge |
| Total Pages | : 200 |
| Release | : 2021-07-26 |
| Genre | : Philosophy |
| ISBN | : 1000417026 |
In this new kind of entrée to contemporary epistemology, Kevin McCain presents fifty of the field’s most important puzzles, paradoxes, and thought experiments. Assuming no familiarity with epistemology from the reader, McCain titles each case with a memorable name, describes the details of the case, explains the issue(s) to which the case is relevant, and assesses its significance. McCain also briefly reviews the key responses to the case that have been put forward, and provides a helpful list of suggested readings on the topic. Each entry is accessible, succinct, and self-contained. Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments is a fantastic learning tool as well as a handy resource for anyone interested in epistemological issues. Key Features: Though concise overall, offers broad coverage of the key areas of epistemology. Describes each imaginative case directly and in a memorable way, making the cases accessible and easy to remember. Provides a list of Suggested Readings for each case, divided into General Overviews, Seminal Presentations, and Other Important Discussions.
| Author | : Garrett Pendergraft |
| Publisher | : Puzzles, Paradoxes, and Thought Experiments in Philosophy |
| Total Pages | : 250 |
| Release | : 2022-06-15 |
| Genre | : |
| ISBN | : 9780367641948 |
In this new kind of entrée to discussions of free will and human agency, Pendergraft illuminates 50 puzzles, paradoxes, and thought experiments. Assuming no familiarity with the topic, each chapter describes a case, explains the questions that it raises, summarizes some of the key responses, and provides suggested readings.
| Author | : Jacob Howland |
| Publisher | : Rowman & Littlefield |
| Total Pages | : 376 |
| Release | : 1998 |
| Genre | : Philosophy |
| ISBN | : 9780847689767 |
An examination of Socrates' trial as played out in the Apology, Theaetetus, Euthyphro, Cratylus, Sophist, and Statesman. Finding that the heart of the dialogues is the rivalry between the characters of the Stranger of Elea and Socrates, the author devotes a chapter to each dialogue and explores the Stranger of Elea's criticism that the uncompromising pursuit of knowledge conflicts with the task of weaving together humans into a political community. The melding of the arguments of Socrates and the Stranger of Elea, the author suggests, is the best path to understanding Plato's political philosophy. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : Matt Cook |
| Publisher | : MIT Press |
| Total Pages | : 369 |
| Release | : 2021-08-03 |
| Genre | : Mathematics |
| ISBN | : 0262542293 |
This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.
