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Paradox Lost

Author: Michael Huemer

Publisher: Springer

Published: 2018-06-28

Total Pages: 260

ISBN-13: 3319904906

Paradox Lost covers ten of philosophy’s most fascinating paradoxes, in which seemingly compelling reasoning leads to absurd conclusions. The following paradoxes are included: The Liar Paradox, in which a sentence says of itself that it is false. Is the sentence true or false? The Sorites Paradox, in which we imagine removing grains of sand one at a time from a heap of sand. Is there a particular grain whose removal converts the heap to a non-heap? The Puzzle of the Self-Torturer, in which a series of seemingly rational choices has us accepting a life of excruciating pain, in exchange for millions of dollars. Newcomb’s Problem, in which we seemingly maximize our expected profit by taking an unknown sum of money, rather than taking the same sum plus $1000. The Surprise Quiz Paradox, in which a professor finds that it is impossible to give a surprise quiz on any particular day of the week . . . but also that if this is so, then a surprise quiz can be given on any day. The Two Envelope Paradox, in which we are asked to choose between two indistinguishable envelopes, and it is seemingly shown that each envelope is preferable to the other. The Ravens Paradox, in which observing a purple shoe provides evidence that all ravens are black. The Shooting Room Paradox, in which a deadly game kills 90% of all who play, yet each individual’s survival turns on the flip of a fair coin. Each paradox is clearly described, common mistakes are explored, and a clear, logical solution offered. Paradox Lost will appeal to professional philosophers, students of philosophy, and all who love intellectual puzzles.

Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments

Author: Kevin McCain

Publisher: Routledge

Published: 2021-07-26

Total Pages: 200

ISBN-13: 1000417026

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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.

Free Will and Human Agency: 50 Puzzles, Paradoxes, and Thought Experiments

Author: Garrett Pendergraft

Publisher: Puzzles, Paradoxes, and Thought Experiments in Philosophy

Published: 2022-06-15

Total Pages: 250

ISBN-13: 9780367641948

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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.

Philosophies, Puzzles, and Paradoxes

Author: Yudi Pawitan

Publisher:

Published: 2024

Total Pages: 0

ISBN-13: 9781003341659

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Mathematics is focused on formal manipulation of abstract concepts, while statistics deals with real-world data and involves a higher degree of subjectivity due to the role of interpretation. Interpretation is shaped by context as well as the knowledge, biases, assumptions or preconceptions of the interpreter, leading to a variety of potential interpretations of concepts as well as results. This book thoroughly examines the distinct philosophical approaches to statistics - Bayesian, frequentist, and likelihood - arising from different interpretations of probability and uncertainty. These differences are highlighted through a variety of puzzles and paradoxes. Features: Exploration of the philosophy of knowledge and truth and how they relate to deductive and inductive reasoning, and ultimately scientific and statistical thinking. Discussion of the philosophical theories of probability that are wider than the standard Bayesian and frequentist views. Exposition and examination of Savage's axioms as the basis of subjective probability and Bayesian statistics. Explanation of likelihood and likelihood-based inference, including the controversy surrounding the likelihood principle. Discussion of fiducial probability and its evolution to confidence procedure. Introduction of extended and hierarchical likelihood for handling random parameters, with the recognition of confidence as extended likelihood, leading to epistemic confidence as an objective measure of uncertainty for single events. Detailed analyses and new variations of classic paradoxes, such as the Monty Hall puzzle, the paradox of the ravens, the exchange paradox, etc. Substantive yet non-technical, catering to readers with only introductory exposure to the theory probability and statistics. This book primarily targets statisticians, including both undergraduate and graduate students, as well as researchers interested in the philosophical basis of probability and statistics. It is also suitable for philosophers of science and general readers intrigued by puzzles and paradoxes.

Philosophies, Puzzles and Paradoxes

Author: Yudi Pawitan

Publisher: CRC Press

Published: 2024-03-21

Total Pages: 352

ISBN-13: 1003849032

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Unlike mathematics, statistics deals with real-world data and involves a higher degree of subjectivity due to the role of interpretation. Interpretation is shaped by context as well as the knowledge, preferences, assumptions and preconceptions of the interpreter, leading to a variety of interpretations of concepts as well as results. Philosophies, Puzzles and Paradoxes: A Statistician’s Search for Truth thoroughly examines the distinct philosophical approaches to statistics – Bayesian, frequentist and likelihood – arising from different interpretations of probability and uncertainty. These differences are highlighted through numerous puzzles and paradoxes and illuminated by extensive discussions of the background philosophy of science. Features: Exploration of the philosophy of knowledge and truth and how they relate to deductive and inductive reasoning, and ultimately scientific and statistical thinking Discussion of the philosophical theories of probability that are wider than the standard Bayesian and frequentist views Exposition and examination of Savage’s axioms as the basis of subjective probability and Bayesian statistics Explanation of likelihood and likelihood-based inference, including the controversy surrounding the likelihood principle Discussion of fiducial probability and its evolution to confidence procedure Introduction of extended and hierarchical likelihood for random parameters, with the recognition of confidence as extended likelihood, leading to epistemic confidence as an objective measure of uncertainty for single events Detailed analyses and new variations of classic paradoxes, such as the Monty Hall puzzle, the paradox of the ravens, the exchange paradox, and more Substantive yet non-technical, catering to readers with only introductory exposure to the theory of probability and statistics This book primarily targets statisticians in general, including both undergraduate and graduate students, as well as researchers interested in the philosophical basis of probability and statistics. It is also suitable for philosophers of science and general readers intrigued by puzzles and paradoxes.

The Philosophy Foundation

Author: Peter Worley

Publisher: Crown House Publishing

Published: 2012-09-30

Total Pages: 181

ISBN-13: 1781350922

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The name 'Thoughtings' was inspired by a 5-year old who, when asked to explain what thinking is without using the word 'think' said 'It's when you're thoughting'. Children love pondering big philosophical questions like 'Does the universe end?', 'Where is my mind?' and 'Can something be true and false at the same time?'. These verses capture that impulse in the growing mind and feed it further. These are not poems or, at least, not in the traditional sense of the word... They are a kind of poem specifically designed around a particular puzzle or problem that might be thought more philosophy than poetry. Here's to the joy of puzzlement!

Paradoxes from A to Z

Author: Michael Clark

Publisher: Psychology Press

Published: 2002

Total Pages: 234

ISBN-13: 9780415228084

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'This sentence is false'. Is it? If a hotel with an infinite number of rooms is fully occupied, can it still accommodate a new guest? How can we have emotional responses to fiction, when we know that the objects of our emotions do not exist?

This Sentence is False

Author: Peter Cave

Publisher: Bloomsbury Publishing

Published: 2009-07-12

Total Pages: 232

ISBN-13: 1441122532

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An entertaining introduction to logic and reasoning, packed with puzzles and thought experiments for the reader to try "Peter Cave takes us on an edifying tour through the world of paradoxes, and there is much to be learned, as well as much enjoyment to be had, in the process." -Adrian W. Moore, University of Oxford, UK "'This sentence is false' is a sentence printed on the cover of this book. A sentence is not a name. So what is the name of the book? This book (whatever its name) is full of intriguing philosophical puzzles ... Paradoxes may seem trivial at first glance, but further thought reveals them to be challenges to some of our most fundamental beliefs and preconceptions. Peter Cave entertainingly escorts the reader through a great variety of these fascinating puzzles, shining light that is fresh and bright." -Laurence Goldstein, University of Kent, UK "This is a truly wonderful book. The topic is tough, but Peter Cave brings it to life. He manages to give new insights on old topics, which is itself remarkable, and he also brings in plenty of less familiar topics ... All in all, it is a joy to see such cleverness and clarity of thought coexisting with such an easy (and light and amusing) writing style." -Professor Imre Leader, Cambridge University, UK Put your neurons through their paces with this lively and engaging introduction to paradoxes. From "Buridan's Ass" and the "Surprise Examination" to "The Liar" and "Sleeping Beauty," This Sentence is False introduces all the key philosophical paradoxes. This fascinating guide to logic and reasoning is packed with puzzles and thought experiments to actively engage the reader in critical thinking. As well as paradoxes that occur in our everyday lives, topics also include God, ethics, political philosophy, space, and time. This Sentence is False will put your mind to the test, challenge what you think you know, and lead you on a fascinating journey through logical reasoning.

A Brief History of the Paradox

Author: Roy Sorensen

Publisher: Oxford University Press

Published: 2003-12-04

Total Pages: 416

ISBN-13: 0190289317

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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.

A Cabinet of Philosophical Curiosities

Author: Roy Sorensen

Publisher: Oxford University Press

Published: 2016-04-07

Total Pages:

ISBN-13: 0190468637

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Will you answer this question in the same way that you will answer my next question? Done? Good! Will you buy this book?. Inside you will discover that your only truthful answer to this second question is affirmative. Logic has made some men rich. Inside this book you will learn of John Eck (who debated Luther in 1519). He Will you answer this question in the same way that you will answer my next question? Done? Good! Will you buy this book? Inside you will discover that your only truthful answer to this second question is affirmative. A Cabinet of Philosophical Curiosities is a colorful collection of puzzles and paradoxes, both historical and contemporary, by philosopher Roy Sorensen. Taking inspiration from Ian Stewart's Professor Stewart's Cabinet of Mathematical Curiosities, which assembled interesting "maths" from outside the classroom into a miscellany of marvels, these puzzles are ready to be enjoyed independently but gain mutual support when read in clusters. The volume ranges from simple examples to anomalous anomalies, considers data that seems to confirm a generalization while lowering its probability, and argues that we are doomed to believe infinitely many contradictions-and that the pain of contradictions can be profoundly stimulating.Inside this book you will learn of John Eck, who debated Luther in 1519. He devised a sequence of contracts that sidestepped usury laws, and German bankers made a fortune from this Triple Contract. Sorensen also recounts how Voltaire set himself up for life by exploiting a fallacy in the construction of a Parisian lottery. There is logic for altruists, too. You will discover how General Benjamin Butler used other-centric reasoning to protect runaway slaves. There are historical snapshots of logic in action, and the book contains tributes to Lewis Carroll, Arthur Prior, and Peter Geach. In addition to short essays, there are dialogues, cures and insults.