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The Sorites Principle
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Book Synopsis The Sorites Principle by : Ian Gibbs
Download or read book The Sorites Principle written by Ian Gibbs and published by . This book was released on 2016-10-27 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sorites Principle: How to harness the power of perseverance is a powerful unification of tips, tricks and techniques on how to achieve great things via small efforts. So, do you want to lose weight, learn a new language, become a film director or just keep your home neat and tidy? Then the Sorites Principle is just what you need.
Book Synopsis The Sorites Principle Worksheets by : Ian Gibbs
Download or read book The Sorites Principle Worksheets written by Ian Gibbs and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Sorites Paradox written by Sergi Oms and published by Cambridge University Press. This book was released on 2019-10-10 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: For centuries, the sorites paradox has spurred philosophers to think and argue about the problem of vagueness. This volume offers a guide to the paradox which is both an accessible survey and an exposition of the state of the art, with a chapter-by-chapter presentation of all of the main solutions to the paradox and of all its main areas of influence. Each chapter offers a gentle introduction to its topic, gradually building up to a final discussion of some open problems. Students will find a comprehensive guide to the fundamentals of the paradox, together with lucid explanations of the challenges it continues to raise. Researchers will find exciting new ideas and debates on the paradox.
Download or read book Vagueness written by Kit Fine and published by Oxford University Press, USA. This book was released on 2020 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is about the problem of vagueness. It begins by discussing some of the existing views on vagueness and then explains why they have not been thought to be satisfactory. It then outlines a new account of vagueness, based upon the general idea that vagueness is a global rather than a local phenomenon.. In other words, the vagueness of an expression or object is not an intrinsic feature of the object or an expression but a matter of how it relates to other objects and expression. The development of this idea leads to a new semantics and logic for vagueness. The semantics and logic are then applied to a number of issues, including the sorites paradox, the transparency of mental states, and personal identity. It is shown that the view allows one to hew to a much more intuitive position on these various issues"--
Book Synopsis How to Swim in Sinking Sands by : Inga Bones
Download or read book How to Swim in Sinking Sands written by Inga Bones and published by Brill Mentis. This book was released on 2020-10-23 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reassesses philosophical approaches to linguistic vagueness, a puzzling feature of natural language that gives rise to the ancient Sorites paradox. The paradox consists in three claims: (1) One grain of sand does not make a heap. (2) One billion grains of sand do make a heap. (3) For any two amounts of sand differing by at most one grain: either both are heaps of sand, or neither one is. Claim (3) is rendered plausible by an initial conviction that vague predicates like 'heap' tolerate small changes. The repeated application of a tolerance principle to claim (2), however, yields the further proposition that one grain of sand does make a heap - which contradicts claim number one. Consequently, many philosophers reject or modify tolerance principles for vague predicates. Inga Bones reassesses prominent responses to the Sorites and defends a Wittgensteinian dissolution of the paradox. She argues that vague predicates are, indeed, tolerant and discusses how this finding relates to the paradox itself, to the notion of validity and to the concept of a borderline case.
Download or read book Paradox Lost written by Michael Huemer and published by Springer. This book was released on 2018-06-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vagueness written by L. Burns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is in two parts. It began as a general investigation of vagueness in natural languages. The Sorites Paradox came to dominate the work however, and the second part of the book consists in an discussion ofthat puzzle and related problems. The first part contains a general discussion ofthe nature ofvagueness and its sources. I discuss various conceptions of vagueness in chapter 1 and outline some of the problems to do with the conception of vagueness as a linguistic phenomenon. The most interesting of these is the Sorites paradox, which occurs where natural languages exhibit a particular variety of borderline case vagueness. I discuss some sources of vagueness of the borderline case variety, and views of the relation between linguistic behaviour and languages which are vague in this sense. I argue in chapter 2 that these problems are not to be easily avoided by statistical averaging techniques or attempts to provide a mathematical model of consensus in linguistic usage. I also consider in chapter 3 various approaches to the problem of providing an adequate logic and semantics for vague natural languages, and argue against two currently popular approaches to vagueness. These are supervaluation accounts which attempt to provide precise semantic models for vague languages based on the notion of specification spaces, and attempts to replace the laws ofclassical logic with systems offuzzy logic.
Book Synopsis The Boundary Stones of Thought by : Ian Rumfitt
Download or read book The Boundary Stones of Thought written by Ian Rumfitt and published by . This book was released on 2015 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical logic has been attacked by adherents of rival, anti-realist logical systems: Ian Rumfitt comes to its defence. He considers the nature of logic, and how to arbitrate between different logics. He argues that classical logic may dispense with the principle of bivalence, and may thus be liberated from the dead hand of classical semantics.
Book Synopsis Identity and Discrimination by : Timothy Williamson
Download or read book Identity and Discrimination written by Timothy Williamson and published by John Wiley & Sons. This book was released on 2013-01-22 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identity and Discrimination This updated edition of Identity and Discrimination, first published in 1990 and the first book by well-known philosopher Timothy Williamson, is now reissued with the inclusion of significant new material. This major work – influential in philosophy of perception and the theory of vagueness – continues in an original and rigorous way to highlight the necessity of discrimination and the thresholds which determine the approximate criteria of identity. Williamson’s proposal for an original and rigorous theory links identity, a relation central to metaphysics, and indiscriminability, a relation central to epistemology. He provides a distinctive cognitive account of the nature of discrimination, with important applications to the philosophy of perception and the theory of vagueness. The book pioneers the use of epistemic logic to solve the notorious paradoxes of indiscriminability, and develops the application of techniques from mathematical logic to understand issues about identity over time and across possible worlds.
Book Synopsis Saving Truth From Paradox by : Hartry Field
Download or read book Saving Truth From Paradox written by Hartry Field and published by OUP Oxford. This book was released on 2008-03-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.
Book Synopsis Essays on Paradoxes by : Terry Horgan
Download or read book Essays on Paradoxes written by Terry Horgan and published by Oxford University Press. This book was released on 2017 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together many of Terence Horgan's essays on paradoxes: Newcomb's problem, the Monty Hall problem, the two-envelope paradox, the sorites paradox, and the Sleeping Beauty problem. Newcomb's problem arises because the ordinary concept of practical rationality constitutively includes normative standards that can sometimes come into direct conflict with one another. The Monty Hall problem reveals that sometimes the higher-order fact of one's having reliably received pertinent new first-order information constitutes stronger pertinent new information than does the new first-order information itself. The two-envelope paradox reveals that epistemic-probability contexts are weakly hyper-intensional; that therefore, non-zero epistemic probabilities sometimes accrue to epistemic possibilities that are not metaphysical possibilities; that therefore, the available acts in a given decision problem sometimes can simultaneously possess several different kinds of non-standard expected utility that rank the acts incompatibly. The sorites paradox reveals that a certain kind of logical incoherence is inherent to vagueness, and that therefore, ontological vagueness is impossible. The Sleeping Beauty problem reveals that some questions of probability are properly answered using a generalized variant of standard conditionalization that is applicable to essentially indexical self-locational possibilities, and deploys "preliminary" probabilities of such possibilities that are not prior probabilities. The volume also includes three new essays: one on Newcomb's problem, one on the Sleeping Beauty problem, and an essay on epistemic probability that articulates and motivates a number of novel claims about epistemic probability that Horgan has come to espouse in the course of his writings on paradoxes. A common theme unifying these essays is that philosophically interesting paradoxes typically resist either easy solutions or solutions that are formally/mathematically highly technical. Another unifying theme is that such paradoxes often have deep-sometimes disturbing-philosophical morals.
Book Synopsis Explorations in Ancient and Modern Philosophy by : M. F. Burnyeat
Download or read book Explorations in Ancient and Modern Philosophy written by M. F. Burnyeat and published by Cambridge University Press. This book was released on 2012-06-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.
Book Synopsis Rethinking the Good by : Larry S. Temkin
Download or read book Rethinking the Good written by Larry S. Temkin and published by Oxford University Press. This book was released on 2012-01-20 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: In choosing between moral alternatives -- choosing between various forms of ethical action -- we typically make calculations of the following kind: A is better than B; B is better than C; therefore A is better than C. These inferences use the principle of transitivity and are fundamental to many forms of practical and theoretical theorizing, not just in moral and ethical theory but in economics. Indeed they are so common as to be almost invisible. What Larry Temkin's book shows is that, shockingly, if we want to continue making plausible judgments, we cannot continue to make these assumptions. Temkin shows that we are committed to various moral ideals that are, surprisingly, fundamentally incompatible with the idea that "better than" can be transitive. His book develops many examples where value judgments that we accept and find attractive, are incompatible with transitivity. While this might seem to leave two options -- reject transitivity, or reject some of our normative commitments in order to keep it -- Temkin is neutral on which path to follow, only making the case that a choice is necessary, and that the cost either way will be high. Temkin's book is a very original and deeply unsettling work of skeptical philosophy that mounts an important new challenge to contemporary ethics.
Book Synopsis G-Dimensional Theory by : L. Stephen Young
Download or read book G-Dimensional Theory written by L. Stephen Young and published by Infinite Study. This book was released on 2002-07 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Principles of Reasoning by : Daniel Sommer Robinson
Download or read book The Principles of Reasoning written by Daniel Sommer Robinson and published by . This book was released on 1924 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Papers in Hellenistic Philosophy by : Jacques Brunschwig
Download or read book Papers in Hellenistic Philosophy written by Jacques Brunschwig and published by Cambridge University Press. This book was released on 1994-05-05 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection makes available in English twelve papers by the distinguished French scholar Professor Jacques Brunschwig. The essays deal with problems arising in the texts and doctrines of the three major philosophical schools of the Hellenistic period - Epicureanism, Stoicism and Scepticism.
Book Synopsis Vagueness and Contradiction by : Roy A. Sorensen
Download or read book Vagueness and Contradiction written by Roy A. Sorensen and published by Oxford University Press. This book was released on 2004 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did Buddha become a fat man in one second? Is there a tallest short giraffe? Epistemicists answer 'Yes!' They believe that any predicate that divides things divides them sharply. They solve the ancient sorites paradox by picturing vagueness as a kind of ignorance. The alternative solutions are radical. They either reject classical theorems or inference rules or reject our common sense view of what can exist. Epistemicists spare this central portion of our web of belief by challenging peripheral intuitions about the nature of language. So why is this continuation of the status quo so incredible? Why do epistemicists themselves have trouble believing their theory? In Vagueness and Contradiction Roy Sorensen traces our incredulity to linguistic norms that build upon our psychological tendencies to round off insignificant differences. These simplifying principles lead to massive inconsistency, rather like the rounding off errors of calculators with limited memory. English entitles speakers to believe each 'tolerance conditional' such as those of the form 'If n is small, then n + 1 is small.' The conjunction of these a priori beliefs entails absurd conditionals such as 'If 1 is small, then a billion is small.' Since the negation of this absurdity is an a priori truth, our a priori beliefs about small numbers are jointly inconsistent. One of the tolerance conditionals, at the threshold of smallness, must be an analytic falsehood that we are compelled to regard as a tautology. Since there are infinitely many analytic sorites arguments, Sorensen concludes that we are obliged to believe infinitely many contradictions. These contradictions are not specifically detectable. They are ineliminable, like the heat from a light bulb. Although the light bulb is not designed to produce heat, the heat is inevitably produced as a side-effect of illumination. Vagueness can be avoided by representational systems that make no concession to limits of perception, or memory,or testimony. But quick and rugged representational systems, such as natural languages, will trade 'rationality' for speed and flexibility. Roy Sorensen defends epistemicism in his own distinctive style, inventive and amusing. But he has some serious things to say about language and logic, about the way the world is and about our understanding of it.
