The Sorites Principle

The Sorites Principle

Author: Ian Gibbs

Publisher:

Published: 2016-10-27

Total Pages: 300

ISBN-13: 9788494521348

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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.


Vagueness

Vagueness

Author: Kit Fine

Publisher: Rutgers Lectures in Philosophy

Published: 2020

Total Pages: 121

ISBN-13: 0197514952

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Vagueness is a subject of long-standing interest in the philosophy of language, metaphysics, and philosophical logic. Numerous accounts of vagueness have been proposed in the literature but there has been no general consensus on which, if any, should be be accepted. Kit Fine here presents a new theory of vagueness based on the radical hypothesis that vagueness is a "global" rather than a "local" phenomenon. In other words, according to Fine, the vagueness of an object or expression cannot properly be considered except in its relation to other objects or other expressions. He then applies the theory to a variety of topics in logic, metaphysics and epistemology, including the sorites paradox, the problem of personal identity, and the transparency of mental phenomenon. This is the inaugural volume in the Rutgers Lectures in Philosophy series, presenting lectures from the most important contemporary thinkers in the discipline.


The Sorites Paradox

The Sorites Paradox

Author: Sergi Oms

Publisher: Cambridge University Press

Published: 2019-10-10

Total Pages: 345

ISBN-13: 1107163994

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Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.


Paradox Lost

Paradox Lost

Author: Michael Huemer

Publisher: Springer

Published: 2018-06-28

Total Pages: 278

ISBN-13: 3319904906

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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.


Essays on Paradoxes

Essays on Paradoxes

Author: Terry Horgan

Publisher: Oxford University Press

Published: 2017

Total Pages: 337

ISBN-13: 019985842X

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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.


Explorations in Ancient and Modern Philosophy

Explorations in Ancient and Modern Philosophy

Author: M. F. Burnyeat

Publisher: Cambridge University Press

Published: 2012-06-14

Total Pages: 393

ISBN-13: 0521750725

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The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.


Rethinking the Good

Rethinking the Good

Author: Larry S. Temkin

Publisher: Oxford University Press

Published: 2012-01-20

Total Pages: 639

ISBN-13: 0190208651

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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.


Saving Truth From Paradox

Saving Truth From Paradox

Author: Hartry Field

Publisher: OUP Oxford

Published: 2008-03-06

Total Pages: 432

ISBN-13: 0191528161

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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.