The Knowability Paradox

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The Knowability Paradox

Author : Jonathan L. Kvanvig
Publisher : OUP Oxford
ISBN 13 : 0191536083
Total Pages : 232 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Knowability Paradox by : Jonathan L. Kvanvig

Download or read book The Knowability Paradox written by Jonathan L. Kvanvig and published by OUP Oxford. This book was released on 2006-02-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paradox of knowability, derived from a proof by Frederic Fitch in 1963, is one of the deepest paradoxes concerning the nature of truth. Jonathan Kvanvig argues that the depth of the paradox has not been adequately appreciated. It has long been known that the paradox threatens antirealist conceptions of truth according to which truth is epistemic. If truth is epistemic, what better way to express that idea than to maintain that all truths are knowable? In the face of the paradox, however, such a characterization threatens to undermine antirealism. If Fitch's proof is valid, then one can be an antirealist of this sort only by endorsing the conclusion of the proof that all truths are known. Realists about truth have tended to stand on the sidelines and cheer the difficulties faced by their opponents from Fitch's proof. Kvanvig argues that this perspective is wholly unwarranted. He argues that there are two problems raised by the paradox, one that threatens antirealism about truth and the other that threatens everybody's view about truth, realist or antirealist. The problem facing antirealism has had a number of proposed solutions over the past 40 years, and the results have not been especially promising with regard to the first problem. The second problem has not even been acknowledged, however, and the proposals regarding the first problem are irrelevant to the second problem. This book thus provides a thorough investigation of the literature on the paradox, and also proposes a solution to the deeper of the two problems raised by Fitch's proof. It provides a complete picture of the paradoxicality that results from Fitch's proof, and presents a solution to the paradox that claims to address both problems raised by the original proof.

New Essays on the Knowability Paradox

Author : Joe Salerno
Publisher : OUP Oxford
ISBN 13 : 0191608688
Total Pages : 392 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis New Essays on the Knowability Paradox by : Joe Salerno

Download or read book New Essays on the Knowability Paradox written by Joe Salerno and published by OUP Oxford. This book was released on 2009-06-04 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Ever since, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability. This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. The volume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modal and temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.

The Knowability Paradox

Author : Jonathan L. Kvanvig
Publisher : Oxford University Press
ISBN 13 : 9780199282593
Total Pages : 233 pages
Book Rating : 4.2/5 (825 download)

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Book Synopsis The Knowability Paradox by : Jonathan L. Kvanvig

Download or read book The Knowability Paradox written by Jonathan L. Kvanvig and published by Oxford University Press. This book was released on 2006-02-09 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paradox of knowability, derived from a proof by Frederic Fitch in 1963, is one of the deepest paradoxes concerning the nature of truth. Jonathan Kvanvig argues that the depth of the paradox has not been adequately appreciated. It has long been known that the paradox threatens antirealist conceptions of truth according to which truth is epistemic. If truth is epistemic, what better way to express that idea than to maintain that all truths are knowable? In the face of theparadox, however, such a characterization threatens to undermine antirealism. If Fitch's proof is valid, then one can be an antirealist of this sort only by endorsing the conclusion of the proof that all truths are known.Realists about truth have tended to stand on the sidelines and cheer the difficulties faced by their opponents from Fitch's proof. Kvanvig argues that this perspective is wholly unwarranted. He argues that there are two problems raised by the paradox, one that threatens antirealism about truth and the other that threatens everybody's view about truth, realist or antirealist. The problem facing antirealism has had a number of proposed solutions over the past 40 years, and the results have notbeen especially promising with regard to the first problem. The second problem has not even been acknowledged, however, and the proposals regarding the first problem are irrelevant to the second problem.This book thus provides a thorough investigation of the literature on the paradox, and also proposes a solution to the deeper of the two problems raised by Fitch's proof. It provides a complete picture of the paradoxicality that results from Fitch's proof, and presents a solution to the paradox that claims to address both problems raised by the original proof.

Conditionals, Paradox, and Probability

Author : Lee Walters
Publisher : Oxford University Press, USA
ISBN 13 : 0198712731
Total Pages : 279 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Conditionals, Paradox, and Probability by : Lee Walters

Download or read book Conditionals, Paradox, and Probability written by Lee Walters and published by Oxford University Press, USA. This book was released on 2021-02-04 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditionals, Paradox, and Probability comprises fifteen original essays on themes from the work of Dorothy Edgington, the first woman to hold a chair in philosophy at Oxford. Eminent contributors from philosophy and linguistics discuss a range of topics including conditionals, vagueness, knowledge, reasoning, and probability.

Logic, Epistemology, and the Unity of Science

Author : Shahid Rahman
Publisher : Springer Science & Business Media
ISBN 13 : 1402028083
Total Pages : 618 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Logic, Epistemology, and the Unity of Science by : Shahid Rahman

Download or read book Logic, Epistemology, and the Unity of Science written by Shahid Rahman and published by Springer Science & Business Media. This book was released on 2009-03-15 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.

Paradoxes from A to Z

Author : Michael Clark
Publisher : Psychology Press
ISBN 13 : 9780415228084
Total Pages : 234 pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Paradoxes from A to Z by : Michael Clark

Download or read book Paradoxes from A to Z written by Michael Clark and published by Psychology Press. This book was released on 2002 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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?

The Law of Non-Contradiction

Author : Graham Priest
Publisher : Clarendon Press
ISBN 13 : 0191548065
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Law of Non-Contradiction by : Graham Priest

Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

Advances in Proof-Theoretic Semantics

Author : Thomas Piecha
Publisher : Springer
ISBN 13 : 331922686X
Total Pages : 281 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advances in Proof-Theoretic Semantics by : Thomas Piecha

Download or read book Advances in Proof-Theoretic Semantics written by Thomas Piecha and published by Springer. This book was released on 2015-10-24 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

Good and Real

Author : Gary L. Drescher
Publisher : MIT Press
ISBN 13 : 0262042339
Total Pages : 365 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Good and Real by : Gary L. Drescher

Download or read book Good and Real written by Gary L. Drescher and published by MIT Press. This book was released on 2006 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining a series of provocative paradoxes about consciousness, choice, ethics, and other topics, Good and Real tries to reconcile a purely mechanical view of the universe with key aspects of our subjective impressions of our own existence. In Good and Real, Gary Drescher examines a series of provocative paradoxes about consciousness, choice, ethics, quantum mechanics, and other topics, in an effort to reconcile a purely mechanical view of the universe with key aspects of our subjective impressions of our own existence. Many scientists suspect that the universe can ultimately be described by a simple (perhaps even deterministic) formalism; all that is real unfolds mechanically according to that formalism. But how, then, is it possible for us to be conscious, or to make genuine choices? And how can there be an ethical dimension to such choices? Drescher sketches computational models of consciousness, choice, and subjunctive reasoning--what would happen if this or that were to occur? --to show how such phenomena are compatible with a mechanical, even deterministic universe. Analyses of Newcomb's Problem (a paradox about choice) and the Prisoner's Dilemma (a paradox about self-interest vs. altruism, arguably reducible to Newcomb's Problem) help bring the problems and proposed solutions into focus. Regarding quantum mechanics, Drescher builds on Everett's relative-state formulation--but presenting a simplified formalism, accessible to laypersons--to argue that, contrary to some popular impressions, quantum mechanics is compatible with an objective, deterministic physical reality, and that there is no special connection between quantum phenomena and consciousness. In each of several disparate but intertwined topics ranging from physics to ethics, Drescher argues that a missing technical linchpin can make the quest for objectivity seem impossible, until the elusive technical fix is at hand.

Jaakko Hintikka on Knowledge and Game-Theoretical Semantics

Author : Hans van Ditmarsch
Publisher : Springer
ISBN 13 : 331962864X
Total Pages : 634 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Jaakko Hintikka on Knowledge and Game-Theoretical Semantics by : Hans van Ditmarsch

Download or read book Jaakko Hintikka on Knowledge and Game-Theoretical Semantics written by Hans van Ditmarsch and published by Springer. This book was released on 2018-01-31 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory. This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka’s career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters. The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.

Structural Proof Theory

Author : Sara Negri
Publisher : Cambridge University Press
ISBN 13 : 9780521068420
Total Pages : 279 pages
Book Rating : 4.0/5 (684 download)

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Book Synopsis Structural Proof Theory by : Sara Negri

Download or read book Structural Proof Theory written by Sara Negri and published by Cambridge University Press. This book was released on 2008-07-10 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs.

Applications of Formal Philosophy

Author : Rafał Urbaniak
Publisher : Springer
ISBN 13 : 331958507X
Total Pages : 261 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Applications of Formal Philosophy by : Rafał Urbaniak

Download or read book Applications of Formal Philosophy written by Rafał Urbaniak and published by Springer. This book was released on 2017-09-05 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features mathematical and formal philosophers’ efforts to understand philosophical questions using mathematical techniques. It offers a collection of works from leading researchers in the area, who discuss some of the most fascinating ways formal methods are now being applied. It covers topics such as: the uses of probable and statistical reasoning, rational choice theory, reasoning in the environmental sciences, reasoning about laws and changes of rules, and reasoning about collective decision procedures as well as about action. Utilizing mathematical techniques has been very fruitful in the traditional domains of formal philosophy – logic, philosophy of mathematics and metaphysics – while formal philosophy is simultaneously branching out into other areas in philosophy and the social sciences. These areas particularly include ethics, political science, and the methodology of the natural and social sciences. Reasoning about legal rules, collective decision-making procedures, and rational choices are of interest to all those engaged in legal theory, political science and economics. Statistical reasoning is also of interest to political scientists and economists.

The Taming of the True

Author : Neil Tennant
Publisher : Oxford University Press
ISBN 13 : 9780199251605
Total Pages : 488 pages
Book Rating : 4.2/5 (516 download)

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Book Synopsis The Taming of the True by : Neil Tennant

Download or read book The Taming of the True written by Neil Tennant and published by Oxford University Press. This book was released on 1997 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Taming of the True defends and develops global semantic anti-realism. Neil Tennant argues compellingly that every truth is knowable, and that manifestationism in the theory of meaning entails logical reform. He extends semantic anti-realism to empirical discourse, developing new accounts of the analytic/synthetic distinction, cognitive significance and constructive falsifiability. The book has important consequences for the philosophy of mathematics and logic, the theory of meaning, metaphysics, and epistemology.

Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments

Author : Kevin McCain
Publisher : Routledge
ISBN 13 : 1000417026
Total Pages : 200 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments by : Kevin McCain

Download or read book Epistemology: 50 Puzzles, Paradoxes, and Thought Experiments written by Kevin McCain and published by Routledge. This book was released on 2021-07-26 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Essays on the Knowability Paradox

Author : Joe Salerno
Publisher : Oxford University Press, USA
ISBN 13 : 0199285497
Total Pages : 386 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis New Essays on the Knowability Paradox by : Joe Salerno

Download or read book New Essays on the Knowability Paradox written by Joe Salerno and published by Oxford University Press, USA. This book was released on 2009-06-04 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The knowability paradox suggests that wherever there is empirical ignorance there is also logically unknowable truth. This volume presents the original papers in which this notorious problem was first set out, nineteen new papers seeking to resolve it, and a helpful introduction. It will be the definitive resource for study of the paradox.

Oxford Studies in Philosophy of Religion Volume 5

Author : Jonathan Kvanvig
Publisher : Oxford Studies in Philosophy o
ISBN 13 : 0198704771
Total Pages : 273 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Oxford Studies in Philosophy of Religion Volume 5 by : Jonathan Kvanvig

Download or read book Oxford Studies in Philosophy of Religion Volume 5 written by Jonathan Kvanvig and published by Oxford Studies in Philosophy o. This book was released on 2014-04 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oxford Studies in Philosophy of Religion is an annual volume offering a regular snapshot of state-of-the-art work in this longstanding area of philosophy that has seen an explosive growth of interest over the past half century. Under the guidance of a distinguished editorial board, it publishes exemplary papers in any area of philosophy of religion.

Knowledge, Proof and Dynamics

Author : Fenrong Liu
Publisher : Springer
ISBN 13 : 9789811522208
Total Pages : 217 pages
Book Rating : 4.5/5 (222 download)

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Book Synopsis Knowledge, Proof and Dynamics by : Fenrong Liu

Download or read book Knowledge, Proof and Dynamics written by Fenrong Liu and published by Springer. This book was released on 2020-03-24 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers selected papers presented at the Fourth Asian Workshop on Philosophical Logic, held in Beijing in October 2018. The contributions cover a wide variety of topics in modal logic (epistemic logic, temporal logic and dynamic logic), proof theory, algebraic logic, game logics, and philosophical foundations of logic. They also reflect the interdisciplinary nature of logic – a subject that has been studied in fields as diverse as philosophy, linguistics, mathematics, computer science and artificial intelligence. More specifically. The book also presents the latest developments in logic both in Asia and beyond.