Book

New Essays on the Knowability Paradox

Edited by Joe Salerno

Published in print June 2009 | ISBN: 9780199285495
Published online September 2010 | e-ISBN: 9780191713972 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199285495.001.0001
New Essays on the Knowability Paradox

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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 book assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The book 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.

Keywords: Alonzo Church; Frederic Fitch; ignorance; truth; knowability paradox; constructivism; paraconsistency; logic; factionalism

Book.  392 pages.  Illustrated.

Subjects: Philosophy

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Table of Contents

Introduction in New Essays on the Knowability Paradox

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Referee Reports on Fitch's “A Definition of Value” in New Essays on the Knowability Paradox

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A Logical * Analysis of Some Value Concepts <sup>1</sup> in New Essays on the Knowability Paradox

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Knowability Noir: 1945–1963 in New Essays on the Knowability Paradox

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Fitch's Paradox of Knowability in New Essays on the Knowability Paradox

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The Paradox of Knowability and the Mapping Objection in New Essays on the Knowability Paradox

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Truth, Indefinite Extensibility, and Fitch's Paradox in New Essays on the Knowability Paradox

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Beyond the Limits of Knowledge in New Essays on the Knowability Paradox

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Knowability and Possible Epistemic Oddities in New Essays on the Knowability Paradox

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Actions That Make Us Know in New Essays on the Knowability Paradox

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