The Revision Theory of Truth

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Author: Anil Gupta

ISBN-10: 0262071444

ISBN-13: 9780262071444

Category: Major Branches of Philosophical Study

In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its...

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In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. Booknews Truth is a circular concept in which we see both the ordinary features and the puzzling features fall into a simple and understandable pattern, say two scholars of philosophy. They outline and defend their theory, describe and critique the "fixed-point" theory, and elaborate the basic mathematics they use. Annotation c. Book News, Inc., Portland, OR (booknews.com)

PrefaceAcknowledgments1The Problem of Truth and Paradox12Fixed Points: Some Basic Facts332APreliminary Matters332BDefinability and Indefinability of Truth492CCoherent Complete Partial Orders632DThe Transfer Theorem712EThe Extended Weak Kleene Scheme803Fixed Points and the Signification of Truth853AThe Proper Interpretation of Fixed Points853BExpressive Incompleteness and Hierarchies913CThe Signification Thesis1044The Revision Theory: An Informal Sketch1135A General Theory of Definitions1455AThe Semantical Systems S[subscript n]1475BCompleteness and Conservativeness1565CRevision Sequences and Their Properties1665DThe Semantical Systems S[superscript #] and S[superscript *]1826Truth, Categoricalness, and Necessity1996ATruth I: The Main Lemma1996BTruth II: Restricted Self-Reference2096CTruth III: Rich Self-Reference2186DThe Concept "Categorical in L"2296EThe Logical Grammar of Necessity2357Truth and Other Circular Concepts253Bibliography279Index287

\ BooknewsTruth is a circular concept in which we see both the ordinary features and the puzzling features fall into a simple and understandable pattern, say two scholars of philosophy. They outline and defend their theory, describe and critique the "fixed-point" theory, and elaborate the basic mathematics they use. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \