A Theory of Truth
How should we treat the liar and kindred paradoxes? A Theory of Truth argues that we should diverge from classical logic, and presents a new formal theory of truth. The theory does not incorporate contradictions and is not substructural, but deviates from classical logic significantly, and endorses principles like 'No sentence is both true and false' and 'No sentence is neither true nor false'. The book starts with an introduction to the paradoxes, suitable for newcomers to the subject, before presenting its approach. Four versions of the theory are covered, extending the theory to a determinacy operator and to a full first-order language with quantifiers. Each includes all Tarskian biconditionals that can be formulated in its language. The author uses original methods to prove the consistency of each version and compares the theory to alternative non-classical theories, including Field's paracomplete approach, Ripley's nontransitive system and Zardini's contraction-free calculus.
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A Theory of Truth
How should we treat the liar and kindred paradoxes? A Theory of Truth argues that we should diverge from classical logic, and presents a new formal theory of truth. The theory does not incorporate contradictions and is not substructural, but deviates from classical logic significantly, and endorses principles like 'No sentence is both true and false' and 'No sentence is neither true nor false'. The book starts with an introduction to the paradoxes, suitable for newcomers to the subject, before presenting its approach. Four versions of the theory are covered, extending the theory to a determinacy operator and to a full first-order language with quantifiers. Each includes all Tarskian biconditionals that can be formulated in its language. The author uses original methods to prove the consistency of each version and compares the theory to alternative non-classical theories, including Field's paracomplete approach, Ripley's nontransitive system and Zardini's contraction-free calculus.
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A Theory of Truth

A Theory of Truth

by Yannis Stephanou
A Theory of Truth

A Theory of Truth

by Yannis Stephanou

Overview

How should we treat the liar and kindred paradoxes? A Theory of Truth argues that we should diverge from classical logic, and presents a new formal theory of truth. The theory does not incorporate contradictions and is not substructural, but deviates from classical logic significantly, and endorses principles like 'No sentence is both true and false' and 'No sentence is neither true nor false'. The book starts with an introduction to the paradoxes, suitable for newcomers to the subject, before presenting its approach. Four versions of the theory are covered, extending the theory to a determinacy operator and to a full first-order language with quantifiers. Each includes all Tarskian biconditionals that can be formulated in its language. The author uses original methods to prove the consistency of each version and compares the theory to alternative non-classical theories, including Field's paracomplete approach, Ripley's nontransitive system and Zardini's contraction-free calculus.

Product Details

ISBN-13: 9781009437189
Publisher: Cambridge University Press
Publication date: 10/12/2023
Series: Lecture Notes in Logic , #55
Pages: 357
Product dimensions: 6.26(w) x 9.25(h) x 1.06(d)

About the Author

Yannis Stephanou is Associate Professor at the Department of History and Philosophy of Science in the University of Athens in Greece. He previously taught at King's College London and the University of Cambridge and has published extensively in philosophical logic, philosophy of language, metaphysics and ancient philosophy.

Table of Contents

1. Aspects of paradox; 2. Against classical logic; 3. Ambiguity and indexicality; 4. A propositional theory of truth; 5. Proving central theorem 1; 6. Truth and determinacy; 7. A first-order logic and theory of truth; 8. Proving central theorem 4; 9. Another first-order theory of truth; 10. Truth in different non-classical logics; Afterword; References; Index.
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