A Theory of Truth

Yannis Stephanou (National and Kapodistrian University of Athens)

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English

Cambridge University Press
12 October 2023

Philosophy of language; Philosophy: logic; Mathematical logic

Series: Lecture Notes in Logic

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.

By: Yannis Stephanou (National and Kapodistrian University of Athens)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 159mm, Spine: 27mm
Weight: 680g
ISBN: 9781009437189
ISBN 10: 1009437186
Series: Lecture Notes in Logic
Pages: 357
Publication Date: 12 October 2023
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

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.

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.