A Theory of Truth
Published on 28. September 2023
360 pages
978-1-009-43716-5 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Illustrations
Worked examples or Exercises
File size
0,00 MB
ISBN-13
978-1-009-43716-5 (9781009437165)
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Schweitzer Classification
Other editions
Additional editions
Yannis Stephanou
A Theory of Truth
Book
10/2023
Cambridge University Press
€150.50
Shipment within 15-20 days
Person
Content
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.
