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  3. A Theory of Truth
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  • Publisher:
    Cambridge University Press
    Publication date:
    October 2023
    October 2023
    ISBN:
    9781009437141
    9781009437189
    DOI:
    https://doi.org/10.1017/9781009437141
    Dimensions:
    (229 x 152 mm)
    Weight & Pages:
    0.68kg, 358 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (55)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (55)
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    Book 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.

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