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Eduardo Barrio & Lavinia Picollo (2013). Notes on Ω-Inconsistent Theories of Truth in Second-Order Languages.

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  1.  30
    Truth Without Standard Models: Some Conceptual Problems Reloaded.Eduardo Barrio & Bruno Da Ré - 2018 - Journal of Applied Non-Classical Logics 28 (1):122-139.
    A theory of truth is usually demanded to be consistent, but -consistency is less frequently requested. Recently, Yatabe has argued in favour of -inconsistent first-order theories of truth, minimising their odd consequences. In view of this fact, in this paper, we present five arguments against -inconsistent theories of truth. In order to bring out this point, we will focus on two very well-known -inconsistent theories of truth: the classical theory of symmetric truth FS and the non-classical theory of naïve truth (...)
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  2.  11
    In Praise of a Logic of Definitions That Tolerates Ω‐Inconsistency.Anil Gupta - 2018 - Philosophical Issues 28 (1):176-195.