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  1. Bilateralism and the modalities of assertion and denial.Nils Kürbis - 2024 - Theoria 90 (2):177-190.
    Rumfitt has given two arguments that in unilateralist verificationist theories of meaning, truth collapses into correct assertibility. In the present paper I give similar arguments that show that in unilateral falsificationist theories of meaning, falsehood collapses into correct deniability. According to bilateralism, meanings are determined by assertion and denial conditions, so the question arises whether it succumbs to similar arguments. I show that this is not the case. The final section considers the question whether a principle central to Rumfitt's first (...)
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  • Supervaluationism, Modal Logic, and Weakly Classical Logic.Joshua Schechter - 2024 - Journal of Philosophical Logic 53 (2):411-61.
    A consequence relation is strongly classical if it has all the theorems and entailments of classical logic as well as the usual meta-rules (such as Conditional Proof). A consequence relation is weakly classical if it has all the theorems and entailments of classical logic but lacks the usual meta-rules. The most familiar example of a weakly classical consequence relation comes from a simple supervaluational approach to modelling vague language. This approach is formally equivalent to an account of logical consequence according (...)
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  • Two incomplete anti-realist modal epistemic logics.Timothy Williamson - 1990 - Journal of Symbolic Logic 55 (1):297-314.
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  • Inverses for normal modal operators.Lloyd Humberstone & Timothy Williamson - 1997 - Studia Logica 59 (1):33-64.
    Given a 1-ary sentence operator , we describe L - another 1-ary operator - as as a left inverse of in a given logic if in that logic every formula is provably equivalent to L. Similarly R is a right inverse of if is always provably equivalent to R. We investigate the behaviour of left and right inverses for taken as the operator of various normal modal logics, paying particular attention to the conditions under which these logics are conservatively extended (...)
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  • Contrariety re-encountered: nonstandard contraries and internal negation*.Lloyd Humberstone - 2023 - Logic Journal of the IGPL 31 (6):1084-1134.
    This discussion explores the possibility of distinguishing a tighter notion of contrariety evident in the Square of Opposition, especially in its modal incarnations, than as that binary relation holding statements that cannot both be true, with or without the added rider ‘though can both be false’. More than one theorist has voiced the intuition that the paradigmatic contraries of the traditional Square are related in some such tighter way—involving the specific role played by negation in contrasting them—that distinguishes them from (...)
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