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Justification logics are modal-like logics that provide a framework for reasoning about justifications. This paper introduces labeled sequent calculi for justification logics, as well as for combined modal-justification logics. Using a method due to Sara Negri, we internalize the Kripke-style semantics of justification and modal-justification logics, known as Fitting models, within the syntax of the...
In this paper, I reconstruct Quineʼs arguments against quantified modal logic, from the early 1940ʼs to the early 1960ʼs. Quineʼs concerns were not technical. Quine was looking for a coherent interpretation of quantified-in English modal sentences. I argue that Quineʼs main thesis is that the intended objectual interpretation of the quantifiers is incompatible with any semantic reading of the modal...
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