Bilateralism, collapsing modalities, and the logic of assertion and denial

Theoria 90 (2):177-190 (2024)
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Abstract

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 argument, ‘It is assertible that if and only if it is assertible that it is assertible that ’, is one that bilateralists can reject, and concludes that they cannot. It follows that the logic of assertibility and deniability, according to a result by Williamson, is the little known modal logic K4 studied by Sobociński. The paper ends with a plaidoyer for bilateralists to adopt this logic.

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Nils Kürbis
Ruhr-Universität Bochum

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References found in this work

Truth and objectivity.Crispin Wright - 1992 - Cambridge: Harvard University Press.
The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Truth and Other Enigmas.Michael Dummett - 1978 - British Journal for the Philosophy of Science 32 (4):419-425.
What is a Theory of Meaning? (II).Michael Dummett - 1976 - In Gareth Evans & John McDowell, What is a Theory of Meaning? Oxford: Clarendon Press.
The Logical Basis of Metaphysics.Michael Dummett, Hilary Putnam & James Conant - 1994 - Philosophical Quarterly 44 (177):519-527.

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