Ask not what bilateralist intuitionists can do for Cut, but what Cut can do for bilateralist intuitionism

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Abstract

On a bilateralist reading, sequents are interpreted as statements to the effect that, given the assertion of the antecedent it is incoherent to deny the succedent. This interpretation goes against its own ecumenical ambitions, endowing Cut with a meaning very close to that of tertium non datur and thus rendering it intuitionistically unpalatable. This paper explores a top-down route for arguing that, even intuitionistically, a prohibition to deny is as strong as a licence to assert.

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Bogdan Dicher
University of Witwatersrand

Citations of this work

Substructural heresies.Bogdan Dicher - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
The Logical Basis of Metaphysics.Michael Dummett, Hilary Putnam & James Conant - 1994 - Philosophical Quarterly 44 (177):519-527.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Studia Logica 87 (1):129-134.
ST, LP and Tolerant Metainferences.Bogdan Dicher & Francesco Paoli - 2019 - In Can Başkent & Thomas Macaulay Ferguson, Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 383-407.

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