Defining double negation elimination

Logic Journal of the IGPL 8 (6):853-860 (2000)
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Abstract

In his paper 'Generalised Ortho Negation' [2] J.Michael Dunn mentions a claim of mine to the effect that there is no condition on 'perp frames' equivalent to the holding of double negation elimination ∼∼A ⊩ A. That claim is wrong. In this paper I correct my error and analyse the behaviour of conditions on frames for negations which verify a number of different theses

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2009-01-28

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Greg Restall
University of Melbourne

Citations of this work

Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Why Must Incompatibility Be Symmetric?Ryan Simonelli - 2024 - Philosophical Quarterly 74 (2):658-682.
Substructural Negations.Takuro Onishi - 2015 - Australasian Journal of Logic 12 (4).

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References found in this work

Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley star).Greg Restall - 1999 - In Dov Gabbay & Heinrich Wansing (eds.), What is Negation? Kluwer Academic Publishers. pp. 53-76.
Star and perp: Two treatments of negation.J. Michael Dunn - 1993 - Philosophical Perspectives 7:331-357.
Generalized onrno negation.J. Michael Dunn - 1996 - In Heinrich Wansing (ed.), Negation: a notion in focus. New York: W. de Gruyter. pp. 7--3.
Combining possibilities and negations.Greg Restall - 1997 - Studia Logica 59 (1):121-141.

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