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Defining double negation elimination
Logic Journal of the IGPL 8 (6):853-860 (2000)
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 thesesAuthor's Profile
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Citations of this work
Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Negation in the Context of Gaggle Theory.J. Michael Dunn & Chunlai Zhou - 2005 - Studia Logica 80 (2):235-264.
Why Must Incompatibility Be Symmetric?Ryan Simonelli - 2024 - Philosophical Quarterly 74 (2):658-682.
Semantics and Proof Theory of the Epsilon Calculus.Richard Zach - 2017 - In Ghosh Sujata & Prasad Sanjiva (eds.), Logic and Its Applications. ICLA 2017. Springer. pp. 27-47.
Contrapositionally complemented Heyting algebras and intuitionistic logic with minimal negation.Anuj Kumar More & Mohua Banerjee - 2023 - Logic Journal of the IGPL 31 (3):441-474.
References found in this work
Star and perp: Two treatments of negation.J. Michael Dunn - 1993 - Philosophical Perspectives 7:331-357.
Negation in Relevant Logics (How I Stopped Worrying and Learned to Love the Routley star).Greg Restall - 1999 - In Dov M. Gabbay & Heinrich Wansing (eds.), What Is Negation? Springer. pp. 53-76.
Generalized onrno negation.J. Michael Dunn - 1996 - In Heinrich Wansing (ed.), Negation: a notion in focus. New York: W. de Gruyter. pp. 7--3.
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