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Logic Journal of IGPL 2000 8(6):853-860; doi:10.1093/jigpal/8.6.853
© 2000 by Oxford University Press
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Defining double negation elimination

G Restall

Department of Philosophy, Macquarie University, Sydney 2109, Australia E-mail: Greg.Restall@mq.edu.au web: http://www.phil.mq.edu.au/staff/grestall/

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 {Vdash} 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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