Validity in a dialetheist framework

Diego Tajer, Federico Pailos


In this paper, we develop two theories of validity in a dialetheist framework, both based on Meadows (2014). The first one, $LPV^{*}$, has LP's consequence relation but the validity predicate of Meadows' fixed-point construction. The second theory, DT (the one we favour), has a logical consequence defined in terms of its validity predicate. Therefore, in DT, the validity predicate and the consequence relation coincide. Moreover, this theory, unlike Meadows' VAL, is reflexive.


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