It is not uncommon among theorists favoring a deviant logic on account of the semantic paradoxes to subscribe to an idea that has come to be known as ‘classical recapture’. The main thought underpinning it is that non-classical ...

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. ...

Rejecting the Cut rule has been proposed as a strategy to avoid both the usual semantic paradoxes and the so-called v-Curry paradox. In this paper we consider if a Cut-free theory is capable of accurately representing its ...

In the literature on self-referential paradoxes one of the hardest and most challenging problems is that of revenge. This problem can take many shapes, but, typically, it besets non-classical accounts of some semantic ...

The aim of this paper is to investigate various limiting results about the concept of validity. In particular, I argue that the higher-order logic with standard semantics cannot be sufficiently expressive to capture its ...

The aim of this paper is to investigate various limiting results about the concept of validity. In particular, I argue that assuming the absolute generality thesis, the higher-order logic with standard semantics and plural ...

It has been argued recently (Beall in Spandrels of truth, Oxford University Press, Oxford, 2009; Beall and Murzi J Philos 110:143–165, 2013) that dialetheist theories are unable to express the concept of naive validity. ...

Adding a transparent truth predicate to a language completely governed by classical logic is not possible. The trouble, as is well-known, comes from paradoxes such as the Liar and Curry. Recently, Cobreros, Egre, Ripley ...

After determining the existence of a justifying and interpretive relationship between law and morality, the Argentine philosopher Carlos Nino detected two apparent paradoxes that were derived from this link and that produced, ...

Bulow and Rogoff (Am Econ Rev 79(1):43-50, 1989) show that lending to small countries cannot be supported merely on the country's 'reputation for repayment' if exclusion from future credit markets is the only consequence ...