This paper explores trivalent truth conditions for indicative conditionals, examining the
“defective” truth table proposed by de Finetti (1936) and Reichenbach (1935, 1944). On their …

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 …

Several definitions of logical consequence have been proposed in many-valued logic, which
coincide in the two-valued case, but come apart as soon as three truth values come into …

In the context of language, self-reference is used to denote a statement that refers to itself or
its own referent. The most famous example of a self-referential sentence is the liar …

In a recent paper, Barrio, Tajer and Rosenblatt establish a correspondence between
metainferences holding in the strict-tolerant logic of transparent truth ST+ and inferences …

Given a three-valued definition of validity, which choice of three-valued truth tables for the
connectives can ensure that the resulting logic coincides exactly with classical logic? We …

The principles of Conditional Excluded Middle (CEM) and Simplification of Disjunctive
Antecedents (SDA) have received substantial attention in isolation. Both principles are …

This paper examines the acceptance of so-called borderline contradictions involving vague
adjectives. A close look at the available data from previous studies points toward a …

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 …

Nonclassical theories of truth have in common that they reject principles of classical logic to
accommodate an unrestricted truth predicate. However, different nonclassical strategies give …