Oxford, England: Oxford University Press UK (2013)
Kevin Scharp proposes an original theory of the nature and logic of truth on which truth is an inconsistent concept that should be replaced for certain theoretical purposes. He argues that truth is best understood as an inconsistent concept, and proposes a detailed theory of inconsistent concepts that can be applied to the case of truth. Truth also happens to be a useful concept, but its inconsistency inhibits its utility; as such, it should be replaced with consistent concepts that can do truth's job without giving rise to paradoxes. To this end, Scharp offers a pair of replacements, which he dubs ascending truth and descending truth, along with an axiomatic theory of them and a new kind of possible-worlds semantics for this theory. He goes to develop Davidson's idea that truth is best understood as the core of a measurement system for rational phenomena, and offers a semantic theory that treats truth predicates as assessment-sensitive and solves the problems posed by the liar and other paradoxes.