Further Reflections on the Sorites Paradox
This chapter revisits certain of the issues of Chapters 1 and 2. It is argued that Dummett’s ‘incoherentist’ response to the Sorites is unacceptable, and urges that we should distinguish a variety of types of Sorites, as individuated by the differing motivations for their various respective major premises, including what are here termed the No Sharp Boundaries paradox and the Tachometer paradox. The chapter rejects Christopher Peacocke’s contention that the major premises for Sorites can be motivated under the aegis of a behaviouristic conception of linguistic competence, so that jettison of the Governing View is beside the point as a response to Sorites paradoxes. It musters six objections to Peacocke’s own treatment of the Sorites, as representative of degree-theoretic approaches to vagueness in general. The chapter includes further discussion of the relationship between tolerance and observationality.