Three-valued semantic pluralism
a defense of a three-valued solution to the sorites paradox
pp. 4441-4476
Abstract
Disagreeing with most authors on vagueness, the author proposes a solution that he calls ‘three-valued semantic pluralism’ to the age-old sorites paradox. In essence, it is a three-valued semantics for a first-order vague language with identity with the additional suggestion that a vague language has more than one correct interpretation. Unlike the traditional three-valued approach to a vague language, three-valued semantic pluralism can accommodate the phenomenon of higher-order vagueness and the phenomenon of penumbral connection when equipped with ‘suitable conditionals’. The author also shows that three-valued semantic pluralism is a natural consequence of a restricted form of the Tolerance principle ((hbox {T}_R)) and a few related ideas, and argues that ((hbox {T}_R)) is well-motivated by considerations about how we learn, teach, and use vague predicates.
Publication details
Published in:
van der Hoek Wiebe, Holliday Wesley H., Wang Wen-fang (2018) Logic, rationality and interaction (LORI-5). Synthese 195 (10).
Pages: 4441-4476
DOI: 10.1007/s11229-017-1517-6
Full citation:
Wang Wen-fang (2018) „Three-valued semantic pluralism: a defense of a three-valued solution to the sorites paradox“. Synthese 195 (10), 4441–4476.