Three-valued plurivaluationism of vague predicates

Wen Fang Wang*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


Disagreeing with most authors on vagueness, the author proposes a solution that he calls “three-valued plurivaluationism” to the age-old sorites paradox. In essence, it is a three-valued semantics for a first-order language with identity with the additional suggestion that a vague language has more than one correct interpretation. Unlike the t raditionalthree-valued approach to a vague language, the so-called threevalued plurivaluationism, so the author argues, can accommodate the phenomenon of higher-order vagueness. And, unlike the traditional threevalued approach to a vague language, the so-called three-valued purivaluationism, so the author argues, can also accommodate the phenomenon of penumbral connection when equipped with “suitable conditionals”. The author also shows that this three-valued purivaluationism is a natural consequence of a restricted form of Tolerance Principle (TR) and a few related ideas, and argues that (TR) is well-motivated by considerations of how we learn, teach, and use vague predicates.

Original languageEnglish
Title of host publicationLogic, Rationality, and Interaction - 5th International Workshop, LORI 2015, Proceedings
EditorsWen-Fang Wang, Wiebe van der Hoek, Wesley H. Holliday
PublisherSpringer Verlag
Number of pages13
ISBN (Print)9783662485606
StatePublished - 2015
Event5th International Workshop on Logic, Rationality, and Interaction, LORI 2015 - Taipei, Taiwan
Duration: 28 Oct 201531 Oct 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference5th International Workshop on Logic, Rationality, and Interaction, LORI 2015


  • Conditionals
  • Plurivationism
  • Sorites paradox
  • Three-valued semantics
  • Tolerance principle
  • Vagueness


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