Nonclassical Logic of Vagueness


  • Paula Teijeiro Universidad de Buenos Aires



Sorites, vagueness, fuzzy logic, supervaluationism, subvaluationism


In this paper, we present a simple overview of the main non classical logics proposed for dealing with the Sorites paradox, that is, weakly paracomplete logics, weakly paraconsistent, and type 1 fuzzy logics. We note some of their advantages and problems and we suggest that the problems can be at least partially overcome by adopting a solution which relies on interval based type 2 fuzzy logics.


COOK, Roy (2002). "Vagueness and Mathematical Precision", Mind, New Series, Vol. 111, No. 442.

CORNELIS, Chris & DESCHRIJVER, Glad, et al. (2006). "Advances and challenges in interval-valued fuzzy logic", Fuzzy Sets and Systems 157.

EDGINGTON, Dorothy (1997). "Vagueness by Degrees", en Keefe y Smith (eds), Vagueness: a reader. Massachusetts: MIT Press.

FIELD, Hartry (2003). "Semantic Paradoxes and the Paradoxes of Vagueness", en Beall (ed.), Liars and Heaps. Oxford: Oxford University Press.

FINE, Kit (1975). "Vagueness, Truth and Logic", Synthese, Vol. 30, No. 3/4.

GOGUEN, Joseph (1969). "The logic of inexact concepts", Synthese No.19.

HÁJEK, Petr (2009). "On Vagueness, Truth Values and Fuzzy Logics", Studia Logica, Vol. 91, No. 3.

HYDE, Dominic (2008). Vagueness, logic and ontology. Ashgate new critical thinking in philosophy. New York: Routledge.

HYDE, Dominic (2010). "The prospects of a paraconsistent response to vagueness", en Cuts and Clouds, Dietz & Moruzzi (eds). Oxford University Press.

KEEFE, Rosanna (1998). "Vagueness by Numbers", Mind, New Series, Vol. 107, No. 427.

KEEFE, Rosanna (2000). Theories of vagueness. Cambridge: Cambridge University Press.

NOVÁK, Vilém & DVOŘÁK, Antonin. (2004). "Fuzzy Logic as a Methodology for the Treatment of Vagueness", Research report No. 59. Universidad de Ostrava.

SAINSBURY (1996). "Concepts Without Boundaries", en Keefe y Smith (eds) Vagueness: A Reader. Massachusetts: MIT Press.

SMITH, Nicholas J. J. (2008). Vagueness and degrees of truth. Oxford: Oxford University press.

VAN FRAASSEN, Bas (1966). "Singular Terms, Truth-Value Gaps, and Free Logic", The Journal of Philosophy, Vol. 63, No. 17.

VAN GASSE, Bart & CORNELIS, Chris, et al (2008). "A characterization of interval-valued residuated lattices", International Journal of Approximate Reasoning 49.

VARZI, Achille (2007). "Supervaluationism and its logics", Mind, 116 (463).

WILLIAMSON, Timothy (1994). Vagueness, London: Routledge.

WRIGHT, Crispin (1975). "On the coherence of vague predicates", Synthese, Vol. 30 (3-4).

ZADEH, Lotfi (1965). "Fuzzy sets", Information and Control, Vol 8.



How to Cite

Teijeiro, P. (2015). Nonclassical Logic of Vagueness. Revista De Humanidades De Valparaíso, (5), 7–16.




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