Past Issues

Studies in Informatics and Control
Vol. 7, No. 3, 1998

Vague Concepts and Sorites Paradoxes

Vlad Vieru
Abstract

The purpose of this article is the study of certain aspects regarding the indetermination introduced by vague concepts and, in particular, the explanation of sorites paradoxes. In the first part of the article, I will show that any theory on vague concepts must consider not only the relations between concepts and objects, but also the attitude of the users regarding these relations. Consistent to this point of view, the containing vague concepts will not be regarded as abstract descriptions. We will suggest instead an approach focusing on the individual descriptions belonging to various users at different moments in time. Based on this formal model and the associated semantics, we will show that sorites paradoxes are only apparently logic paradoxes. In fact, any sorites judgement speculates on our psychological difficulties in classifying objects versus one property or another.

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