Vagueness and Extensionality

Abstract. We introduce a property of set to represent vagueness without using truth value. It has gotten less attention in fuzzy set theory. We introduce it by analyzing a well-known philosophical argument by Gearth Evans. To interpret ‘a is a vague object’ as ‘the Axiom of Extensionality is violated for a’ allows us to represent a vague object in Evans’s sense, even within classical logic, and of course within fuzzy logic.

• Type: Conference
• Year: 2005
• Where: FSKD
• Authors: Shunsuke Yatabe, Hiroyuki Inaoka
• Keywords: FSKD 2005, Fuzzy Set Theory, Vague Object, Well-known Philosophical Argument