Handling Vagueness in Logic, via Algebras and Games

Language and Logic Courses

Introductory Course

Handling Vagueness in Logic, via Algebras and Games, Serafina Lapenta (University of Salerno, Italy) and Diego Valota (The University of Milan, Italy)

In order to capture enough features of the real word in the language of mathematics one needs to represent vague concepts. Several approaches to vagueness can be found in literature, some of them are based on the idea of sharpening vague predicates. A different approach allows to treat vagueness as it is and puts mathematical fuzzy logic at its core, interpreting vague predicates in truth-degrees ranging over [0; 1]. Such logics can be better understood via their semantics and this course aims at giving a clear picture of the algebraic and game-based semantics of some predominant fuzzy logic, after analyzing the notion of vagueness in itself and discussing arguments in favor and against the use of mathematical fuzzy logic to handle vagueness.