Languages involving modalities and languages involving vagueness have each been thoroughly studied. On the other hand, virtually nothing has been said about the interaction of modality and vagueness. This paper aims to start filling that gap. Section 1 is a discussion of various possible sources of vague modality. Section 2 puts forward a model theory for a quantified language with operators for modality and vagueness. The model theory is followed by a discussion of the resulting logic. In Section 3, the (...) framework will permit us to address a puzzle raised by Elizabeth Barnes and Robert Williams. (shrink)

This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition (...) of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs. (shrink)

The main aim of the paper is to offer a solution compatible with Graham Priest’s Noneism and Amie Thomasson’s Artifactual theory which stresses the epistemic features of the notion of individuality in fiction in a framework where individuals are conceived of as functions (the framework is known as the world-lines-semantics of Hintikka). According to our view, it is the endorsement of a reader’s perspective that extends the range of the values of the functions (individuals) and that offers an alternative solution (...) to cases of identity inside and outside the scope of a fictionality (or representation) operator. More technically, this proposal can be seen as both extending the notion of individuality of the Artifactual theory and furnishing an epistemic twist to Priest’s principle of freedom. (shrink)