What is real? Less than you might think. We advocate austere metaphysical realism---a form of metaphysical realism claiming that a correct ontological theory will repudiate numerous putative entities and properties that are posited in everyday thought and discourse, and also will even repudiate numerous putative objects and properties that are posited by well confirmed scientific theories. We have lately defended a specific version of austere metaphysical realism which asserts that there is really only one concrete particular, viz., the entire cosmos (...) (see Horgan and Potr (2000, 2002), Potr (2003)). But there are various potential versions of the generic position we are here calling austere metaphysical realism; and it is the generic view that constitutes the ontological part of the overall approach to realism and truth that we will describe here. What is true? More than you might think, given our austere metaphysical realism. We maintain that truth is semantically correct affirmability, under contextually operative semantic standards. We also maintain that most of the time, the contextually operative semantic standards work in such a way that semantic correctness (i.e., truth) is a matter of indirect correspondence rather than direct correspondence between thought or language on the one hand, and the world on the other.1 When correspondence is indirect rather than direct, a given statement (or thought) can be true even if the correct ontology does not include items answering to all the referential commitments (as we will here call them) of the statement. 2 This means that even if a putative object is repudiated by a correct ontological theory, ordinary statements that are putatively about that object may still be true. For instance, the statement “The University of St. Andrews is in Scotland” can be semantically correct (i.e., true) even if the right ontology does not include any entity answering to the referring term ‘The University of St. Andrews’, or any entity... (shrink)

Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous (...) discussions of these projects, and presents clear, concise accounts of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed. (shrink)

This volume is devoted to Lewis's work in metaphysics and epistemology. Topics covered include properties, ontology, possibility, truthmaking, probability, the mind-body problem, vision, belief, and knowledge. The purpose of this collection, and the volumes that precede and follow it, is to disseminate more widely the work of an eminent and influential contemporary philosopher. The volume will serve as a useful work of reference for teachers and students of philosophy.