Chapter

Nominalism and the Substitutional Quantifier

Ruth Barcan Marcus

in Modalities

Published in print August 1995 | ISBN: 9780195096576
Published online November 2003 | e-ISBN: 9780199833412 | DOI: http://dx.doi.org/10.1093/0195096576.003.0008
 Nominalism and the Substitutional Quantifier

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This paper explores the claim that a substitutional semantics for quantification theory lends itself to nominalistic aims. Without committing herself to nominalism, Marcus establishes some important points of contact between the two, such as the belief that proper names are not redundant or eliminable, and that substitutional semantics allows quantifiers with predicates as substituends without thereby forcing an ontology of universals.

Keywords: Kripke; nominalism; predication; proper names; quantification; realism; reference; substitutional quantification; universals

Chapter.  5654 words. 

Subjects: Philosophy

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