Abstract
Call the realist thesis that the truth of statements of the form “a is F” entails the existence of properties only via the schema “a is F iff a instantiates F-ness” introductionism; call the nominalist thesis that the schema “a is F iff a instantiates F-ness” doesn’t really introduce properties into the domain of discourse anti-introductionism. I’ll show that both introductionism and anti-introductionism presuppose two crucial assumptions concerning abstract singular terms and predicates, that in turn constitute the pivots of an (allegedly) cogent argument against realism, that is the so-called nominalist’s gambit. Moreover, moving from the phenomenon that I’ll call property-anaphora, I hold that these presuppositions are reciprocally incompatible. I’ll conclude that introductionism and anti-introductionism are positions based on an inconsistent ground, and that the nominalist’s gambit is without force.
Acknowledgment
I would like to thank David M. Armstrong, Andrea Borghini and Achille Varzi for helpful discussion on some of the topics discussed herein. I am also very grateful to the anonymous referees for their very constructive comments.
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