The question of the existence of putative abstract objects has prompted a range of deflationist responses both ontological and metaontological in nature. Many of these draw inspiration from Carnap’s influential essay “Empiricism, Semantics, and Ontology”, as seen in the work of Putnam, Schiffer, Hirsch, Price, and Thomasson, among others. However, there are also notable deflationist approaches that diverge from Carnap’s framework—for instance, Jody Azzouni’s “pure deflationary metaphysics,” Otá vio Bueno’s “agnostic nominalism” and his more recent argument for the contingent nature of mathematical objects, as well as forms of metaontological minimalism advanced by figures like Øystein Linnebo and Agustı́n Rayo. This chapter introduces the central issues explored in the volume and offers a concise overview of the individual contributions that follow.

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Introduction

  • Xavier de Donato-Rodríguez,
  • José L. Falguera,
  • Concha Martínez-Vidal

摘要

The question of the existence of putative abstract objects has prompted a range of deflationist responses both ontological and metaontological in nature. Many of these draw inspiration from Carnap’s influential essay “Empiricism, Semantics, and Ontology”, as seen in the work of Putnam, Schiffer, Hirsch, Price, and Thomasson, among others. However, there are also notable deflationist approaches that diverge from Carnap’s framework—for instance, Jody Azzouni’s “pure deflationary metaphysics,” Otá vio Bueno’s “agnostic nominalism” and his more recent argument for the contingent nature of mathematical objects, as well as forms of metaontological minimalism advanced by figures like Øystein Linnebo and Agustı́n Rayo. This chapter introduces the central issues explored in the volume and offers a concise overview of the individual contributions that follow.