Reconciling Anti–Nominalism and Anti–Platonism in Philosophy of Mathematics

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Abstract

The author reviews and summarizes, in as jargon–free way as he is capable of, the form of anti–platonist anti–nominalism he has previously developed in works since the 1980s, and considers what additions and amendments are called for in the light of such recently much–discussed views on the existence and nature of mathematical objects as those known as hyperintensional metaphysics, natural language ontology, and mathematical structuralism.

Original languageEnglish (US)
Pages (from-to)1-19
Number of pages19
JournalDisputatio (Spain)
Volume11
Issue number20
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Philosophy

Keywords

  • Nominalism
  • Ontology
  • Platonism
  • Structuralism

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