Mathematical theories with parsimonious ontologies: their strengths and limitations

01 October 2012 → 30 April 2019
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Research disciplines
  • Humanities
    • Theory and methodology of philosophy
    • Philosophy
  • Social sciences
    • General pedagogical and educational sciences
    • Communication sciences
nominalism foundations of mathematics logic neologicism philosophy of mathematics mathematics set theory
Project description

The main goal is to evaluate the plausibility of various attempts to account nominalistically for the truth of mathematical theories and to develop a particular proposal of that sort which takes prima facie higher-order quantification to boil down to modal statements about the language.