Sources of contemporary nominalism in the philososphy of mathematics Cover Image

U zródeł współczesnego nominalizmu w filozofii matematyki
Sources of contemporary nominalism in the philososphy of mathematics

Author(s): Anna Frąckowiak–Ciesielska
Subject(s): Epistemology, Analytic Philosophy, Philosophy of Science
Published by: Copernicus Center Press
Keywords: nominalism; philosophy of mathematics;

Summary/Abstract: Nominalism is one of the most important positions in the contemporary philosophy of mathematics. The goal of this article is to point out various factors that have effected the rapid development of nominalism. In particular, the figures of the Polish precursors of nominalism are presented, that is, Lesniewski, Kotarbinski and Tarski. Consequently, the article of Quine and Goodman entitled 'Steps Toward a Constructive Nominalism' is discussed. The article became the ideological declaration of nominalism and initiated reconstructionist tendencies within it. The presentation is concluded with the attempt of the modal interpretation of mathematics according to Putnam. This interpretation inspired the nominalists to enrich the existing logical apparatus with new methods and tools that are more efficient in the implementation of the strategy indicated by Quine and Godman.

  • Issue Year: 2006
  • Issue No: 39
  • Page Range: 92-114
  • Page Count: 23
  • Language: Polish