Arnold Dresden (1882-1954) and the Thesis of the Plurality of Mathematics Cover Image

Arnold Dresden (1882-1954) i teza o wielości matematyk
Arnold Dresden (1882-1954) and the Thesis of the Plurality of Mathematics

Author(s): Jerzy Dadaczyński
Subject(s): Philosophy
Published by: Uniwersytet Warszawski - Wydział Filozofii i Socjologii, Instytut Filozofii
Keywords: Arnold Dresden; plurality of mathematics; intuitionism; intuitionistic mathematics; applicability of mathematics

Summary/Abstract: The plurality of mathematics was recognized in the 1960s. In the 1920s two competing versions of mathematics were available: the classical and the intuitionistic. Their supporters rejected opponents’ mathematics as such, so that the thesis of the plurality of mathematics could not be accepted. Arnold Dresden was the exception. He rejected the idea of evaluating mathematics with respect to truth or falsehood. Instead, Dresden assigns to mathematical theories (and whole mathematics) a partially temporal degree of gradable applicability. This allows the ‘coexistence’ of plurality of mathematics.

  • Issue Year: 22/2014
  • Issue No: 1 (85)
  • Page Range: 121-129
  • Page Count: 9
  • Language: Polish