Mathematics and Experience Cover Image

Matematika a skúsenosť
Mathematics and Experience

Author(s): Ladislav Kvasz
Subject(s): Logic
Published by: Filozofický ústav SAV
Keywords: instrumental experience; expressive boundaries; logicism; recursion theory;

Summary/Abstract: Mathematics is traditionally considered being an apriori discipline consisting of purely analytic propositions. The aim of the present paper is to offer arguments against this entrenched view and to draw attention to the experiential dimension of mathematical knowledge. Following Husserl’s interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to inter- pret mathematical knowledge also as acknowledge based on instrumental experience. This interpretation opens a new view on the role of the logicist program, both in philosophy of mathematics and in philosophy of science.

  • Issue Year: 16/2009
  • Issue No: 2
  • Page Range: 146-182
  • Page Count: 37
  • Language: Slovak