Synthese

, Volume 125, Issue 3, pp 317–332

Mathematical Intuition Vs. Mathematical Monsters*

  • Solomon Feferman
Article

DOI: 10.1023/A:1005223128130

Cite this article as:
Feferman, S. Synthese (2000) 125: 317. doi:10.1023/A:1005223128130

Abstract

Geometrical and physical intuition, both untutored andcultivated, is ubiquitous in the research, teaching,and development of mathematics. A number ofmathematical ``monsters'', or pathological objects, havebeen produced which – according to somemathematicians – seriously challenge the reliability ofintuition. We examine several famous geometrical,topological and set-theoretical examples of suchmonsters in order to see to what extent, if at all,intuition is undermined in its everyday roles.

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Solomon Feferman
    • 1
  1. 1.Department of MathematicsStanford University StanfordU.S.A.