Synthese

, Volume 125, Issue 3, pp 317–332 | Cite as

Mathematical Intuition Vs. Mathematical Monsters*

  • Solomon Feferman

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.

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

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

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