Mathematical Intuition Vs. Mathematical Monsters*
- Solomon FefermanAffiliated withDepartment of Mathematics, Stanford University Stanford
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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.
- Mathematical Intuition Vs. Mathematical Monsters*
Volume 125, Issue 3 , pp 317-332
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- Kluwer Academic Publishers
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- Solomon Feferman (1)
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- 1. Department of Mathematics, Stanford University Stanford, CA, 94305-2125, U.S.A.