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(2000) Synthese 125 (3).
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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Full citation:
Feferman, S. (2000). Mathematical intuition vs. mathematical monsters. Synthese 125 (3), pp. 317-332.