Zeitschrift | Band | Artikel
Mathematical intuition vs. mathematical monsters
pp. 317-332
Abstrakt
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.
Publication details
Published in:
(2000) Synthese 125 (3).
Seiten: 317-332
Referenz:
Feferman Solomon (2000) „Mathematical intuition vs. mathematical monsters“. Synthese 125 (3), 317–332.