Mathematical intuition vs. mathematical monsters

Synthese 125 (3):317-332 (2000)
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.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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DOI 10.1023/A:1005223128130
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Elijah Chudnoff (2013). Is Intuition Based On Understanding? Philosophy and Phenomenological Research 86 (1):42-67.

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