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The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism

by Ernst Snapper

Award: Carl B. Allendoerfer

Year of Award: 1980

Publication Information: Mathematics Magazine, Vol. 52 (1979), pp. 207-216

Summary: Crises in classical philosophy reveal doubts about mathematical and philosophical criteria for a satisfactory foundation of mathematics.

Link to Article

About the Author: (from Mathematics Magazine, Vol. 52 (1979)) Ernst Snapper studied at the University of Amsterdam in Holland and received his Princeton Ph.D. in 1941 under J.H.M. Wedderburn. He was an NSF postdoctoral fellow at Harvard and has lectured at numerous summer institutes. He is retired from Dartmouth. His publications are in algebra, geometry, and algebraic geometry and he is the co-author with Professor Robert J. Troyer of Metric Affine Geometry (Academic Press).

Subject classification(s): Logic and Foundations
Publication Date: 
Wednesday, January 31, 2007