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The Concept of Intuition in Mathematics

  • Richard L. Tieszen
Chapter
Part of the Synthese Library book series (SYLI, volume 203)

Abstract

The notion of mathematical intuition has played an important role in several philosophical conceptions of how we acquire mathematical knowledge and a number of classical philosophical problems are closely associated with it: the question whether mathematical knowledge is a priori, analytic or “necessary”; problems about platonism, mathematical truth, and abstract objects; the question whether minds surpass machines, or whether mathematics consists solely of mechanical operations on syntax; questions about the meaning and reference of statements of mathematical theories; and questions about the nature of infinity, to name a few.

Keywords

Mathematical Knowledge Mathematical Object Mathematical Induction Sign Configuration Mathematical Truth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

  1. 3.
    See Steiner, M., Mathematical Knowledge [129], pp. 117–118, 130–132, and Parsons, C., “Mathematical Intuition” [105], p.146.Google Scholar
  2. 13.
    Brouwer, L.E.J., Collected Works, Vol. I, [14], with slightly different versions in different papers.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Richard L. Tieszen

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