The Concept of Intuition in Mathematics

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


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.


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

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© Kluwer Academic Publishers 1989

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  • Richard L. Tieszen

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