Brouwer’s notion of intuition and theory of knowledge by presence

  • Mohammad Ardeshir
Part of the Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives book series (PAHP)


The notion of ‘intuition’ has a long history in philosophy, and in particular in the philosophy of mathematics. Almost every philosopher of mathematics, in one way or another, admits the role of intuition in the epistemology of mathematical objects and/ or mathematical knowledge. There are two main questions about the notion of ‘intuition’:
  1. 1.

    what is the nature of intuition? and

  2. 2.

    how vast is the extension and the domain of its application?



Mathematical Object External Object Subjective Object Objective Object Empty Form 


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Copyright information

© Birkhäuser Verlag AG 2008

Authors and Affiliations

  • Mohammad Ardeshir
    • 1
  1. 1.Department of MathematicsSharif University of TechnologyTehran

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