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The Phenomenological View of Intuition

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

Abstract

In this chapter I shall present and discuss some of the most important material from Husserl’s texts on intentionality and intuition, and the role of intuition in mathematical knowledge. The writings of Husserl show very clearly that on his conception of intuition there is an analogy between perceptual and mathematical intuition. A more detailed analysis of Husserl’s views on ordinary perceptual intuition will follow in the next chapter by way of exploring and developing this analogy in later chapters. Some of Husserl’s general remarks on the concept of truth and its relation to evidence (Evidenz) given by intuition will also be considered in this chapter, as will ideas about adequate, apodictic, a priori and intersubjective evidence. Especially relevant for the notion of mathematical intuition are Husserl’s remarks on founding, acts of abstraction, acts of reflection, and the idea of hierarchies of acts built up by reflection and abstraction. Some of the most important texts on these matters will be considered.

Keywords

Abstract Object Mathematical Knowledge Formal Abstraction Mathematical Belief Mathematical Intuition 
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. 2.
    See especially LI, I, V. Also Ideas, FTL, CM.Google Scholar
  2. 3.
    Several studies that might be helpful for understanding my presentation are Smith and McIntyre, Husserl and Intentionality [128]; Miller, Husserl and Temporal Awareness [94]; Føllesdal’s papers [29], [30], [31]; Mohanty, Concept of Intentionality [96], and [97], [98], [99].Google Scholar
  3. 4.
    Ideas, section 24. Boyce-Gibson’s translation, which I modify at certain points.Google Scholar
  4. 5.
    LI, VI, section 45.Google Scholar
  5. 6.
    LI, VI, section 45.Google Scholar
  6. 7.
    LI, VI, section 46.Google Scholar
  7. 8.
    LI, VI, section 46.Google Scholar
  8. 9.
    LI, VI, section 47.Google Scholar
  9. 10.
    See especially CM, section 38. Also EJ. Also Analysen zur Passiven Synthesis [53].Google Scholar
  10. 11.
    LI, VI, section 57.Google Scholar
  11. 12.
    LI, VI, section 57.Google Scholar
  12. 13.
    LI, VI, section 60.Google Scholar
  13. 14.
    See e.g., Parsons “Mathematical Intuition” [105], p. 159. Also, [107], especially p. 21, 184–185.Google Scholar
  14. 15.
    LI, II, section 8.Google Scholar
  15. 16.
    FTL, section 58.Google Scholar
  16. 17.
    FTL, section 60.Google Scholar
  17. 18.
    FTL, section 105. Following two passages in the text are also section 105. See also sections 106–107. This late view of Husserl about truth is reminiscent of the famous Peircean view.Google Scholar
  18. 19.
    For a discussion of these problems see Levin, Reason and Evidence in Husserl’s Phenomenology [86].Google Scholar
  19. 20.
    CM, section 6.Google Scholar
  20. 21.
    CM, section 6.Google Scholar
  21. 23.
    FTL, sections 94–96.Google Scholar
  22. 24.
    See Tragesser, [137].Google Scholar
  23. 25.
    LI, VI, section 66.Google Scholar
  24. 26.
    FTL, section 100.Google Scholar
  25. 27.
    See especiallyLI, I.Google Scholar
  26. 28.
  27. 29.
    LI, I, sections 14–15.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Richard L. Tieszen

There are no affiliations available

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