Critical Reflections and Conclusion

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


In this chapter we shall, by way of conclusion, briefly take stock of how the account of mathematical intuition we have been developing avoids a number of the usual objections to the notion of mathematical intuition. Since much of what we have said about mathematical intuition provides only an outline we note where the account should be further developed to avoid other possible objections. We shall also briefly comment on some of the larger issues that lie in the background of our discussion. In particular, the phenomenological view we have been developing suggests a certain perspective on some issues about platonism and constructivism, and on the question of whether it is possible to have an account of mathematical knowledge that does not preclude an account of mathematical truth. We should also make some comments about how this approach is to be understood in connection with the parts of mathematics we have not considered.


Natural Number Mathematical Knowledge Mathematical Object Construction Process Critical Reflection 
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  1. 1.
    “Philosophical Presuppositions of Logic”, in [45], pp. 350358.Google Scholar
  2. 2.
    EJ, section 64c.Google Scholar
  3. 3.
    FTL, section 105. See also sections 59–60 and 106–107.Google Scholar
  4. 5.
    FTL, sections 105.Google Scholar

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© Kluwer Academic Publishers 1989

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  • Richard L. Tieszen

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