Natural Numbers II

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


In this chapter we shall discuss several matters about the construction process for natural numbers that have not yet been mentioned: first, alleged difficulties about the numbers 0 and 1; second, questions about constructions involving arithmetical functions, in particular ‘+’ and ‘.’, and the relation ‘=’. We shall then briefly summarize our account of the processes involved in fulfillments of intentions to small numbers and singular statements about them and move on to questions about large numbers and general statements about numbers.


Natural Number Construction Process Mathematical Induction Recursion Equation Metaphysical Question 
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  1. 3.
    E. Bishop, D. Bridges, New Foundations of Constructive Analysis [12], Chapter 1.Google Scholar
  2. 6.
    Parsons, Mathematics in Philosophy [107], p. 135, n. 25.Google Scholar

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© Kluwer Academic Publishers 1989

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  • Richard L. Tieszen

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