The Real Numbers

  • James M. Henle
Part of the Problem Books in Mathematics book series (PBM)


Project # 20. In these studies, we have seen mathematics pulling itself up by its bootstraps. ℕ was formed from Ø. Lacking subtraction, we created ℤ out of the subtraction problems themselves. Lacking division, we created ℚ out of the division problems. What do we lack now? Quite a few numbers really. We can’t take square roots, for example, but many other important numbers are missing.


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Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • James M. Henle
    • 1
  1. 1.Department of MathematicsSmith CollegeNorthamptonUSA

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