The Mathematical Intelligencer

, Volume 2, Issue 3, pp 149–154 | Cite as

Some rapidly growing functions

  • Craig Smoryński
Article

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References

  1. Herb Enderton, Elements of recursion theory, in: J. Barwise, ed.,Handbook of Mathematical Logic (North-Holland, Amsterdam 1977)Google Scholar
  2. Paul Erdös and George Mills, Some bounds for the Ramsey-Paris- Harrington numbers, to appearGoogle Scholar
  3. Jussi Ketonen and Robert M. Solovay, Rapidly growing Ramsey functions, to appearGoogle Scholar
  4. Martin H. Löb and Stan Wainer, Hierarchies of number-theoretic functions I, II, Archiv f. math. Logik 13 (1970), pp. 39–51, 97-113MATHCrossRefGoogle Scholar
  5. Jeff Paris and Leo Harrington, A mathematical incompleteness in Peano arithmetic, in: J. Barwise, ed.,Handbook of Mathematical Logic (North-Holland, Amsterdam 1977)Google Scholar
  6. Frank P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. (2) 30 (1929), pp. 264–286Google Scholar
  7. Tibor Rado, On non-computable functions, Bell System Tech. J. 41 (1962), pp. 877–884MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 1980

Authors and Affiliations

  • Craig Smoryński
    • 1
  1. 1.WestmontUSA

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