Ramsey’s Theorem

  • Hans Jürgen Prömel


Frank Plumpton Ramsey was an extraordinary man. He was born in 1903 in Cambridge as the elder son of A.S. Ramsey who was a mathematician and President of Magdalene College. His younger brother Michael went on to become Archbishop of Canterbury.


  1. Braithwaite, R.: Editor’s introduction. In: Ramsey, F.P., Braithwaite, R.B. (ed.) The Foundations of Mathematics. Routledge & Kegan Paul, London (1931)Google Scholar
  2. Erdős, P., Rado, R.: A combinatorial theorem. J. Lond. Math. Soc. 25, 249–255 (1950)CrossRefGoogle Scholar
  3. Erdős, P., Rado, R.: A problem on ordered sets. J. Lond. Math. Soc. 28, 426–438 (1953)CrossRefGoogle Scholar
  4. Erdős, P., Szekeres, G.: A combinatorial problem in geometry. Compos. Math. 2, 463–470 (1935)Google Scholar
  5. Erdős, P., Szekeres, G.: On some extremum problems in elementary geometry. Ann. Univ. Sci. Bp. Eötvös Sect. Math. 3–4, 53–62 (1961)Google Scholar
  6. Johnson, S.: A new proof of the Erdős-Szekeres convex k-gon result. J. Comb. Theory A 42, 318–319 (1986)CrossRefMATHGoogle Scholar
  7. Kleene, S.C.: Introduction to Metamathematics. D. Van Nostrand, New York (1952)MATHGoogle Scholar
  8. König, D.: Über eine Schlußweise aus dem Endlichen ins Unendliche. Acta Litt. Acad. Sci. Hung. (Szeged) 3, 121–130 (1927)Google Scholar
  9. Mellor, D.: The eponymous F.P. Ramsey. J. Graph Theory 7, 9–13 (1983)MathSciNetCrossRefMATHGoogle Scholar
  10. Rado, R.: Note on canonical partitions. Bull. Lond. Math. Soc. 18, 123–126 (1986)MathSciNetCrossRefMATHGoogle Scholar
  11. Ramsey, F.P.: Critical note of L. Wittgenstein’s Tractatus Logico-Philosophicus. Mind. N.S. 32, 465–478 (1923)Google Scholar
  12. Ramsey, F.P.: The foundations of mathematics. Proc. Lond. Math. Soc. S2–25, 338–384 (1926a)MathSciNetCrossRefGoogle Scholar
  13. Ramsey, F.P.: Mathematical logic. Math. Gaz. 13, 185–194 (1926b)CrossRefMATHGoogle Scholar
  14. Ramsey, F.P.: A contribution to the theory of taxation. Econ. J. 37, 47–61 (1927)CrossRefGoogle Scholar
  15. Ramsey, F.P.: A mathematical theory of saving. Econ. J. 38, 543–549 (1928)CrossRefGoogle Scholar
  16. Ramsey, F.P.: On a problem of formal logic. Proc. Lond. Math. Soc. S2–30, 264–286 (1930)MathSciNetCrossRefGoogle Scholar
  17. Ramsey, F.P.: In: Mellor, D.H. (ed.) Foundations. Routledge & Kegan Paul, London (1978)Google Scholar
  18. Skolem, T.: Ein kombinatorischer Satz mit Anwendung auf ein logisches Entscheidungsproblem. Fund. Math. 20, 254–261 (1933)Google Scholar
  19. Szekeres, G.: A combinatorial problem in geometry – reminescences. In: Paul Erdős, The Art of Counting, pp. xix–xxii. MIT, Cambridge (1973)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Hans Jürgen Prömel
    • 1
  1. 1.Technische Universität DarmstadtDarmstadtGermany

Personalised recommendations