List of incomplete proofs

This page lists notable examples of incomplete published mathematical proofs. Most of these were accepted as correct for several years but later discovered to contain gaps. There are both examples where a complete proof was later found and where the alleged result turned out to be false.

Contents

Legend

Examples

The examples are arranged roughly in order of the publication date of the incomplete proof. Several of the examples on the list were taken from answers to questions on the MathOverflow site, listed in the external links below.

See also

References

  1. ^ Porter, Roy (2003). The Cambridge History of Science. Cambridge University Press. p. 476. ISBN 0521571995. 
  2. ^ Thomas L. Saaty and Paul C. Kainen (1986). The Four-Color Problem: Assaults and Conquest. Dover Publications. ISBN 9780486650920. 
  3. ^ http://mathoverflow.net/questions/35476
  4. ^ Boerger, Egon; Erich Grädel, Yuri Gurevich (1997). The Classical Decision Problem. Springer. p. 188. ISBN 3540423249. 
  5. ^ Goldfarb, Warren (1986). Solomon Feferman (ed.). ed. Kurt Gödel: Collected Works, vol I. 1. Oxford University Press. pp. 229–231. ISBN 0195039645. 
  6. ^ Roos, Jan-Erik (1961). "Sur les foncteurs dérivés de lim. Applications.". C. R. Acad. Sci. Paris 252: 3702–3704. MR0132091. 
  7. ^ Neeman, Amnon (2002). "A counterexample to a 1961 "theorem" in homological algebra (with an appendix by P. Deligne)". Inv. Math. 148 (2): 397–420. MR1906154. 

External links

MathOverflow questions