Skip to main content
SpringerLink
Log in

Cogwheels of the mind. The story of venn diagrams

  • Department
  • Review
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. M. E. Baron, “A Note on the Historical Development of Logic Diagrams: Leibniz, Euler and Venn,Mathematical Gazette 53 (1969), 113–125.

    Article  MATH  Google Scholar 

  2. K. B. Chilakamarri, P. Hamburger, R. E. Pippert, “Hamilton Cycles in Planar Graphs and Venn Diagrams,”Journal of Combinatorial Theory Series B 67 (1996), 296–303.

    Article  MATH  MathSciNet  Google Scholar 

  3. B. Cipra, “Venn Meets Boole in Symmetric Proof,”SIAM News 37, no. 1 (January/February 2004).

  4. L. Euler, Lettres à une Princesse d’Allemangne, St. Petersburg, 1768. English translation: H. Hunter,Letters to a German Princess, London, (1795).

  5. J. Griggs, C. E. Killian, C. D. Savage, “Venn diagrams and symmetric chain decompositions in the Boolean lattice,”The Electronic Journal of Combinatorics (2004)

  6. B. Grunbaum, “Venn Diagrams and Independent Families of Sets,”Mathematics Magazine 48 (1975), 12–22.

    Article  MathSciNet  Google Scholar 

  7. B. Grunbaum, “The construction of Venn diagrams,”College Mathematics Journal 15 (1984), 238–247.

    Article  MathSciNet  Google Scholar 

  8. B. Grunbaum, “Venn diagrams I,”Geombinatorics 1 (1992), 5–12.

    MathSciNet  Google Scholar 

  9. D. W. Henderson, “Venn Diagrams for More Than Four Classes,”American Mathematical Monthly 70 (1963), 424–426.

    Article  Google Scholar 

  10. A. Renyi, V. Renyi, and J. Suranyi, “Sur I’lndependance des Domaines Simples dans I”Espace Euclidien a n-dimensions,”Colloquium Mathematicum 2 (1951), 130–135.

    MATH  MathSciNet  Google Scholar 

  11. F. Ruskey, M. Weston,The Electronic Journal of Combinatorics, www.combinatorics.org/SurveysA/ennEJC.html

  12. J. Venn, “On the diagrammatic and mechanical representation of propositions and reasonings,”The London, Edinburgh, and Dublin Philos. Mag. and J. Sci. 9 (1880), 1–18.

    Google Scholar 

  13. J. Venn, Symbolic Logic, Macmillan, London, 1881, second edition 1894.

    Book  Google Scholar 

  14. P. Winkler, “Venn diagrams: some observations and an open problem,”Congressus Numerantium 45 (1984), 267–274.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Indiana University-Purdue University, 46805, Fort Wayne, IN, USA

    Peter Hamburger

Authors
  1. Peter Hamburger
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Peter Hamburger.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hamburger, P. Cogwheels of the mind. The story of venn diagrams. The Mathematical Intelligencer 27, 36–38 (2005). https://doi.org/10.1007/BF02985858

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02985858

Keywords

Search

Navigation