Arend Heyting
Arend Heyting (1967)
Born(1898-05-09)9 May 1898
Died9 July 1980(1980-07-09) (aged 82)
Alma materUniversity of Amsterdam
Known forHeyting algebra
Heyting arithmetic
Heyting field
Brouwer–Heyting–Kolmogorov interpretation
Intuitionistic logic
Contributions to intuitionism
Scientific career
InstitutionsUniversity of Amsterdam
Doctoral advisorL. E. J. Brouwer
Doctoral studentsAnne Sjerp Troelstra
Dirk van Dalen

Arend Heyting (Dutch: [ˈɦɛi̯tɪŋ]; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician.


Heyting was a student of Luitzen Egbertus Jan Brouwer at the University of Amsterdam, and did much to put intuitionistic logic on a footing where it could become part of mathematical logic. Heyting gave the first formal development of intuitionistic logic in order to codify Brouwer's way of doing mathematics. The inclusion of Brouwer's name in the Brouwer–Heyting–Kolmogorov interpretation is largely honorific, as Brouwer was opposed in principle to the formalisation of certain intuitionistic principles (and went as far as calling Heyting's work a "sterile exercise").[1]

In 1942 he became a member of the Royal Netherlands Academy of Arts and Sciences.[2]

Heyting was born in Amsterdam, Netherlands, and died in Lugano, Switzerland.

Selected publications


  1. ^ Walter P. van Stigt (1990). Brouwer's Intuitionism. Amsterdam: North Holland.
  2. ^ "Arend Heyting (1898 - 1980)". Royal Netherlands Academy of Arts and Sciences. Retrieved 28 July 2015.
  3. ^ Church, Alonzo (1935). "Review: Mathematische Grundlagenforschung. Intuitionismus. Beweistheorie by A. Heyting". Bull. Amer. Math. Soc. 41: 476–477. doi:10.1090/S0002-9904-1935-06126-9.