Arend Heyting

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

Arend Heyting
Arend Heyting (1967)
Born(1898-05-09)9 May 1898
Amsterdam, Netherlands
Died9 July 1980(1980-07-09) (aged 82)
Lugano, Switzerland
NationalityDutch
Alma materUniversity of Amsterdam
Scientific career
FieldsMathematics
InstitutionsUniversity of Amsterdam
Doctoral advisorL. E. J. Brouwer
Doctoral studentsAnne Sjerp Troelstra
Dirk van Dalen

Biography

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
  • Heyting, A. (1930) Die formalen Regeln der intuitionistischen Logik. (German) 3 parts, In: Sitzungsberichte der preußischen Akademie der Wissenschaften. phys.-math. Klasse, 1930, 42–56, 57-71, 158-169.
  • Heyting, A. (1934) Mathematische Grundlagenforschung. Intuitionismus. Beweistheorie. Springer, Berlin.[3]
  • Heyting, A. (1941) Untersuchungen der intuitionistische Algebra. (German) Verh. Nederl. Akad. Wetensch. Afd. Natuurk. Sect. 1. 18. no. 2, 36 pp.
  • Heyting, A. (1956) Intuitionism. An introduction. North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1959) Axioms for intuitionistic plane affine geometry. The axiomatic method. With special reference to geometry and physics. Proceedings of an International Symposium held at the Univ. of Calif., Berkeley, Dec. 26, 1957–Jan 4, 1958 (edited by L. Henkin, P. Suppes and A. Tarski) pp. 160–173 Studies in Logic and the Foundations of Mathematics North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1962) After thirty years. 1962 Logic, Methodology and Philosophy of Science (Proc. 1960 Internat. Congr.) pp. 194–197 Stanford Univ. Press, Stanford, Calif.
  • Heyting, A. (1963) Axiomatic projective geometry. Bibliotheca Mathematica, Vol. V. Interscience Publishers John Wiley & Sons, Inc., New York; P. Noordhoff N.V., Groningen; North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1966) Intuitionism: An introduction. Second revised edition North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1973) Address to Professor A. Robinson. At the occasion of the Brouwer memorial lecture given by Prof. A.Robinson on the 26th April 1973. Nieuw Arch. Wisk. (3) 21, pp. 134–137.
  • Heyting, A. (1974) Mathematische Grundlagenforschung, Intuitionismus, Beweistheorie. (German) Reprint. Springer-Verlag, Berlin–New York.
  • Heyting, A. (1980) Axiomatic projective geometry. Second edition. Bibliotheca Mathematica [Mathematics Library], V. Wolters-Noordhoff Scientific Publications, Ltd., Groningen; North-Holland Publishing Co., Amsterdam–New York.
gollark: Also, speaking of the zero width character thing, if you did also want transferable-through-screenshot information too, and had control of the display of the text in question, you could probably also vary the colors of each character very slightly or overlay nearly-invisible-but-technically-there QR-code-type things.
gollark: Until you want to use highly advanced concepts like "lists of multiple items".
gollark: The spec is overcomplicated, it's insecure by default in parser libraries, and there are something like 9 ways to write multiline strings.
gollark: "Basic text" has to be in *some format*.
gollark: Yes. YAML is quite bad.

See also

References
  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.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.