George François Cornelis Griss (30 January 1898,

Amsterdam Amsterdam ( , , , lit. ''The Dam on the River Amstel'') is the capital and most populous city of the Netherlands, with The Hague being the seat of government. It has a population of 907,976 within the city proper, 1,558,755 in the urban ar ...

– 2 August 1953,

Blaricum Blaricum () is a municipality and village in the province of North Holland, the Netherlands. It is part of the region of Gooiland and part of the Amsterdam Metropolitan Area (Metropoolregio Amsterdam). It is known for its many monumental farm bui ...

), usually cited as G. F. C. Griss, was a Dutch

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and philosopher, who was occupied with Hegelian idealism and Brouwers

intuitionism In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of f ...

and stated a negationless mathematics. Griss was a student of

L. E. J. Brouwer Luitzen Egbertus Jan Brouwer (; ; 27 February 1881 – 2 December 1966), usually cited as L. E. J. Brouwer but known to his friends as Bertus, was a Dutch mathematician and philosopher, who worked in topology, set theory, measure theory and compl ...

and formulated an

based on a Hegelian idealism. He obtained his Ph.D. with

Roland Weitzenböck Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the ...

at the

University of Amsterdam The University of Amsterdam (abbreviated as UvA, nl, Universiteit van Amsterdam) is a public research university located in Amsterdam, Netherlands. The UvA is one of two large, publicly funded research universities in the city, the other being ...

in July 1925. He was largely influenced by L. E. J. Brouwer,

Gerrit Mannoury Gerrit Mannoury (17 May 1867 – 30 January 1956) was a Dutch philosopher and mathematician, professor at the University of Amsterdam and communist, known as the central figure in the signific circle, a Dutch counterpart of the Vienna circle.J ...

Carry van Bruggen Carry van Bruggen (1 January 1881 – 16 November 1932) was a Dutch writer. She also wrote under the name Justine Abbing. Biography One of 16 children of Izak de Haan and Betje Rubens, she was born Caroline Lea de Haan in Smilde and grew up i ...

and

Gerard Bolland Gerardus Johannes Petrus Josephus Bolland (9 June 1854, Groningen – 11 February 1922, Leiden), also known as G.J.P.J. Bolland, was a Dutch autodidact, linguist, philosopher, biblical scholar, and lecturer. An excellent orator, he gave extremely ...

, who brought Hegelian thought to the Netherlands. He published a number of articles about a negationless mathematics and one small book about idealistic philosophy, called ''Idealistische Filosofie'' (17 February 1946, Gouda), in which he lays down a typically Hegelian idealism, and incorporates elements from

Bergson Henri-Louis Bergson (; 18 October 1859 – 4 January 1941) was a French philosopherHenri Bergson. 2014. Encyclopædia Britannica Online. Retrieved 13 August 2014, from https://www.britannica.com/EBchecked/topic/61856/Henri-Bergson

's '' Creative Evolution'' (''L'Evolution créatrice'').

Publications

* Het volledige invariantensysteem van 2 covariante antisymmetrische tensoren van den 2den trap en een willekeurig aantal vectoren, K.A.W., Amsterdam, Verslag 34, 1925. * Differentialinvarianten von Systemen von Vektoren (Ph.D. thesis) Groningen: Noordhoff, 1925. * Differentialinvarianten von zwei kovarianten Vektoren in vier Veränderlichen, Proc. K.A.W. (Amsterdam), vol.33, 1930, pp. 176–179. * Der Existenzsatz für ein wesentliches System bei Invarianten von Differentialformen, Proc. K.A.W. (Amsterdam), vol.33, 1930, pp. 491–494. * Problemen der Invariantentheorie (public lecture) Groningen: Noordhoff, 1934. * Die Differentialinvarianten eines Systems von n relativen kovarianten Vektoren in Rn, Proc. K.A.W. (Amsterdam), vol.37, 1934, pp. 82–87. * Die Differentialinvarianten eines kovarianten symmetrischen Tensors vierter Stufe im binären Gebiet, Comp. Math. vol.1, 1934, pp. 238–247. * Differentialvarianenten von relativen Vektoren, Comp. Math. vol.1, 1935, pp. 420–428. * Die konformen Differentialinvarianten eines kovarianten symmetrischen Tensors vierter Stufe im binären Gebiet, Proc. K.A.W. (Amsterdam) vol. 39, 1936, pp. 947–955. * Negatieloze intuïtionistisch wiskunde. Proceedings ("Verslagen") Nederlandse Akademie van Wetenschappen, Afdeling Natuurkunde, Vol.LIII, no.5, 1944, pp. 261–268 (includes German, English, and French summary). * Idealistisch Filosofie, Arnhem: Van Loghum Slaterus, 1946. * Negationless intuitionistic mathematics I, Proc. K.A.W. (Amsterdam) vo.49, 1946, pp. 1127–1133. * Over de negatie, festive collection ("feestbundel") Prof. Dr. H.J. Pos, Amsterdam: Noord-Hollandse uitgeversmaatschappij, 1948, pp. 96–106. * Mathématiques, Mystique et Philosophie, Mélanges philosophiques, Libr. 10th Int. Congr. Phil. II (1948), pp. 156–175. * Logique des mathématiques intuitionistes sans négation, C. R. omptes RenduesAc. Sci. Paris, vol.227, 1948, pp. 946–948. * Sur la Négation dans les Mathématiques et la Logique, Synthese, vol.7, 1948/1949, no.1-2 pp. 71–74. * Negationless intuitionistic mathematics II, Proceedings oninklijke Nederlandse Akademie van Wetenschappen eries AVol.LIII, no.4, 1950, pp. 456–463 or Indagationes Mathematicae, Vol.XII, Fasc.2, 1950. * Logic of negationless intuitionistic mathematics, Proceedings oninklijke Nederlandse Akademie van WetenschappenSeries A, Vol.LIV, no.1, 1951, pp. 41–49. * Negationless intuitionistic mathematics III, Proceedings oninklijke Nederlandse Akademie van Wetenschappenseries A, Vol.LIV, no.2, 1951, pp. 193–199. * Negationless intuitionistic mathematics IV, Proceedings oninklijke Nederlandse Akademie van Wetenschappenseries A, Vol.LIV, no.5, 1951, pp. 452–471 or Indagationes Mathematicae, Vol.XIII, no.5, 1951.

Secondary literature

* H.J. Pos: G.F.C. Griss' Idealistische Filosofie, Algemeen Nederlands Tijdschrift voor Wijsbegeerte en Psychologie waarin opgenomen de Annalen van het Genootschap voor Wetenschappelijke Philosophie, 46e Jaargang, aflevering 1, october 1953. pp. 1–7. * A. Heyting: Over de betekenis van het Wiskundige werk van G.F.C. Griss, ibidem, pp. 8–12. * A. Heyting: G.F.C. Griss and his negationless intuitionistic mathematics, Synthese, Vol. IX, Issue 2, no.2, pp. 91–96 * H.J. Pos: G.F.C. Griss als wijsgerig humanist en als mens, De Nieuw Stem

953 Year 953 ( CMLIII) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. Events By place Byzantine Empire * Battle of Marash: Emir Sayf al-Dawla marches north into the Byzantine Empire an ...

pp. 654–663. * B. van Rootselaar, In memoriam Dr. G.F.C. Griss, Euclides 953?Tijdschrift voor de Didactiek der Exacte Vakken, pp. 42–45. (Contains bibliography.)
G.F.C. Griss, 1898–1953
in the Album Academicum of the University of Amsterdam

External links

* {{DEFAULTSORT:Griss, Gearge Francois Cornelis 1898 births 1953 deaths 20th-century Dutch mathematicians 20th-century Dutch philosophers Intuitionism Philosophers of mathematics Mathematical analysts Mathematical logicians Scientists from Amsterdam University of Amsterdam alumni

Publications

Secondary literature

See also

External links