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
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 ...
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, 1898–1953in the Album Academicum of the University of Amsterdam
See also
*
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 ...
*
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 ...
*
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 ...
*
Arend Heyting
__NOTOC__
Arend Heyting (; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician.
Biography
Heyting was a student of Luitzen Egbertus Jan Brouwer at the University of Amsterdam, and did much to put intuitionistic logic on a foot ...
*
Philosophy of mind
Philosophy of mind is a branch of philosophy that studies the ontology and nature of the mind and its relationship with the body. The mind–body problem is a paradigmatic issue in philosophy of mind, although a number of other issues are add ...
*
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in peop ...
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