A famous quote attributed to Gordan about David Hilbert's proof of Hilbert's basis theorem, a result which vastly generalized his result on invariants, is "This is not mathematics; this is theology."[3][5] The proof in question was the (non-constructive) existence of a finite basis for invariants. It is not clear if Gordan really said this since the earliest reference to it is 25 years after the events and after his death. Nor is it clear whether the quote was intended as criticism, or praise, or a subtle joke. Gordan himself encouraged Hilbert and used Hilbert's results and methods, and the widespread story that he opposed Hilbert's work on invariant theory is a myth (though he did correctly point out in a referee's report that some of the reasoning in Hilbert's paper was incomplete).[6]
Publicationsedit
Gordan, Paul (1885). Vorlesungen über Invariantentheorie. Vol. 1. Teubner. Retrieved 12 April 2014.
Gordan, Paul (1887). Dr. Paul Gordan's Vorlesungen über Invariantentheorie. Vol. 2. B. G. Teubner. Retrieved 12 April 2014.
Gordan, Paul (1987) [1885], Kerschensteiner, Georg (ed.), Vorlesungen über Invariantentheorie (2nd ed.), New York: Chelsea Publishing Co. or American Mathematical Society, ISBN978-0-8284-0328-3, MR 0917266
Notesedit
^Bergmann, Birgit (2012). Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture. Springer. p. 60. ISBN9783642224645.
^ abHarm Derksen, Gregor Kemper. (2002), Derkson, Harm; Kemper, Gregor (eds.), Computational Invariant Theory, Invariant theory and algebraic transformation groups, Springer-Verlag, p. 49, ISBN3-540-43476-3, OCLC 49493513.
^ abedited by A. N. Kolmogorov, A. P. Yushkevich; translated from the Russian by A. Shenitzer, H. Grant and O. B. Sheinin. (2001), Kolmogorov, A. N.; Yushkevich, A. P. (eds.), Mathematics of the 19th Century: Mathematical Logic, Algebra, Number Theory, Probability Theory, Springer-Verlag, p. 85, ISBN3-7643-6442-4, OCLC 174767718 {{citation}}: |author= has generic name (help)CS1 maint: multiple names: authors list (link).
^Hermann Weyl, David Hilbert. 1862–1943, Obituary Notices of Fellows of the Royal Society (1944).
^Mclarty, Colin (2008), Theology and its discontents(PDF), archived from the original (PDF) on 16 January 2009
Die Redaktion der Mathematische Annalen (1913), "Paul Gordan", Mathematische Annalen (in German), 73 (3): i–ii, doi:10.1007/BF01456698, ISSN 0025-5831, JFM 44.0023.06, MR 1511736, S2CID 177804295, available at DigiZeitschirften.
Noether, Max (1914), "Paul Gordan", Mathematische Annalen (in German), 75 (1): 1–41, doi:10.1007/BF01564521, S2CID 179178051, available at DigiZeitschirften.
paul, gordan, confused, with, walter, gordon, physicist, paul, albert, gordan, april, 1837, december, 1912, jewish, german, mathematician, student, carl, jacobi, university, königsberg, before, obtaining, university, breslau, 1862, professor, university, erlan. Not to be confused with Walter Gordon physicist Paul Albert Gordan 27 April 1837 21 December 1912 was a Jewish German 1 mathematician a student of Carl Jacobi at the University of Konigsberg before obtaining his PhD at the University of Breslau 1862 2 and a professor at the University of Erlangen Nuremberg Paul GordanPaul GordanBornPaul Albert Gordan 1837 04 27 27 April 1837Breslau Province of Silesia Kingdom of PrussiaDied21 December 1912 1912 12 21 aged 75 Erlangen Kingdom of Bavaria German EmpireNationalityGermanAlma materUniversity of BreslauKnown forInvariant theoryClebsch Gordan coefficientsGordan s lemmaScientific careerInstitutionsUniversity of Erlangen NurembergAcademic advisorsCarl Gustav Jacob JacobiDoctoral studentsEmmy Noether He was born in Breslau Germany now Wroclaw Poland and died in Erlangen Germany He was known as the king of invariant theory 3 4 His most famous result is that the ring of invariants of binary forms of fixed degree is finitely generated 4 Clebsch Gordan coefficients are named after him and Alfred Clebsch Gordan also served as the thesis advisor for Emmy Noether 2 A famous quote attributed to Gordan about David Hilbert s proof of Hilbert s basis theorem a result which vastly generalized his result on invariants is This is not mathematics this is theology 3 5 The proof in question was the non constructive existence of a finite basis for invariants It is not clear if Gordan really said this since the earliest reference to it is 25 years after the events and after his death Nor is it clear whether the quote was intended as criticism or praise or a subtle joke Gordan himself encouraged Hilbert and used Hilbert s results and methods and the widespread story that he opposed Hilbert s work on invariant theory is a myth though he did correctly point out in a referee s report that some of the reasoning in Hilbert s paper was incomplete 6 Publications editGordan Paul 1885 Vorlesungen uber Invariantentheorie Vol 1 Teubner Retrieved 12 April 2014 Gordan Paul 1887 Dr Paul Gordan s Vorlesungen uber Invariantentheorie Vol 2 B G Teubner Retrieved 12 April 2014 Gordan Paul 1987 1885 Kerschensteiner Georg ed Vorlesungen uber Invariantentheorie 2nd ed New York Chelsea Publishing Co or American Mathematical Society ISBN 978 0 8284 0328 3 MR 0917266Notes edit Bergmann Birgit 2012 Transcending Tradition Jewish Mathematicians in German Speaking Academic Culture Springer p 60 ISBN 9783642224645 a b O Connor John J Robertson Edmund F Paul Gordan MacTutor History of Mathematics Archive University of St Andrews a b Harm Derksen Gregor Kemper 2002 Derkson Harm Kemper Gregor eds Computational Invariant Theory Invariant theory and algebraic transformation groups Springer Verlag p 49 ISBN 3 540 43476 3 OCLC 49493513 a b edited by A N Kolmogorov A P Yushkevich translated from the Russian by A Shenitzer H Grant and O B Sheinin 2001 Kolmogorov A N Yushkevich A P eds Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory Springer Verlag p 85 ISBN 3 7643 6442 4 OCLC 174767718 a href Template Citation html title Template Citation citation a author has generic name help CS1 maint multiple names authors list link Hermann Weyl David Hilbert 1862 1943 Obituary Notices of Fellows of the Royal Society 1944 Mclarty Colin 2008 Theology and its discontents PDF archived from the original PDF on 16 January 2009See also editDickson s lemma Invariant of a binary form Symbolic methodReferences editDie Redaktion der Mathematische Annalen 1913 Paul Gordan Mathematische Annalen in German 73 3 i ii doi 10 1007 BF01456698 ISSN 0025 5831 JFM 44 0023 06 MR 1511736 S2CID 177804295 available at DigiZeitschirften Noether Max 1914 Paul Gordan Mathematische Annalen in German 75 1 1 41 doi 10 1007 BF01564521 S2CID 179178051 available at DigiZeitschirften External links editPaul Gordan at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Paul Gordan amp oldid 1213171275, wikipedia, wiki, book, books, library,
