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Hermann Weyl

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1199:'s "Critique of Pure Reason" with space and time as a priori concepts of knowledge (even if he later disliked Kant's too close ties to Euclidean geometry). From 1912 onwards he was strongly influenced by Edmund Husserl and his phenomenology, which was also reflected in some passages in his book “Space, Time, Matter”. In 1927 his contribution Philosophy of Mathematics and Natural Sciences to the Handbook of Philosophy was published by Oldenbourg Verlag, which was later published separately and revised as a book. In an attempt to reconstruct the origins of Hermann Weyl's philosophy and to integrate them into the main currents of philosophy, Norman Sieroka pointed to intensive, long-term discussions between Weyl and his Zurich philosopher colleague Fritz Medicus, a specialist on Johann Gottlieb Fichte. Fichte's Wissenschaftslehre and philosophy, according to which "being" results from the interaction of the "absolute ego" with its material neighbourhood (Umgebung), is also of great influence on Weyl and is reflected in Weyl's use of the neighbourhood concept of topology (continuum). and in Weyl's conception of the general theory of relativity, alongside the influences of Edmund Husserl's phenomenology known directly from Weyl's writings. According to Sieroka, Weyl also finds influences from Gottfried Wilhelm Leibniz's theory of matter (the theory of monads, etc.) and German idealism (Fichte's dialectic) in Weyl's philosophical interpretation of the physical concept of matter in the context of quantum theory and general relativity and with regard to interaction of a symbol with its surroundings in a mathematical theory structure also in Weyl's philosophy of mathematics (debate between formalism and intuitionism under the influence of Brouwer). He understands the intra-mathematical debate about intuitionism and formalism along the lines of a debate between Husserlian phenomenology and Fichtean constructivism. In the 1920s, before the development of quantum mechanics and inspired by the statistical nature of quantum theory, which was becoming increasingly clear at the time, Weyl turned away from the field-theoretical description of matter towards a theory of active (agens) matter, which was achieved by including the spatial environment in the field theoretical description expressed. He had previously described the general theory of relativity and his own extensions of it, which led to the origin of today's concept of gauge field theories, using differential geometric methods. Under the influence of quantum theory, he turned away from this “geometric field theory”. According to Sieroka, Fichte and 1635: 2306:(February 23, 1891 – April 17, 1957). Hildegunde's friends often called her "Hilde" or "Hilda" rather than Hildegunde. Arthur March was Erwin Schrödinger's assistant at the time of Ruth's birth. The reason Ruth's surname is March (instead of Schrödinger) is because Arthur had agreed to be named as Ruth's father on her birth certificate, even though he wasn't her biological father. Ruth married the engineer Arnulf Braunizer in May 1956, and they have lived in Alpbach, Austria for many years. Ruth has been very active as the sole administrator of the intellectual (and other) property of her father Erwin's estate, which she manages from Alpbach. 49: 2994: 1409: 297: 1650: 3847: 1435: 2158:"Hella starb am 5. September , mittags 12 Uhr." ("Hella died at 12:00 Noon on September 5 "). Helene's funeral arrangements were handled by the M. A. Mather Funeral Home (now named the Mather-Hodge Funeral Home), located at 40 Vandeventer Avenue, Princeton, New Jersey. Helene Weyl was cremated on September 6, 1948, at the Ewing Cemetery & Crematory, 78 Scotch Road, Trenton (Mercer County), New Jersey. 640: 612:, but had declined because he did not desire to leave his homeland. As the political situation in Germany grew worse, he changed his mind and accepted when offered the position again. He remained there until his retirement in 1951. Together with his second wife Ellen, he spent his time in Princeton and ZĂŒrich, and died from a heart attack on December 8, 1955, while living in ZĂŒrich. 2534:
called "God or nature," so important for Einstein as well. ...In the end, Weyl concludes that this God "cannot and will not be comprehended" by the human mind, even though "mind is freedom within the limitations of existence; it is open toward the infinite." Nevertheless, "neither can God penetrate into man by revelation, nor man penetrate to him by mystical perception."
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To use the apt phrase of his son Michael, 'The Open World' (1932) contains "Hermann's dialogues with God" because here the mathematician confronts his ultimate concerns. These do not fall into the traditional religious traditions but are much closer in spirit to Spinoza's rational analysis of what he
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eventually results in an almost unbearable awkwardness. And the mathematician watches with pain the greater part of his towering edifice which he believed to be built of concrete blocks dissolve into mist before his eyes." As John L Bell puts it: "It seems to me a great pity that Weyl did not live to
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The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its final solution nor even whether a final objective answer can be expected at all. "Mathematizing" may well be a creative activity of man, like language or
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By 1949, Weyl was thoroughly disillusioned with the ultimate value of intuitionism, and wrote: "Mathematics with Brouwer gains its highest intuitive clarity. He succeeds in developing the beginnings of analysis in a natural manner, all the time preserving the contact with intuition much more closely
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Hermann Weyl Collection (AR 3344) (Sys #000195637), Leo Baeck Institute, Center for Jewish History, 15 West 16th Street, New York, NY 10011. The collection includes a typewritten document titled "Hellas letzte Krankheit" ("Hella's Last Illness"); the last sentence on page 2 of the document states:
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He alone could stand comparison with the last great universal mathematicians of the nineteenth century, Hilbert and Poincaré. ... Now he is dead, the contact is broken, and our hopes of comprehending the physical universe by a direct use of creative mathematical imagination are for the time being
557:. They were to become close friends over time. Weyl had some sort of childless love affair with Schrödinger's wife Annemarie (Anny) Schrödinger (née Bertel), while at the same time Anny was helping raise an illegitimate daughter of Erwin's named Ruth Georgie Erica March, who was born in 1934 in 2301:
Ruth Georgie Erica March was born on May 30, 1934 in Oxford, England, but—according to the records presented here—it appears that her birth wasn't "registered" with the British authorities until the 3rd registration quarter (the July–August–September quarter) of the year 1934. Ruth's actual,
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Su-Yang Xu; Ilya Belopolski; Nasser Alidoust; Madhab Neupane; Guang Bian; Chenglong Zhang; Raman Sankar; Guoqing Chang; Zhujun Yuan; Chi-Cheng Lee; Shin-Ming Huang; Hao Zheng; Jie Ma; Daniel S. Sanchez; BaoKai Wang; Arun Bansil; Fangcheng Chou; Pavel P. Shibayev; Hsin Lin; Shuang Jia;
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see the emergence in the 1970s of smooth infinitesimal analysis, a mathematical framework within which his vision of a true continuum, not “synthesized” from discrete elements, is realized. Although the underlying logic of smooth infinitesimal analysis is intuitionistic — the
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Whenever you have to do with a structure-endowed entity S try to determine its group of automorphisms, the group of those element-wise transformations which leave all structural relations undisturbed. You can expect to gain a deep insight into the constitution of S in this
2183:. The first sentence in this document reads as follows: "Eine Skizze, nicht so sehr von Hellas, als von unserem gemeinsamen Leben, niedergeschrieben Ende Juni 1948." ("A sketch, not so much of Hella's life as of our common life, written at the end of June 1948.") 1089:
and Weyl, during a mathematicians' gathering in ZĂŒrich (9 February 1918), made a bet concerning the future direction of mathematics. Weyl predicted that in the subsequent 20 years, mathematicians would come to realize the total vagueness of notions such as
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that was not an aggregate of points. He wrote a controversial article proclaiming, for himself and L. E. J. Brouwer, a "revolution." This article was far more influential in propagating intuitionistic views than the original works of Brouwer himself.
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by Hermann Weyl. This document, which is one of the items in the Hermann Weyl Collection at the Leo Baeck Institute in New York City, was written by Hermann Weyl at the end of June 1948, about nine weeks before Helene died on September 5, 1948, in
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Weyl left ZĂŒrich in 1930 to become Hilbert's successor at Göttingen, leaving when the Nazis assumed power in 1933, particularly as his wife was Jewish. He had been offered one of the first faculty positions at the new
2387: 3919: 1634: 2168: 2565:, 1995. This paper describes a letter discovered by Gurevich in 1995 that documents the bet. It is said that when the friendly bet ended, the individuals gathered cited PĂłlya as the victor (with 1132:, as he had apparently earlier thought. In the last decades of his life Weyl emphasized mathematics as "symbolic construction" and moved to a position closer not only to Hilbert but to that of 3550: 851:'s criticism of his first work on the philosophy of arithmetic and was investigating the sense of mathematical and other structures, which Frege had distinguished from empirical reference. 1117:
However, within a few years Weyl decided that Brouwer's intuitionism did put too great restrictions on mathematics, as critics had always said. The "Crisis" article had disturbed Weyl's
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was less well known. Although Weyl did not agree with Heidegger's opinion about death, his conception of neighbourhood (Umgebung) was influenced by Heidegger's Existentialism.
1268:. In spite of the fact that the views of philosophy sway from one system to another, we cannot dispense with it unless we are to convert knowledge into a meaningless chaos. 510:). It was through Helene's close connection with Husserl that Hermann became familiar with (and greatly influenced by) Husserl's thought. Hermann and Helene had two sons, 2348: 615:
Weyl was cremated in ZĂŒrich on December 12, 1955. His ashes remained in private hands until 1999, at which time they were interred in an outdoor columbarium vault in the
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than had been done before. It cannot be denied, however, that in advancing to higher and more general theories the inapplicability of the simple laws of
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For additional information on Helene Weyl, including a bibliography of her translations, published works, and manuscripts, see the following link:
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biological father was Erwin Schrödinger (1887–1961), and her mother was Hildegunde March (nĂ©e Holzhammer) (born 1900), wife of Austrian physicist
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Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo – 1986, published for the Eidgenössische Technische Hochschule, ZĂŒrich.
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Weyl, as a major figure in the Göttingen school, was fully apprised of Einstein's work from its early days. He tracked the development of
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were once thought to be Weyl fermions, but they are now known to have mass. Weyl fermions are sought after for electronics applications.
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Skuli Sigurdsson. "Physics, Life, and Contingency: Born, Schrödinger, and Weyl in Exile." In Mitchell G. Ash, and Alfons Söllner, eds.,
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Ideen zu einer reinen PhĂ€nomenologie und phĂ€nomenologischen Philosophie. Erstes Buch: Allgemeine EinfĂŒhrung in die reine PhĂ€nomenologie
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on the philosophy of nature. Any answer to such a question would be unverifiable, unrelated to experience, and therefore senseless.
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In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain.
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not being generally affirmable — mathematics developed within avoids the “unbearable awkwardness” to which Weyl refers above."
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After taking a teaching post for a few years, Weyl left Göttingen in 1913 for ZĂŒrich to take the chair of mathematics at the
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were also an important influence in Weyl's late philosophy (science as a “symbolic construction”). Weyl's involvement with
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After about 1928 Weyl had apparently decided that mathematical intuitionism was not compatible with his enthusiasm for the
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Sieroka, Umgebungen. Symbolischer Konstruktivismus im Anschluss an Hermann Weyl und Fritz Medicus. Chronos, ZĂŒrich 2010,
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Kilmister, C. W. (October 1980), "Zeno, Aristotle, Weyl and Shuard: two-and-a-half millennia of worries over number",
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In connection with the Weyl–Pólya bet, a copy of the original letter together with some background can be found in:
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Exact Sciences and their Philosophical Foundations. VortrÀge des Internationalen Hermann-Weyl-Kongresses, Kiel 1985
1743: 1495: 1125: 836: 480: 352: 214: 200: 114: 1813: 650: 494:(March 30, 1893 – September 5, 1948) who went by the name Helene (nickname "Hella"). Helene was a daughter of Dr. 3772: 3398: 3079: 1525: 1136:. Weyl however rarely refers to Cassirer, and wrote only brief articles and passages articulating this position. 992: 577: 1700: 468:. His father, Ludwig Weyl, was a banker; whereas his mother, Anna Weyl (nĂ©e Dieck), came from a wealthy family. 425:
wrote that Weyl alone bore comparison with the "last great universal mathematicians of the nineteenth century",
3797: 3347: 3107: 3018: 2930:(Washington, D.C.: German Historical Institute and New York: Cambridge University Press, 1996), pp. 48–70. 2238: 1971: 1668: 1032: 319: 128: 3526: 3448: 2580: 506:) and a translator of Spanish literature into German and English (especially the works of Spanish philosopher 549:. Einstein had a lasting influence on Weyl, who became fascinated by mathematical physics. In 1921, Weyl met 378:. He was one of the most influential mathematicians of the twentieth century, and an important member of the 3068: 3059: 2815:
Hermann Weyl, 1885–1985, Centenary lectures delivered by C. N. Yang, R. Penrose, A. Borel, at the ETH ZĂŒrich
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Erhard Scholz; Robert Coleman; Herbert Korte; Hubert Goenner; Skuli Sigurdsson; Norbert Straumann eds.
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The structure and representation of continuous groups: Lectures at Princeton university during 1933–34
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teacher Hilbert, but later in the 1920s Weyl partially reconciled his position with that of Hilbert.
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The Theory of Groups and Quantum Mechanics (translated from the second, revised German edition by
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music, of primary originality, whose historical decisions defy complete objective rationalization.
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Forced Migration and Scientific Change: Emigré German-Speaking Scientists and Scholars after 1933
2900: 2870: 2862: 2724: 2664: 2630: 2598: 2504: 2235:"Ellen Lohnstein and Richard Josef BĂ€r were married on September 14, 1922 in ZĂŒrich, Switzerland" 2083: 2035: 1920: 1428: 1175:. A normal Dirac fermion could be split into two Weyl fermions or formed from two Weyl fermions. 829: 793: 778: 616: 546: 511: 458: 414: 152: 527: 3812: 3682: 3644: 3636: 3237: 3194: 2989: 2939: 2916: 2656: 2522: 2433: 2328: 2316: 2280: 2274: 2125: 1961: 1773: 1763: 1610: 1565: 1542: 1499: 1447: 1398: 1377: 1338: 1316: 1095: 917: 897: 886: 499: 426: 364: 279: 169: 2974: 232:
SingulĂ€re Integralgleichungen mit besonder BerĂŒcksichtigung des Fourierschen Integraltheorems
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Weyl went to ETH ZĂŒrich in 1913 to fill the professorial chair vacated by the retirement of
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of the real numbers was as meaningful as asking about truth of the basic assertions of
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Hermann Weyl's Raum – Zeit – Materie and a General Introduction to his Scientific Work
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that behave as Weyl fermions were discovered in 2015, in a form of crystals known as
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Beyond the knowledge gained from the individual sciences, there remains the task of
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Weyl contributed to an exceptionally wide range of fields, including works on
2362: 1546: 3219: 2652: 2621:(2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". 1099: 921: 821: 744: 732: 623: 2682: 2660: 2319:
Kontinuierliche Gruppen und ihre Darstellung durch lineare Transformationen
1983: 1916: 1883: 1864: 502:, Germany. Helene was a philosopher (she was a disciple of phenomenologist 340: 95: 2519:
Mind and Nature: Selected Writings on Philosophy, Mathematics, and Physics
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These results are foundational in understanding the symmetry structure of
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The Continuum : A Critical Examination of the Foundation of Analysis
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in 1940. For the academic year 1928–1929, he was a visiting professor at
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1927. Philosophie der Mathematik und Naturwissenschaft, 2d edn. 1949.
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Weyl had been interested in philosophy since his youth, when he read
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Levels of Infinity / Selected Writings on Mathematics and Philosophy
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Bulletin of the European Association of Theoretical Computer Science
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in the compact domain are distributed according to the so-called
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Atti del Congresso internazionale dei Matematici, Bologna, 1928
812:. Weyl's gauge theory was an unsuccessful attempt to model the 916:, were also streamlined in that specific context, in his 1927 633: 471:
From 1904 to 1908, he studied mathematics and physics in both
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Friederike Bertha Helene Joseph (nickname "Hella") (1893–1948)
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Hermann Weyl; Peter Pesic (2009-04-20). Peter Pesic (ed.).
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Hermann Weyl's cremains (ashes) are interred in an outdoor
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137: Jung, Pauli, and the Pursuit of a Scientific Obsession
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The Classical Groups. Their Invariants and Representations
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Members of the United States National Academy of Sciences
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at this location: Section 3, Block 04, Lot C1, Grave B15.
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Elsner, Bernd (2008). "Die Abiturarbeit Hermann Weyls".
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Topological groups, Lie groups and representation theory
1577:"Ramifications, old and new, of the eigenvalue problem" 808:, and gave the first example of what is now known as a 828:
is of major importance in understanding the nature of
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PĂłlya, G. (1972). "Eine Erinnerung an Hermann Weyl".
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Weyl’s “agens theory” of matter and the Zurich Fichte
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Biographical Memoirs of Fellows of the Royal Society
534:(September 11, 1892 – December 15, 1940) of ZĂŒrich. 3675: 3540: 3512: 3381: 3330: 3292: 3271: 3260: 3218: 3162: 3146: 3088: 3052: 3041: 545:, who was working out the details of the theory of 413:. He was one of the first to conceive of combining 374:as well as purely mathematical disciplines such as 289: 275: 254: 242: 224: 206: 188: 161: 148: 138: 120: 106: 84: 55: 39: 323:; 9 November 1885 – 8 December 1955) was a German 1372:, Princeton 0689702078. With new introduction by 1163:In 1929, Weyl proposed an equation, known as the 835:His overall approach in physics was based on the 339:. Although much of his working life was spent in 2279:. Cambridge University Press. pp. 175–176. 1904:Obituary Notices of Fellows of the Royal Society 1290:Über die asymptotische Verteilung der Eigenwerte 1070:Weyl briefly shifted his position wholly to the 877:From 1923 to 1938, Weyl developed the theory of 747:distribution of eigenvalues—of modern analysis. 721:Über die asymptotische Verteilung der Eigenwerte 2546:"Über die neue Grundlagenkrise der Mathematik" 3945:People from the Province of Schleswig-Holstein 2975:"Significance of Hermann Weyl's das Kontinuum" 1228:Year book – The American Philosophical Society 1055:. Weyl appealed in this period to the radical 751:Geometric foundations of manifolds and physics 490:In September 1913, in Göttingen, Weyl married 30:"Weyl" redirects here. For other persons, see 3970:Members of the American Philosophical Society 3960:People educated at the Gymnasium Christianeum 3019: 1370:Philosophy of Mathematics and Natural Science 906:mathematical formulation of quantum mechanics 725:On the asymptotic distribution of eigenvalues 572:and an Invited Speaker of the ICM in 1936 at 8: 1658:(English, 1922: translated from German from 1059:of the German romantic, subjective idealist 977:Harmonic analysis and analytic number theory 370:His research has had major significance for 2968:Hermann Weyl on intuition and the continuum 2832:The Search for Mathematical Roots 1870-1940 2124:. Cambridge University Press. p. 345. 1035:. He was able to develop most of classical 3268: 3049: 3026: 3012: 3004: 2923:) Springer-Verlag New York, New York, N.Y. 2521:. Princeton University Press. p. 12. 1436:The Theory of Groups and Quantum Mechanics 1394:The Theory of Groups and Quantum Mechanics 1361:1925. (publ. 1988 ed. K. Chandrasekharan) 743:. These works started an important domain— 47: 36: 2934:Weyl, Hermann (2012), Peter Pesic (ed.), 2824:, Bern; New York; Paris: Peter Lang 1988, 2794: 2751: 2634: 2472: 2444:: 7–8 of article on pp. 6–13 & p. 20. 2029: 1882: 1592: 1463:1934. "On generalized Riemann matrices," 789:early work in topology for this purpose. 680:Learn how and when to remove this message 355:tradition of mathematics, represented by 3900:Fellows of the American Physical Society 1423:, 56, pp 330–352. – introduction of the 1407: 566:International Congress of Mathematicians 514:(February 19, 1915 – July 20, 1977) and 2367:American Academy of Arts & Sciences 2206:(1948) by Fritz Joachim Weyl. See: (i) 1997: 1995: 1967:MacTutor History of Mathematics Archive 1849: 1694:List of things named after Hermann Weyl 1630: 125:List of topics named after Hermann Weyl 2959:National Academy of Sciences biography 2208:http://www.worldcat.org/oclc/724142550 1350:Mathematische Analyse des Raumproblems 1102:, and moreover, that asking about the 2839:Emergence of the Theory of Lie Groups 1855: 1853: 1439:," London, : Methuen & Co., 1241: 773:), which gave a unified treatment of 582:American Academy of Arts and Sciences 318: 144:Ellen BĂ€r (nĂ©e Lohnstein) (1902–1988) 7: 3905:Foreign members of the Royal Society 3895:Institute for Advanced Study faculty 1901:(1944). "David Hilbert. 1862-1943". 1419:1929. "Elektron und Gravitation I", 1376:, Princeton University Press, 2009, 662:adding citations to reliable sources 526:. In 1950. Hermann married sculptor 3598:Tolman–Oppenheimer–Volkoff equation 3551:Friedmann–LemaĂźtre–Robertson–Walker 2455:Robertson, H. P.; Weyl, H. (1929). 1943:Stanford Encyclopedia of Philosophy 1171:. This equation describes massless 1011:. It was developed by many others. 479:. His doctorate was awarded at the 3915:20th-century German mathematicians 2701:in Hopos, Band 3, 2013, S. 164–168 2145:UniversitĂ€t ZĆ©rich Matrikeledition 2062:"An Interview With Michael Atiyah" 2007:"Prof. Hermann Weyl, For.Mem.R.S." 1389:Gruppentheorie und Quantenmechanik 1187:, a type of topological material. 1167:, for use in a replacement to the 999:, which was a fundamental step in 564:Weyl was a Plenary Speaker of the 25: 3368:Hamilton–Jacobi–Einstein equation 1259:Princeton Univ. Press, p144; 1952 928:became a mainstream part both of 576:. He was elected a fellow of the 3965:20th-century German philosophers 3846: 3845: 2820:Deppert, Wolfgang et al., eds., 2731:Die Idee der Riemannschen FlĂ€che 2579:Charles Q. Choi (16 July 2015). 1940:: entry by James Ladyman in the 1667: 1648: 1633: 1302:The Concept of a Riemann Surface 1298:Die Idee der Riemannschen Flāche 771:The Concept of a Riemann Surface 767:Die Idee der Riemannschen FlĂ€che 638: 295: 27:German mathematician (1885–1955) 2796:10.1090/s0002-9904-1940-07236-2 2753:10.1090/s0002-9904-1914-02505-4 2474:10.1090/S0002-9904-1929-04801-8 1835:on the "very weak" form of the 1688:Topics named after Hermann Weyl 1594:10.1090/S0002-9904-1950-09369-0 1564:rept. 1998 Princeton U. Press. 1472:Elementary Theory of Invariants 715:Weyl law § Weyl conjecture 649:needs additional citations for 492:Friederike Bertha Helene Joseph 3955:University of Göttingen alumni 3175:Mass–energy equivalence (E=mc) 2995:Works by or about Hermann Weyl 2067:The Mathematical Intelligencer 1609:. Princeton University Press. 1446:Yale, rept. 1989 Oxbow Press 1391:. transl. by H. P. Robertson, 843:, specifically Husserl's 1913 727:) in which he proved that the 586:American Philosophical Society 541:, where he was a colleague of 1: 3880:Burials at Princeton Cemetery 2276:Schrödinger: Life and Thought 1988:Mathematics Genealogy Project 1539:10.1215/S0012-7094-39-00540-5 1337:, Methuen, rept. 1952 Dover. 889:case he proved a fundamental 820:as geometrical properties of 588:in 1935, and a member of the 3890:Academic staff of ETH Zurich 2693:Rezension von Sierokas Buch 2416:National Academy of Sciences 1619:1968. in K. Chandrasekharan 1023:Weyl developed the logic of 987:Weyl also showed how to use 606:Institute for Advanced Study 590:National Academy of Sciences 380:Institute for Advanced Study 351:, he is associated with the 211:Institute for Advanced Study 3950:German relativity theorists 3190:Relativistic Doppler effect 2841:, New York: Springer, 2000. 1600:Josiah Wilard Gibbs Lecture 1562:Algebraic Theory of Numbers 1363:Riemann's Geometrische Idee 1003:. This work applied to the 705:Distribution of eigenvalues 487:, whom he greatly admired. 276:Other notable students 166:Fellow of the Royal Society 3986: 3661:In computational physics: 3185:Relativity of simultaneity 2212:http://d-nb.info/993224164 1744:relativistic wave equation 1691: 1496:Princeton University Press 1397:, 1931, rept. 1950 Dover. 1156: 1108:least upper bound property 1039:, while using neither the 1027:using the lower levels of 1015:Foundations of mathematics 997:uniform distribution mod 1 980: 908:, in large measure due to 858: 754: 708: 201:Foundations of Mathematics 29: 3843: 3498:Lense–Thirring precession 3080:Doubly special relativity 2885:Mathematische Zeitschrift 2434:"Princeton & Physics" 2169:"In Memoriam Helene Weyl" 2122:Remarkable Mathematicians 1865:"Hermann Weyl. 1885-1955" 1795:: see Weyl transformation 1526:Duke Mathematical Journal 1460:U. of Pennsylvania Press. 1066:Shortly after publishing 995:, with his criterion for 993:diophantine approximation 584:in 1929, a member of the 580:in 1928, a member of the 578:American Physical Society 483:under the supervision of 445:Hermann Weyl was born in 294: 285: 181: 46: 3358:Post-Newtonian formalism 3348:Einstein field equations 3284:Mathematical formulation 3108:Hyperbolic orthogonality 2915:(Oberwolfach Seminars) ( 2847:The Mathematical Gazette 2813:ed. K. Chandrasekharan, 1972:University of St Andrews 1033:ramified theory of types 765:In 1913, Weyl published 696:Hermann Weyl (left) and 382:during its early years. 157:Michael Weyl (1917–2011) 129:Ontic structural realism 3925:German number theorists 3069:Galilean transformation 3060:Principle of relativity 2834:. Princeton Uni. Press. 2653:10.1126/science.aaa9297 2438:Princeton Alumni Weekly 2204:In Memoriam Helene Weyl 1625:Gesammelte Abhandlungen 1523:(1939b), "Invariants", 1224:Gesammelte Abhandlungen 719:In 1911 Weyl published 481:University of Göttingen 353:University of Göttingen 306:Hermann Klaus Hugo Weyl 215:University of Göttingen 115:University of Göttingen 60:Hermann Klaus Hugo Weyl 3885:Differential geometers 3154:Lorentz transformation 2273:Moore, Walter (1989). 1917:10.1098/rsbm.1944.0006 1884:10.1098/rsbm.1957.0021 1735:Weyl character formula 1641:Temps, espace, matiĂšre 1581:Bull. Amer. Math. Soc. 1575:Weyl, Hermann (1950), 1417: 1147:law of excluded middle 1045:proof by contradiction 1009:additive number theory 1001:analytic number theory 883:matrix representations 777:. In it Weyl utilized 701: 411:history of mathematics 3622:Weyl−Lewis−Papapetrou 3363:Raychaudhuri equation 3302:Equivalence principle 2986:Works by Hermann Weyl 2828:Ivor Grattan-Guinness 2783:Bull. Amer. Math. Soc 2740:Bull. Amer. Math. Soc 2683:Verlagsseite zum Buch 2461:Bull. Amer. Math. Soc 2261:Carl Friedrich Geiser 2181:Princeton, New Jersey 1814:Weyl–Schouten theorem 1675:Raum - Zeit - Materie 1411: 1005:Riemann zeta function 981:Further information: 965:and results on their 955:general linear groups 824:. The Weyl tensor in 814:electromagnetic field 755:Further information: 709:Further information: 695: 610:Princeton, New Jersey 349:Princeton, New Jersey 329:theoretical physicist 267:Julius Adams Stratton 3940:People from Elmshorn 3663:Numerical relativity 3504:pulsar timing arrays 2981:Hermann Weyl Website 2774:The Classical Groups 2569:not in concurrence). 2432:(24 February 1961). 2392:search.amphilsoc.org 2388:"APS Member History" 2349:"APS Fellow Archive" 2241:on December 22, 2015 2120:James, Ioan (2002). 1958:Robertson, Edmund F. 1938:"Structural Realism" 1701:Majorana–Weyl spinor 1025:predicative analysis 942:The Classical Groups 904:. Together with the 658:improve this article 594:Princeton University 555:University of ZĂŒrich 508:JosĂ© Ortega y Gasset 449:, a small town near 357:Carl Friedrich Gauss 197:Mathematical physics 111:University of Munich 3910:German male writers 3555:Friedmann equations 3449:Hulse–Taylor binary 3411:Gravitational waves 3307:Riemannian geometry 3133:Proper acceleration 3118:Maxwell's equations 3064:Galilean relativity 2979:Straub, William O. 2973:Feferman, Solomon. 2645:2015Sci...349..613X 2430:Shenstone, Allen G. 2022:1956Natur.177..457D 1956:O'Connor, John J.; 1809:Weyl transformation 1656:Space, Time, Matter 1627:. Vol IV. Springer. 1414:Howard P. Robertson 1328:Raum, Zeit, Materie 934:theoretical physics 826:Riemannian geometry 818:gravitational field 802:Space, Time, Matter 798:Raum, Zeit, Materie 757:Weyl transformation 598:Howard P. Robertson 457:, and attended the 372:theoretical physics 262:Alexander Weinstein 3930:Linear algebraists 3604:Reissner–Nordström 3522:Brans–Dicke theory 3353:Linearized gravity 3180:Length contraction 3098:Frame of reference 3075:Special relativity 2897:10.1007/BF01110732 2505:Princeton Cemetery 2193:WashingtonPost.com 2174:2020-02-05 at the 2080:10.1007/BF03024202 1711:Schur–Weyl duality 1706:Peter–Weyl theorem 1421:Zeitschrift Physik 1418: 1106:or falsity of the 861:Peter–Weyl theorem 830:conformal geometry 787:L. E. J. Brouwer's 779:point set topology 702: 617:Princeton Cemetery 547:general relativity 512:Fritz Joachim Weyl 415:general relativity 153:Fritz Joachim Weyl 3857: 3856: 3671: 3670: 3650:OzsvĂĄth–SchĂŒcking 3256: 3255: 3238:Minkowski diagram 3195:Thomas precession 3138:Relativistic mass 2990:Project Gutenberg 2945:978-0-486-48903-2 2629:(6248): 613–617. 2223:artist-finder.com 2131:978-0-521-52094-2 2016:(4506): 457–458. 2005:(10 March 1956). 1774:Weyl quantization 1505:978-0-691-05756-9 1382:978-0-691-14120-6 1334:Space Time Matter 1304:. Addison–Wesley. 1275:Space-Time-Matter 963:symplectic groups 959:orthogonal groups 918:Weyl quantization 898:quantum mechanics 891:character formula 887:compact Lie group 690: 689: 682: 568:(ICM) in 1928 at 551:Erwin Schrödinger 532:Richard Josef BĂ€r 500:Ribnitz-Damgarten 417:with the laws of 365:Hermann Minkowski 303: 302: 280:Saunders Mac Lane 255:Doctoral students 183:Scientific career 170:Lobachevsky Prize 16:(Redirected from 3977: 3849: 3848: 3632:van Stockum dust 3404:Two-body problem 3322:Mach's principle 3269: 3210:Terrell rotation 3050: 3028: 3021: 3014: 3005: 2999:Internet Archive 2948: 2908: 2878: 2837:Thomas Hawkins, 2801: 2800: 2798: 2780: 2776:by Hermann Weyl" 2764: 2758: 2757: 2755: 2737: 2733:by Hermann Weyl" 2721: 2715: 2708: 2702: 2691: 2685: 2679: 2673: 2672: 2638: 2613: 2607: 2606: 2595: 2589: 2588: 2576: 2570: 2557:Gurevich, Yuri. 2555: 2549: 2543: 2537: 2536: 2514: 2508: 2497: 2491: 2485: 2479: 2478: 2476: 2452: 2446: 2445: 2426: 2420: 2419: 2408: 2402: 2401: 2399: 2398: 2384: 2378: 2377: 2375: 2374: 2359: 2353: 2352: 2345: 2339: 2338: 2313: 2307: 2297: 2291: 2290: 2270: 2264: 2257: 2251: 2250: 2248: 2246: 2237:. 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A. 1857: 1837:Laplace equation 1819:Weyl's criterion 1671: 1652: 1637: 1597: 1596: 1557: 1516: 1357:Was ist Materie? 1205:Martin Heidegger 1126:phenomenological 1029:Bertrand Russell 989:exponential sums 983:Weyl's criterion 951:symmetric groups 947:invariant theory 930:pure mathematics 914:Heisenberg group 910:John von Neumann 837:phenomenological 775:Riemann surfaces 685: 678: 674: 671: 665: 642: 634: 419:electromagnetism 322: 317: 313: 299: 244:Doctoral advisor 238: 193:Pure mathematics 91: 69: 67: 51: 37: 21: 3985: 3984: 3980: 3979: 3978: 3976: 3975: 3974: 3860: 3859: 3858: 3853: 3839: 3667: 3571:BKL singularity 3561:LemaĂźtre–Tolman 3536: 3532:Quantum gravity 3514: 3508: 3494:geodetic effect 3468:(together with 3438:LISA Pathfinder 3377: 3326: 3312:Penrose diagram 3294: 3288: 3263: 3252: 3248:Minkowski space 3214: 3158: 3142: 3090: 3084: 3044: 3037: 3032: 2955: 2946: 2933: 2882: 2859:10.2307/3615116 2844: 2810: 2808:Further reading 2805: 2804: 2778: 2766: 2765: 2761: 2735: 2723: 2722: 2718: 2709: 2705: 2692: 2688: 2680: 2676: 2615: 2614: 2610: 2605:. 16 July 2015. 2597: 2596: 2592: 2578: 2577: 2573: 2556: 2552: 2544: 2540: 2529: 2516: 2515: 2511: 2498: 2494: 2486: 2482: 2454: 2453: 2449: 2428: 2427: 2423: 2410: 2409: 2405: 2396: 2394: 2386: 2385: 2381: 2372: 2370: 2361: 2360: 2356: 2347: 2346: 2342: 2335: 2315: 2314: 2310: 2298: 2294: 2287: 2272: 2271: 2267: 2258: 2254: 2244: 2242: 2233: 2232: 2228: 2221: 2217: 2202: 2198: 2191: 2187: 2176:Wayback Machine 2166: 2162: 2154: 2150: 2143: 2139: 2132: 2119: 2118: 2114: 2100: 2099: 2095: 2058:Atiyah, Michael 2056: 2055: 2051: 2001: 2000: 1993: 1982: 1978: 1955: 1954: 1950: 1936: 1932: 1911:(13): 547–553. 1897: 1896: 1892: 1859: 1858: 1851: 1846: 1841: 1828:hypoellipticity 1788:exponential sum 1696: 1690: 1685: 1678: 1672: 1663: 1653: 1644: 1638: 1574: 1519: 1506: 1484: 1458:Mind and Nature 1284: 1213: 1193: 1185:Weyl semimetals 1161: 1155: 1142:classical logic 1074:of Brouwer. In 1047:, and avoiding 1041:axiom of choice 1017: 985: 979: 971:representations 875: 859:Main articles: 857: 796:physics in his 763: 753: 741:Weyl conjecture 717: 707: 686: 675: 669: 666: 655: 643: 632: 543:Albert Einstein 524:Richard Courant 443: 315: 309: 271: 236: 217: 213: 173: 168: 156: 143: 131: 127: 113: 107:Alma mater 102: 93: 89: 88:8 December 1955 80: 71: 70:9 November 1885 65: 63: 62: 61: 42: 35: 28: 23: 22: 15: 12: 11: 5: 3983: 3981: 3973: 3972: 3967: 3962: 3957: 3952: 3947: 3942: 3937: 3932: 3927: 3922: 3917: 3912: 3907: 3902: 3897: 3892: 3887: 3882: 3877: 3872: 3862: 3861: 3855: 3854: 3844: 3841: 3840: 3838: 3837: 3830: 3825: 3820: 3815: 3810: 3805: 3800: 3795: 3790: 3785: 3780: 3775: 3770: 3765: 3760: 3758:Choquet-Bruhat 3755: 3750: 3745: 3740: 3735: 3730: 3725: 3720: 3715: 3710: 3705: 3700: 3695: 3690: 3685: 3679: 3677: 3673: 3672: 3669: 3668: 3666: 3665: 3658: 3657: 3652: 3647: 3640: 3639: 3634: 3629: 3624: 3619: 3610:Axisymmetric: 3607: 3606: 3601: 3595: 3584: 3583: 3578: 3573: 3568: 3563: 3558: 3549:Cosmological: 3546: 3544: 3538: 3537: 3535: 3534: 3529: 3524: 3518: 3516: 3510: 3509: 3507: 3506: 3501: 3490:frame-dragging 3487: 3482: 3477: 3474:Einstein rings 3470:Einstein cross 3463: 3452: 3451: 3446: 3440: 3435: 3430: 3417: 3407: 3406: 3401: 3396: 3391: 3385: 3383: 3379: 3378: 3376: 3375: 3373:Ernst equation 3370: 3365: 3360: 3355: 3350: 3345: 3343:BSSN formalism 3340: 3334: 3332: 3328: 3327: 3325: 3324: 3319: 3314: 3309: 3304: 3298: 3296: 3290: 3289: 3287: 3286: 3281: 3275: 3273: 3266: 3258: 3257: 3254: 3253: 3251: 3250: 3245: 3240: 3235: 3230: 3224: 3222: 3216: 3215: 3213: 3212: 3207: 3202: 3200:Ladder paradox 3197: 3192: 3187: 3182: 3177: 3172: 3166: 3164: 3160: 3159: 3157: 3156: 3150: 3148: 3144: 3143: 3141: 3140: 3135: 3130: 3125: 3120: 3115: 3110: 3105: 3103:Speed of light 3100: 3094: 3092: 3086: 3085: 3083: 3082: 3077: 3072: 3066: 3056: 3054: 3047: 3039: 3038: 3033: 3031: 3030: 3023: 3016: 3008: 3002: 3001: 2992: 2983: 2977: 2971: 2961: 2954: 2953:External links 2951: 2950: 2949: 2944: 2931: 2924: 2909: 2891:(3): 296–298. 2879: 2842: 2835: 2825: 2818: 2809: 2806: 2803: 2802: 2789:(7): 592–595. 2759: 2746:(7): 384–387. 2725:Moulton, F. R. 2716: 2703: 2699:Thomas Ryckman 2686: 2674: 2619:M. Zahid Hasan 2608: 2590: 2571: 2550: 2538: 2527: 2509: 2492: 2480: 2467:(5): 686–690. 2447: 2421: 2412:"Hermann Weyl" 2403: 2379: 2363:"Hermann Weyl" 2354: 2340: 2333: 2308: 2292: 2285: 2265: 2252: 2226: 2215: 2196: 2185: 2160: 2148: 2137: 2130: 2112: 2093: 2049: 1991: 1976: 1962:"Hermann Weyl" 1948: 1930: 1890: 1848: 1847: 1845: 1842: 1840: 1839: 1830: 1821: 1816: 1811: 1806: 1804:Weyl transform 1801: 1796: 1790: 1781: 1776: 1771: 1766: 1761: 1756: 1751: 1749:Weyl expansion 1746: 1737: 1732: 1727: 1725:gamma matrices 1718: 1713: 1708: 1703: 1697: 1692:Main article: 1689: 1686: 1684: 1681: 1680: 1679: 1677:(German, 1918) 1673: 1666: 1664: 1660:Henry L. Brose 1654: 1647: 1645: 1643:(French, 1922) 1639: 1632: 1629: 1628: 1617: 1603: 1598:(text of 1948 1587:(2): 115–139, 1572: 1558: 1533:(3): 489–502, 1517: 1504: 1482: 1475: 1468: 1461: 1454: 1444:The Open World 1440: 1431: 1405: 1385: 1366: 1359: 1353: 1346: 1323: 1311:, trans. 1987 1305: 1294: 1283: 1280: 1279: 1278: 1270: 1269: 1261: 1260: 1252: 1251: 1246: 1245: 1237: 1236: 1232: 1231: 1230:, 1943, p. 392 1226:—as quoted in 1219: 1218: 1212: 1209: 1201:Ernst Cassirer 1192: 1189: 1181:Quasiparticles 1169:Dirac equation 1157:Main article: 1154: 1151: 1134:Ernst Cassirer 1128:philosophy of 1057:constructivism 1016: 1013: 978: 975: 881:, in terms of 879:compact groups 856: 853: 841:Edmund Husserl 839:philosophy of 785:. He absorbed 752: 749: 706: 703: 688: 687: 646: 644: 637: 631: 628: 504:Edmund Husserl 442: 439: 435:Michael Atiyah 320:[vaÉȘl] 301: 300: 292: 291: 287: 286: 283: 282: 277: 273: 272: 270: 269: 264: 258: 256: 252: 251: 246: 240: 239: 228: 222: 221: 208: 204: 203: 190: 186: 185: 179: 178: 163: 159: 158: 150: 146: 145: 140: 136: 135: 122: 121:Known for 118: 117: 108: 104: 103: 94: 92:(aged 70) 86: 82: 81: 72: 59: 57: 53: 52: 44: 43: 40: 32:Weyl (surname) 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3982: 3971: 3968: 3966: 3963: 3961: 3958: 3956: 3953: 3951: 3948: 3946: 3943: 3941: 3938: 3936: 3933: 3931: 3928: 3926: 3923: 3921: 3918: 3916: 3913: 3911: 3908: 3906: 3903: 3901: 3898: 3896: 3893: 3891: 3888: 3886: 3883: 3881: 3878: 3876: 3873: 3871: 3868: 3867: 3865: 3852: 3842: 3836: 3835: 3831: 3829: 3826: 3824: 3821: 3819: 3816: 3814: 3811: 3809: 3806: 3804: 3801: 3799: 3796: 3794: 3791: 3789: 3786: 3784: 3781: 3779: 3776: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3756: 3754: 3751: 3749: 3746: 3744: 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2194: 2189: 2186: 2182: 2177: 2173: 2170: 2164: 2161: 2156: 2152: 2149: 2146: 2141: 2138: 2133: 2127: 2123: 2116: 2113: 2108: 2104: 2097: 2094: 2089: 2085: 2081: 2077: 2073: 2069: 2068: 2063: 2059: 2053: 2050: 2046: 2041: 2037: 2032: 2027: 2023: 2019: 2015: 2011: 2008: 2004: 2003:Freeman Dyson 1998: 1996: 1992: 1989: 1985: 1980: 1977: 1973: 1969: 1968: 1963: 1959: 1952: 1949: 1945: 1944: 1939: 1934: 1931: 1926: 1922: 1918: 1914: 1910: 1906: 1905: 1900: 1894: 1891: 1885: 1880: 1876: 1872: 1871: 1866: 1862: 1856: 1854: 1850: 1843: 1838: 1834: 1831: 1829: 1825: 1822: 1820: 1817: 1815: 1812: 1810: 1807: 1805: 1802: 1800: 1797: 1794: 1793:Weyl symmetry 1791: 1789: 1785: 1782: 1780: 1777: 1775: 1772: 1770: 1769:Weyl notation 1767: 1765: 1762: 1760: 1757: 1755: 1752: 1750: 1747: 1745: 1741: 1740:Weyl equation 1738: 1736: 1733: 1731: 1728: 1726: 1722: 1719: 1717: 1714: 1712: 1709: 1707: 1704: 1702: 1699: 1698: 1695: 1687: 1682: 1676: 1670: 1665: 1661: 1657: 1651: 1646: 1642: 1636: 1631: 1626: 1622: 1618: 1616: 1615:0-691-02374-3 1612: 1608: 1604: 1601: 1595: 1590: 1586: 1582: 1578: 1573: 1571: 1570:0-691-05917-9 1567: 1563: 1559: 1556: 1552: 1548: 1544: 1540: 1536: 1532: 1528: 1527: 1522: 1521:Weyl, Hermann 1518: 1515: 1511: 1507: 1501: 1497: 1493: 1492: 1487: 1486:Weyl, Hermann 1483: 1480: 1476: 1473: 1469: 1466: 1465:Ann. Math. 35 1462: 1459: 1455: 1453: 1452:0-918024-70-6 1449: 1445: 1441: 1438: 1437: 1432: 1430: 1426: 1422: 1415: 1410: 1406: 1404: 1403:0-486-60269-9 1400: 1396: 1395: 1390: 1386: 1383: 1379: 1375: 1374:Frank Wilczek 1371: 1367: 1364: 1360: 1358: 1354: 1351: 1347: 1344: 1343:0-486-60267-2 1340: 1336: 1335: 1330: 1329: 1324: 1322: 1321:0-486-67982-9 1318: 1314: 1310: 1309:Das Kontinuum 1306: 1303: 1299: 1295: 1292: 1291: 1286: 1285: 1281: 1276: 1272: 1271: 1267: 1266:comprehending 1263: 1262: 1258: 1254: 1253: 1248: 1247: 1243: 1239: 1238: 1234: 1233: 1229: 1225: 1221: 1220: 1215: 1214: 1210: 1208: 1206: 1202: 1198: 1197:Immanuel Kant 1190: 1188: 1186: 1182: 1178: 1174: 1170: 1166: 1165:Weyl equation 1160: 1159:Weyl equation 1153:Weyl equation 1152: 1150: 1148: 1143: 1137: 1135: 1131: 1127: 1122: 1120: 1115: 1113: 1109: 1105: 1101: 1097: 1093: 1088: 1084: 1081: 1077: 1076:The Continuum 1073: 1069: 1068:The Continuum 1064: 1062: 1058: 1054: 1053:infinite sets 1050: 1046: 1042: 1038: 1034: 1030: 1026: 1022: 1021:The Continuum 1014: 1012: 1010: 1007:, as well as 1006: 1002: 998: 994: 990: 984: 976: 974: 972: 968: 964: 960: 956: 952: 949:. It covered 948: 945:reconsidered 944: 943: 937: 935: 931: 927: 923: 919: 915: 911: 907: 903: 899: 894: 892: 888: 884: 880: 874: 870: 866: 862: 854: 852: 850: 849:Gottlob Frege 846: 842: 838: 833: 831: 827: 823: 819: 815: 811: 807: 803: 799: 795: 790: 788: 784: 780: 776: 772: 768: 762: 758: 750: 748: 746: 742: 738: 734: 730: 726: 722: 716: 712: 704: 699: 694: 684: 681: 673: 670:February 2017 663: 659: 653: 652: 647:This section 645: 641: 636: 635: 630:Contributions 629: 627: 625: 620: 618: 613: 611: 607: 601: 599: 595: 591: 587: 583: 579: 575: 571: 567: 562: 560: 556: 552: 548: 544: 540: 535: 533: 529: 525: 521: 520:Oswald Veblen 517: 513: 509: 505: 501: 497: 493: 488: 486: 485:David Hilbert 482: 478: 474: 469: 467: 463: 460: 456: 452: 448: 440: 438: 436: 432: 428: 424: 423:Freeman Dyson 420: 416: 412: 408: 404: 400: 396: 392: 388: 383: 381: 377: 376:number theory 373: 368: 366: 362: 361:David Hilbert 358: 354: 350: 346: 342: 338: 334: 330: 326: 325:mathematician 321: 312: 307: 298: 293: 288: 284: 281: 278: 274: 268: 265: 263: 260: 259: 257: 253: 250: 249:David Hilbert 247: 245: 241: 234: 233: 229: 227: 223: 220: 216: 212: 209: 205: 202: 198: 194: 191: 187: 184: 180: 176: 175:Gibbs Lecture 171: 167: 164: 160: 154: 151: 147: 141: 137: 134: 130: 126: 123: 119: 116: 112: 109: 105: 101: 97: 87: 83: 79: 78:German Empire 75: 58: 54: 50: 45: 38: 33: 19: 3833: 3712: 3527:Kaluza–Klein 3279:Introduction 3205:Twin paradox 2966: 2935: 2927: 2912: 2888: 2884: 2850: 2846: 2838: 2831: 2821: 2814: 2786: 2782: 2773: 2768:Jacobson, N. 2762: 2743: 2739: 2730: 2719: 2711: 2706: 2694: 2689: 2677: 2626: 2622: 2611: 2602: 2593: 2584: 2574: 2562: 2553: 2541: 2532: 2518: 2512: 2495: 2487: 2483: 2464: 2460: 2450: 2441: 2437: 2424: 2415: 2406: 2395:. Retrieved 2391: 2382: 2371:. Retrieved 2369:. 2023-02-09 2366: 2357: 2343: 2324: 2321:von H. Weyl" 2318: 2311: 2304:Arthur March 2295: 2275: 2268: 2255: 2245:December 18, 2243:. Retrieved 2239:the original 2229: 2218: 2203: 2199: 2188: 2163: 2151: 2140: 2121: 2115: 2106: 2103:Christianeum 2102: 2096: 2071: 2065: 2052: 2043: 2013: 2009: 1984:Hermann Weyl 1979: 1965: 1951: 1941: 1933: 1908: 1902: 1898: 1893: 1874: 1868: 1833:Weyl's lemma 1824:Weyl's lemma 1786:, a type of 1764:Weyl gravity 1754:Weyl fermion 1730:Weyl chamber 1716:Weyl algebra 1674: 1655: 1640: 1624: 1620: 1606: 1584: 1580: 1561: 1530: 1524: 1520: 1490: 1485: 1478: 1471: 1464: 1457: 1443: 1434: 1420: 1392: 1388: 1369: 1362: 1356: 1349: 1332: 1326: 1312: 1308: 1301: 1297: 1288: 1282:Bibliography 1274: 1265: 1256: 1227: 1223: 1194: 1162: 1138: 1123: 1116: 1100:countability 1092:real numbers 1087:George PĂłlya 1085: 1075: 1072:intuitionism 1067: 1065: 1049:Georg Cantor 1020: 1018: 986: 940: 938: 926:Lie algebras 895: 876: 873:Weyl algebra 844: 834: 810:gauge theory 801: 797: 791: 770: 766: 764: 724: 720: 718: 698:Ernst Peschl 676: 667: 656:Please help 651:verification 648: 621: 614: 602: 563: 536: 516:Michael Weyl 496:Bruno Joseph 489: 470: 462:Christianeum 444: 384: 369: 305: 304: 230: 207:Institutions 182: 90:(1955-12-08) 41:Hermann Weyl 3875:1955 deaths 3870:1885 births 3616:Kerr–Newman 3587:Spherical: 3456:Other tests 3399:Singularity 3331:Formulation 3293:Fundamental 3147:Formulation 3128:Proper time 3089:Fundamental 2501:columbarium 1877:: 305–328. 1799:Weyl tensor 1779:Weyl spinor 1300:, 2d 1955. 1242:Weyl (1939b 869:Weyl spinor 761:Weyl tensor 729:eigenvalues 622:Weyl was a 561:, England. 347:, and then 345:Switzerland 337:philosopher 155:(1915–1977) 100:Switzerland 3935:Pantheists 3864:Categories 3768:Zel'dovich 3676:Scientists 3655:Alcubierre 3462:of Mercury 3460:precession 3389:Black hole 3272:Background 3264:relativity 3233:World line 3228:Light cone 3053:Background 3045:relativity 3035:Relativity 2695:Umgebungen 2636:1502.03807 2567:Kurt Gödel 2397:2023-06-05 2373:2023-06-05 2109:(1): 3–15. 1844:References 1759:Weyl gauge 1721:Weyl basis 1467:: 400–415. 1191:Philosophy 967:invariants 922:Lie groups 865:Weyl group 794:relativity 745:asymptotic 539:ETH ZĂŒrich 399:philosophy 219:ETH ZĂŒrich 66:1885-11-09 3738:Robertson 3723:Friedmann 3718:Eddington 3708:de Sitter 3542:Solutions 3420:detectors 3415:astronomy 3382:Phenomena 3317:Geodesics 3220:Spacetime 3163:Phenomena 2938:, Dover, 2905:118945480 2875:125725659 2772:"Review: 2729:"Review: 2710:Sieroka: 2669:206636457 2210:and (ii) 2088:140298726 2074:(1): 19. 2040:216075495 1925:161435959 1547:0012-7094 1244:, p. 500) 1177:Neutrinos 1119:formalist 1080:continuum 939:His book 885:. In the 822:spacetime 783:manifolds 733:Laplacian 624:pantheist 528:Ellen BĂ€r 473:Göttingen 459:Gymnasium 441:Biography 290:Signature 3851:Category 3728:LemaĂźtre 3693:Einstein 3683:PoincarĂ© 3643:Others: 3627:Taub–NUT 3593:interior 3515:theories 3513:Advanced 3480:redshift 3295:concepts 3113:Rapidity 3091:concepts 2830:, 2000. 2770:(1940). 2727:(1914). 2661:26184916 2172:Archived 2060:(1984). 1899:Weyl, H. 1863:(1957). 1784:Weyl sum 1683:See also 1607:Symmetry 1488:(1939), 1425:vierbein 1257:Symmetry 1173:fermions 1037:calculus 816:and the 737:Weyl law 711:Weyl law 447:Elmshorn 427:PoincarĂ© 409:and the 407:symmetry 333:logician 311:ForMemRS 149:Children 133:Wormhole 74:Elmshorn 3793:Hawking 3788:Penrose 3773:Novikov 3753:Wheeler 3698:Hilbert 3688:Lorentz 3645:pp-wave 3466:lensing 3262:General 3043:Special 2997:at the 2867:3615116 2641:Bibcode 2623:Science 2587:. IEEE. 2018:Bibcode 1986:at the 1723:of the 1555:0000030 1514:0000255 1296:1913. 1130:Husserl 902:spinors 731:of the 700:(right) 570:Bologna 455:Germany 451:Hamburg 431:Hilbert 316:German: 139:Spouses 3834:others 3823:Thorne 3813:Misner 3798:Taylor 3783:Geroch 3778:Ehlers 3748:Zwicky 3566:Kasner 2942:  2919:  2903:  2873:  2865:  2667:  2659:  2525:  2331:  2283:  2128:  2086:  2045:ended. 2038:  2010:Nature 1923:  1613:  1605:1952. 1568:  1560:1940. 1553:  1545:  1512:  1502:  1477:1935. 1470:1935. 1456:1934. 1450:  1442:1933. 1433:1931: 1401:  1387:1928. 1380:  1355:1924. 1348:1923. 1341:  1325:1918. 1319:  1307:1918. 1287:1911. 1211:Quotes 1098:, and 1061:Fichte 961:, and 871:, and 559:Oxford 477:Munich 466:Altona 395:matter 341:ZĂŒrich 237:(1908) 235:  226:Thesis 189:Fields 177:(1948) 172:(1927) 162:Awards 96:ZĂŒrich 3828:Weiss 3808:Bondi 3803:Hulse 3733:Milne 3637:discs 3581:Milne 3576:Gödel 3433:Virgo 2901:S2CID 2871:S2CID 2863:JSTOR 2779:(PDF) 2736:(PDF) 2665:S2CID 2631:arXiv 2084:S2CID 2036:S2CID 1921:S2CID 1427:into 1112:Hegel 1104:truth 806:gauge 453:, in 403:logic 387:space 3763:Kerr 3713:Weyl 3612:Kerr 3472:and 3426:and 3424:LIGO 2940:ISBN 2917:ISBN 2697:von 2657:PMID 2523:ISBN 2329:ISBN 2281:ISBN 2247:2015 2126:ISBN 1742:, a 1611:ISBN 1566:ISBN 1543:ISSN 1500:ISBN 1448:ISBN 1399:ISBN 1378:ISBN 1339:ISBN 1317:ISBN 1250:way. 1096:sets 1043:nor 969:and 932:and 924:and 832:. 759:and 713:and 574:Oslo 522:and 475:and 429:and 391:time 363:and 335:and 85:Died 56:Born 18:Weyl 3818:Yau 3443:GEO 2988:at 2893:doi 2889:126 2855:doi 2791:doi 2748:doi 2649:doi 2627:349 2469:doi 2076:doi 2026:doi 2014:177 1913:doi 1879:doi 1826:on 1589:doi 1535:doi 1051:'s 1031:'s 1019:In 991:in 660:by 608:in 464:in 3866:: 3492:/ 3458:: 3413:: 2899:. 2887:. 2869:, 2861:, 2851:64 2849:, 2787:46 2785:. 2781:. 2744:20 2742:. 2738:. 2663:. 2655:. 2647:. 2639:. 2625:. 2601:. 2583:. 2561:, 2531:. 2465:35 2463:. 2459:. 2442:61 2440:. 2436:. 2414:. 2390:. 2365:. 2323:. 2107:63 2105:. 2082:. 2070:. 2064:. 2042:. 2034:. 2024:. 2012:. 1994:^ 1970:, 1964:, 1960:, 1919:. 1907:. 1873:. 1867:. 1852:^ 1623:, 1621:ed 1585:56 1583:, 1579:, 1551:MR 1549:, 1541:, 1529:, 1510:MR 1508:, 1498:, 1494:, 1429:GR 1315:. 1094:, 1063:. 973:. 957:, 953:, 936:. 893:. 867:, 863:, 626:. 600:. 433:. 421:. 405:, 401:, 397:, 393:, 389:, 367:. 359:, 343:, 331:, 327:, 308:, 199:, 195:, 98:, 76:, 3618:) 3614:( 3600:) 3591:( 3557:) 3553:( 3500:) 3496:( 3476:) 3445:) 3422:( 3071:) 3062:( 3027:e 3020:t 3013:v 2907:. 2895:: 2877:. 2857:: 2799:. 2793:: 2756:. 2750:: 2671:. 2651:: 2643:: 2633:: 2477:. 2471:: 2418:. 2400:. 2376:. 2351:. 2337:. 2317:" 2289:. 2263:. 2249:. 2134:. 2090:. 2078:: 2072:6 2028:: 2020:: 1946:. 1927:. 1915:: 1909:4 1887:. 1881:: 1875:3 1662:) 1602:) 1591:: 1537:: 1531:5 1481:. 1474:. 1416:) 1384:. 1365:. 1352:. 1345:. 1273:— 1255:— 1240:— 1222:— 800:( 769:( 723:( 683:) 677:( 672:) 668:( 654:. 314:( 68:) 64:( 34:. 20:)

Index

Weyl
Weyl (surname)

Elmshorn
German Empire
ZĂŒrich
Switzerland
University of Munich
University of Göttingen
List of topics named after Hermann Weyl
Ontic structural realism
Wormhole
Fritz Joachim Weyl
Fellow of the Royal Society
Lobachevsky Prize
Gibbs Lecture
Pure mathematics
Mathematical physics
Foundations of Mathematics
Institute for Advanced Study
University of Göttingen
ETH ZĂŒrich
Thesis
SingulĂ€re Integralgleichungen mit besonder BerĂŒcksichtigung des Fourierschen Integraltheorems
Doctoral advisor
David Hilbert
Alexander Weinstein
Julius Adams Stratton
Saunders Mac Lane

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