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Axiomatic versus constructive procedures in mathematics

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References

  1. C. Chevalley & A. Weil, «Hermann Weyl (1885-1955),»L’Enseignement Mathématique, III (1957); repr. in H. Weyl,Gesammelte Abhandlungen, IV, Springer-Verlag, Berlin, 1968, pp. 655–685.

    Google Scholar 

  2. J. Dieudonné, «Weyl Hermann,»Dictionary of Scientific Biography XIV (1967), C. C. Gillispie (ed.), Scribner’s, N.Y., pp. 281–285.

    Google Scholar 

  3. T. Tonietti, «A research proposal to study the formalist and intuitionist mathematicians of the Weimar Republic,»Historia Mathematica, 9 (1982), pp. 61–64.

    Article  Google Scholar 

  4. H. Weyl, «Über die Definitionen der mathematischen Grundbegriffe,»Mathematisch-naturwissenschaftliche Blätter, 7 (1910), pp. 93–95 and 109–113; repr. inGesam. Abh., I, pp. 298–304.

    Google Scholar 

  5. H. Weyl,Das Kontinuum, Leipzig 1918; repr. W. de Gruyter Berin, 1932.

  6. H. Weyl,Space Time Matter, Dover, N.Y., 1950. The first original edition isRaum Zeit Materie, Springer-Verlag, Berlin, 1918; in it there is no gauge theory. InSpace Time Matter, which was translated from the 4th edition, theEich-lnvarianz was called „calibration invariance.“ Previous papers which prepared gauge theory were: «Gravitation und Elektrizität» (1918), «Eine neue Erweiterung der Relativitätstheorie» (1919), and «Über die physikalischen Grundlagen der erweiterten Relativitätstheorie» (1921) repr; inGesam. Abh., II. Cf. T. Tonietti, «Weyl and Husserl» submitted toHistoria Mathematica.

  7. H. Weyl, «Über die neue Grundlagenkrise der Mathematik,»Mathematische Zeitschrift, 10 (1921), pp. 39–79; repr. inGesam. Abh., II, pp. 143–179.

    Article  MathSciNet  Google Scholar 

  8. H. Weyl, «Zur David Huberts siebzigstem Geburtstag,»Die Naturwissenschaften, 20 (1932), pp. 57–58; repr. inGesam. Abh. Ill, pp. 346–347.

    Article  MATH  Google Scholar 

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We thank Mrs. Ellen Weyl and the E.T.H. Library of Zürich for permission to publish this paper.

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Weyl, H. Axiomatic versus constructive procedures in mathematics. The Mathematical Intelligencer 7, 10–17 (1985). https://doi.org/10.1007/BF03024481

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