References

Note that the abbreviations WGA refers to Weyl, Gesammelte Abhandlungen (Weyl 1968), whose pagination will be used for all references to those works. In multivolume works, 2:111 refers to volume 2, page 111; likewise, HGA refers to David Hilbert, Gesammelte Abhandlungen (Hilbert 1932–1935). The listing of editions below is not exhaustive; only the original (first) and most recent (English) editions are listed, where appropriate.

Adler, Ronald. Maurice Bazin, and Menahem Schiffer. 1975. Introduction to General Relativity, 2nd ed. New York: McGraw-Hill.

Alunni, C., M. Castellana, D. Ria, A. Rossi, eds. 2009. Albert Einstein et Hermann Weyl, 1955–2005: Questions épistémologiques ouvertes. Mandurai: Barbieri.

Anaxagoras of Clazomenae. 2007. Fragments and Testimonia: A Text and Translation with Notes and Essays, tr. Patricia Curd. Toronto: University of Toronto Press.

Ash, Mitchell G. and Alfons Söllner (eds). 1996. Forced Migration and Scientific Change: Emigré German-Speaking Scientists and Scholars after 1933. Cambridge: Cambridge University Press.

Barrow, J. D. 1983. “Dimensionality.” Philosophical Transactions of the Royal Society of London A 310:337–346.

Bateman, H. 1909. “The Conformal Transformations of a Space of Four Dimensions and their Applications to Geometrical Optics.” Proceedings of the London Mathematical Society 7:70–89.

————. 1910a. “The Transformation of the Electrodynamical Equations.” Proceedings of the London Mathematical Society 8:223–264.

————. 1910b. “The Transformations of Coordinates Which Can Be Used to Transform One Physical Problem into Another.” Proceedings of the London Mathematical Society 8:469–488.

Bell, J. L. 2000. “Hermann Weyl on Intuition and the Continuum.” Philosophia Mathematica 8:259–273.

Benacerraf, Paul and Hilary Putnam, eds. 1964. Philosophy of Mathematics: Selected Readings. Englewood Cliffs, New Jersey: Prentice-Hall.

Bonola, Roberto. 1955. Non-Euclidean Geometry: A Critical and Historical Study of its Development. New York: Dover.

Borel, Armand. 2001. Essays in the History of Lie Groups and Algebraic Groups. Providence, Rhode Island: American Mathematical Society.

Bott, Raoul. 1988. “On Induced Representations.” Proceedings of Symposia in Pure Mathematics 48:1–13.

Bourbaki, Nicolas. 1950. “The Architecture of Mathematics.” American Mathematical Monthly 57:211–232.

Boyer, Carl. B. and Uta C. Merzbach. 1991. A History of Mathematics, 2nd. ed. New York: Wiley.

Brading, Katherine. 2002. “Which Symmetry? Noether, Weyl, and Conservation of Electric Charge.” Studies in the Philosophy of Modern Physics 33:3–22.

Brading, Katherine and Harvey R. Brown. 2003a. “Symmetries and Noether’s Theorem.” In Brading and Castellani 2003, 89–109.

Brading, Katherine and Elena Castellani, eds. 2003b. Symmetries in Physics: Philosophical Reflections. Cambridge: Cambridge University Press.

Brauer, Richard and Hermann Weyl. 1935. “Spinors in n Dimensions.” American Journal of Mathematics 57:425–449.

Brewer, James. W. and Martha K. Smith, eds. 1981. Emmy Noether: A Tribute to her Life and Work. New York: Marcel Dekker.

Brouwer, L. E. J. 1975. Brouwer Collected Works, ed. A. Heyting. Amsterdam: North-Holland.

Byers, Nina. 1996. “The Life and Times of Emmy Noether.” In Newman and Ypasilantis 1996, 945–964.

Cantor, Georg. 1980. Gesammelte Abhandlungen mathematischen und philosophis-chen Inhalt. Berlin: Springer.

Cartan, Élie. 1931. “Le parallélisme absolu et la théorie unitaire du champ,” Revue de Métaphysique et de Morale 38:13–28 (also in Cartan 1952–1955, 3(2):1167–1185).

————. 1952–1955. Œuvres complètes. Paris: Gauthier-Villars.

————. 1966. The Theory of Spinors. New York: Dover.

————. 1983. Geometry of Riemann Spaces, edited by R. Hermann, tr. J. Glazebrook. Brookline, Mass.: Mathematical Sciences Press.

————. 1986. On Manifolds with an Affine Connection and the Theory of General Relativity, tr. A. Magnon and A. Ashtekar. Naples: Bibliopolis.

Cartan, Élie and Albert Einstein. 1979. Élie Cartan—Albert Einstein: Letters on Absolute Parallelism, 1929–1932, ed. R. Debever. Princeton: Princeton University Press.

Cassirer, Ernst. 1942-1996. The Philosophy of Symbolic Forms, tr. Ralph Mann-heim. New Haven: Yale University Press.

————. 1953. Substance and Function and Einstein’s Theory of Relativity, tr. William Curtis Swabey and Marie Collins Swabey. New York: Dover.

Catt, Carrie Chapman. 1935. In Memory of Emmy Noether, Visiting Professor of Mathematics, Bryn Mawr College, 1933–April 1935. Bryn Mawr: The College.

Chandrasekharan, K., ed. 1986. Hermann Weyl: 1885–1985; Centenary Lectures delivered by C. N. Yang, R. Penrose, and A. Borel at the Eidgenössische Technische Hochschule Zürich. Berlin: Springer.

Chatterji, S. D., ed. 1995. Proceedings of the International Congress of Mathematicians, Zürich, Switzerland 1994. Basel: Birkhäuser.

Chern, Shiing-Shen. 1945. “On the curvatura integra in Riemannian manifold.” Annals of Mathematics 46: 674684.

Chevalley, Claude and André Weil. 1957. “Hermann Weyl (1885–1955).” L’Enseignement 3(3):157–187; WGA 4:655–685.

Chikara, Saski, Sugiura Mitsuo, and Joseph W. Dauben, eds. 1994. The Intersection of History and Mathematics. Basel: Birkhäuser.

Coleman, Robert and Herbert Korté. 2001. “Hermann Weyl: Mathematician, Physicist, Philosopher.” In Scholz 2001a, 161–388.

Corry, Leo. 1999. “Hilbert and Physics (1900–1915),” in Gray 1999b, 145–188.

————. 2004a. Modern Algebra and the Rise of Mathematical Structures. 2nd revised ed. Basel: Birkhäuser.

————. 2004b. David Hilbert and the Axiomatization of Physics (1898–1918): From Grundlagen der Geometrie to Grundlagen der Physik. Dordrecht: Kluwer.

————. 2006. “Axiomatics, Empiricism and Anschauung in Hilbert’s Conception of Geometry: Between Arithmetic and General Relativity.” In Ferreirós and Gray 2006, 133–156.

Courant, R. 1950. Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces. Appendix by M. Schiffer. New York: Interscience.

Courant, R. and David Hilbert. 1989. Methods of Mathematical Physics. New York: Wiley.

Cunningham, E. 1910. “The Principle of Relativity in Electrodynamics and an Extension Thereof.” Proceedings of the London Mathematical Society 8:77–98.

Dawson, John W. Jr. 1997. Logical Dilemmas: The Life and Work of Kurt Gödel. Wellesley, Mass.: A. K. Peters.

Dyson, Freeman. 1956. “Obituary of Prof. Hermann Weyl, For. Mem. R.S.” Nature 177:457–458.

Dedekind, Richard. 1963. Essays on the Theory of Numbers, tr. Wooster Woodruff Beman. New York: Dover.

Deppert, W., ed. 1988. Exact Sciences and Their Philosophical Foundations. Frankfurt am Main: Peter Lang.

Diamond, H. G. 1982. “Elementary methods in the study of the distribution of prime numbers.” Bulletin of the American Mathematical Society 7:553-589.

Dick, Auguste. 1981. Emmy Noether 1882–1935, tr. H. I. Blocher. Boston: Birkhäuser.

Dieudonné, Jean. 1976. “Weyl, Hermann.” In Dictionary of Scientific Biography, ed. C. G. Gillispie, 14:281-285.

Du Bois-Reymond, Emil. 1907. Über die Grenzen des Naturerkennens. Die sieben Welträtsel. Leipzig: Veit.

————. 1974. Vorträge über Philosophie und Gesellschaft, ed. Siegfried Wollgast. Hamburg: Meiner.

Eckes, Christophe. 2011. “Groupes, invariants et géométries dans l’oeuvre de Weyl.” Ph.D. diss, University of Lyon.

Edward, Harold M. “Kronecker on the Foundations of Mathematics.” In Hintikka 1995, 45–52.

Ehlers, Jürgen. 1988. “Hermann Weyl’s Contribution to the General Theory of Relativity.” In Deppert 1988, 83–105.

Ehrenfest, Paul. 1918. “In What Way Does It Become Manifest in the Fundamental Laws of Physics that Space Has Three Dimensions?” Proceedings of the Royal Academy of Amsterdam 20:200–209.

————. 1920. “Welche Rolle spielt die Dreidimensionalität des Raumes in den Grundgesetzen der Physik?” Annalen der Physik, 366:440–446.

Einstein, Albert. 1987– . The Collected Papers of Albert Einstein. Princeton: Princeton University Press. [Note that the page references for the translations in the companion volumes for each volume of main text will be included in square brackets.]

Ellison, W. J. 1971. “Waring’s Problem.” American Mathematical Monthly 78:10-36.

Ewald, William, ed. 1996. From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Oxford: Clarendon Press.

Feferman, Solomon. 1998. In the Light of Logic. New York: Oxford University Press.

————. 2000. “The significance of Weyl’s Das Kontinuum.” In Hendricks 2000, 179–194.

Feist, R. 2002. “Weyl’s Appropriation of Husserl’s and Poincaré’s Thoughts.” Synthèse 132:273–301.

Ferrierós, J. and J. J. Gray, eds. 2006. The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford: Oxford University Press.

Fogel, D. Brandon. 2008. “Epistemology of a Theory of Everything: Weyl, Einstein, and the Unification of Physics.” Ph.D. diss., University of Notre Dame.

Forman, Paul. 1971. “Weimar Culture, Causality, and Quantum Theory 1918– 1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment.” Historical Studies in the Physical Sciences 3:1– 116.

Frei, Gunther and Urs Stammbach. 1992. Hermann Weyl und die Mathematik an der ETH Zürich, 1923–1930. Basel: Birkhäuser.

Friedman, Michael. 1995. “Carnap and Weyl on the Foundations of Geometry and Relativity Theory.” Erkenntnis 42:247–260.

————. 2001. Foundations of Space-Time Theories: Relativistic Physics and Philosophy of Science. Princeton: Princeton University Press.

Galilei, Galileo. 1957. Discoveries and Opinions of Galileo, tr. Stillman Drake. New York: Doubleday.

————. 1974. Two New Sciences, tr. Stillman Drake. Madison, Wisc.: University of Wisconsin Press.

Gavroglu, Kostas, Jean Christianidis, and Efthymios Nicolaidis, eds. 1994. Trends in the Historiography of Science. Dordrecht: Kluwer Academic.

Gavroglu, Kostas and Jürgen Renn, eds. 2007. Positioning the History of Science. Dordrecht: Springer.

Gel’fond, A. O. 1960. Transcendental and Algebraic Numbers, tr. Leo F. Boron. New York: Dover.

Gentzen, Gerhard. 1969. The Collected Works of Gerhard Gentzen, ed. M. E. Szabo. Amsterdam: North-Holland.

Giere, Ronald N. and Alan W. Richardson, eds. 1996. Origins of Logical Empiricism. Minnesota Studies in the Philosophy of Science, volume XVI. Minneapolis: University of Minnesota Press.

Goldfeld, Dorian. 2003. “The Elementary Proof of the Prime Number Theorem: An Historical Perspective.” Number Theory: New York Seminar: 179192.

Gouvêa, Fernando Q. 1997. p -adic Numbers: An Introduction. 2nd ed. Berlin: Springer.

Gowers, Timothy, June Barrow-Green, and Imre Leader, eds. 2008. The Princeton Companion to Mathematics. Princeton: Princeton University Press.

Grattan-Guinness, Ivor, ed. 2005. Landmark Writings in Western Mathematics, 1640–1940. Amsterdam: Elsevier.

Gray, Jeremy. 1999a. “Geometry — Formalisms and Intuitions.” In Gray 1999b, 58–83.

————, ed. 1999b. The Symbolic Universe: Geometry and Physics 1890–1930. Oxford: Oxford University Press.

————. 2000. The Hilbert Challenge. Oxford: Oxford University Press.

————. 2005. “Felix Klein’s Erlangen Program, ‘Comparative Considerations of Recent Geometrical Researches’ (1872),” in Grattan-Guiness 2005b, 544– 552.

————. 2008. Plato’s Ghost: The Modernist Transformation in Mathematics. Princeton: Princeton University Press.

Hasse, Helmut. 1954. Higher Algebra, tr. Theodore J. Benac. New York: F. Ungar Publishing Co.

Hawkins, Thomas. 1999. “Weyl and the Topology of Continuous Groups.” In James 1999, 169–198.

————. 2000. Emergence of the Theory of Lie Groups. An Essay in the History of Mathematics 1869–1926. Berlin: Springer.

Helmholtz, Hermann von. 1883. Wissenschaftliche Abhandlungen. Leipzig: Johann Ambrosius Barth.

————. 1968. Über Geometrie. Darmstadt: Wissenschaftliche Buchgesellschaft.

————. 1971. Selected Writings of Hermann von Helmholtz, ed. Russell Kahl. Middletown, CT: Wesleyan University Press.

————. 1977. Epistemological Writings, translated by Malcolm F. Lowe, ed. Robert S. Cohen and Yehuda Elkana. Dordrecht: D. Reidel.

Hendricks, Vincent F., Stigandur Pedersen, and Klaus F. Jørgensen, eds. 2000. Proof Theory: History and Philosophical Significance. Dordrecht: Kluwer.

Hesseling, Dennis. 2003. Gnomes in the Fog. The Reception of Brouwer’s Intuitionism in the 1920s. Basel: Birkhäuser.

Hilbert, David. 1932–1935. Gesammelte Abhandlungen. Berlin: J. Springer.

————. 1953. Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen. New York: Chelsea Publishing.

————. 1971. Foundations of Geometry, tr. Leo Unger, rev. ed. Paul Bernays. La Salle, Il.: Open Court.

————. 1998. The Theory of Algebraic Number Fields, tr. Franz Lemmermeyer and Norbert Schappacher. Berlin: Springer-Verlag.

Hilbert, David and W. Ackermann. 1950. Principles of Mathematical Logic. New York: Chelsea.

Hilbert, David and Paul Bernays. 1968–1970. Grundlagen der Mathematik. Berlin: Springer.

Hilbert, David and Stephen Cohn-Vossen. 1999. Geometry and the Imagination, tr. P. Nemenyi. New York: Chelsea AMS.

Hintikka, Jaakko, ed. 1995. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics. Dordrecht: Kluwer Academic.

Its, A. R. 2003. “The Riemann-Hilbert Problem and Integrable Systems.” Notices of the American Mathematical Society 50:1389–1400.

James, I. M., ed. 1999. History of Topology. Amsterdam: Elsevier.

Kasner, Edward and James Newman. 1940. Mathematics and the Imagination. New York: Simon & Schuster. Reprinted 2001. Mineola, NY: Dover.

Kastrup, H. A. 2008. “On the Advancements of Conformal Transformations and their Associated Symmetries in Geometry and Theoretical Physics.” Annalen der Physik 17:631–690.

Kleene, Stephen Cole. 1967. Mathematical Logic. New York: Wiley.

Klein, Felix. 1921–1923. Gesammelte mathematische Abhandlungen. Berlin: Springer.

————. 1939. Elementary Mathematics from an Advanced Standpoint, tr. E. R. Hedrick and C. A. Noble. New York: Dover.

————. 1956. Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree, tr. George Gavin. New York: Dover.

————. 1979. Development of Mathematics in the Nineteenth Century, tr. M. Ackerman. Brookline, Mass.: Math Sci Press.

Klein, Jacob. 1985. Lectures and Essays, ed. Robert B. Williamson and Elliott Zuckerman. Annapolis, Md.: St. John’s College Press.

————. 1992. Greek Mathematical Thought and the Origin of Algebra, tr. Eva Brann. New York: Dover.

Kleiner, Israel. 2007. A History of Abstract Algebra. Boston: Birkhäuser.

Kosmann-Schwarzbach, Yvette. 2004. Les théorèmes de Noether: invariance et lois de conservations au XXe siècle. Palaisseau: Éditions de l’École polytechnique.

Lämmerzahl, Claus and Alfredo Macias. 1993. “On the Dimensionality of Space-Time.” Journal of Mathematical Physics 34:4540–4553.

Laugwitz, Detlef. 1958. “Über eine Vermutung von Hermann Weyl zum Raum-problem.” Archiv der Mathematik 9:128–133.

Lefschetz, Solomon. 1956. Topology. New York: Chelsea Publishing.

Leupold, R. 1960. “Die Grundlagenforschung bei Hermann Weyl.” Ph.D. diss., Universität Mainz.

Lützen, J., ed. 2006. The Interaction between Mathematics, Physics and Philosophy from 1850 to 1940. Dordrecht: Springer.

Mackey, George. 1988. “Hermnann Weyl and the application of group theory to quantum mechanics.”. In Deppert 1988, 131–160.

Mancosu, Paolo. 1998. From Brouwer to Hilbert. The Debate on the Foundations of Mathematics in the 1920s. Oxford: Oxford University Press.

————. 2011. The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900–1940. Oxford: Oxford University Press.

Martin, Christopher A. 2003. “On Continuous Symmetries and the Foundations of Modern Physics.” In Brading and Castellani 2003, 29–60.

McClarty, Colin. 2006. “Emmy Noether’s ‘Set Theoretic’ Topology: From Dedekind to the Rise of Functors.” In Ferreirós and Gray 2006, 187–208.

Mielke, Eckehard W. and Friedrich W. Hehl. 1988. “Die Entwicklung der Eichtheorien: Marginalien zu deren Wissenschaftsgeschichte.” In Deppert 1988, 191–230.

Millennial Conference on Number Theory. 2002. Number Theory for the Millennium. Natick, Mass.: A. K. Peters.

Minkowski, Hermann. 1968. Geometrie der Zahlen. New York: Johnson Reprint.

Narkiewicz, W ladis law. 1988. “Hermann Weyl and the Theory of Numbers.” In Deppert 1988, 51–60.

Nelson, William and Mairi Sakellariadou. 2009. “SpaceTime Dimensionality from Brane Collisions.” Physics Letters B 674:210-212.

Newman, H. and T. Ypsilantis, eds. 1996. History of Original Ideas and Basic Discoveries in Particle Physics. New York: Plenum.

Newman, M. H. A. 1957. “Hermann Weyl, 1885–1955.” Biographical Memoirs of Fellows of the Royal Society London 3:305–328.

O’Raifeartaigh, Lochlainn, ed. 1997. The Dawning of Gauge Theory. Princeton: Princeton University Press.

O’Raifeartaigh, Lochlainn and Norbert Straumann. 2000. “Gauge Theory: Historical Origins and Some Modern Developments.” Reviews of Modern Physics 72:1–23.

Pais, Abraham. 1982. ‘Subtle is the Lord . . .’: The Science and the Life of Albert Einstein. Oxford: Oxford University Press.

————. 1986. Inward Bound. Oxford: Oxford University Press.

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Penrose, Roger. 1986. “Hermann Weyl, Space-Time, and Conformal Geometry.” In Chandrasekharan 1986, 23–52.

Pesic, Peter. 1997. “Secrets, Symbols, and Systems: Parallels Between Cryptanalysis and Algebra, 1580-1700.” Isis 88:674-692.

————. 2002. Seeing Double: Shared Identities in Physics, Philosophy, and Literature. Cambridge, Mass.: MIT Press.

————. 2003. Abel’s Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability. Cambridge, Mass.: MIT Press.

————, ed. 2007 Beyond Geometry: Classic Papers from Riemann to Einstein. Mineola, NY: Dover.

————. 2012. “Helmholtz, Riemann, and the Sirens: Sound, Color, and the Problem of Space.” (unpublished essay)

Pesic, Peter and Stephen P. Boughn. 2003. “The Weyl-Cartan Theorem and the Naturalness of General Relativity,” European Journal of Physics 24:261– 266.

Pontrjagin, L. S. 1946. Topological Groups, tr. Emma Lehmer. Princeton: Princeton University Press.

Pound, R. V. and G. A. Rebka Jr. 1959. “Gravitational Red-Shift in Nuclear Resonance.” Physical Review Letters 3:439-441.

Reale, Giovanni. 1990. A History of Ancient Philosophy: Plato and Aristotle. Albany: State University of New York Press.

Redhead, Michael. 2003. “The Interpretation of Gauge Symmetry.” In Brading and Castellani 2003, 124–139.

Reich, Karin. 1992. “Levi-Civitasche Parallelverschiebung, affiner zusammen-hang, Übertragungsprinzip: 1916/17–1922/23.” Archive for History of Exact Science 44:77–105.

Reid, Constance. 1996. Hilbert. New York: Copernicus.

Ria, D. 2005. L’unità fisico-matematica nel pensiero epistemologico di Hermann Weyl. Lecce: Congedo Editore.

Riemann, Bernhard. 1919. Über die Hypothesen, welche der Geometrie zu Grunde ligen, ed. Hermann Weyl. Berlin: Springer (Reprint, 1923).

————. 1990. Gesammelte mathematische Werke, wissenschaftlicher Nach-lass, und Nachträge, ed. Raghavan Narasimhan after the edition by Heinrich Weber and Richard Dedekind. Berlin: Springer-Verlag.

Roquette, Peter. 2005. The Brauer-Hasse-Noether Theorem in Historical Perspective. Berlin: Springer.

————. 2008. “Emmy Noether and Hermann Weyl.” In Tent 2006, 285–326.

Rowe, David E. 1985. “Felix Klein’s ‘Erlanger Antrittsrede’: A Transcription with English Translation and Commentary.” Historia Mathematics 12:123– 141.

————. 1992. “Klein, Lie, and the ‘Erlanger Programm’.” In Boi, Flament, and Salaskis 1992, 45–54.

————. 1994. “The Philosophical Views of Klein and Hilbert.” In Chikara et al. 1994, 187–202.

————. 1999. “The Göttingen Response to General Relativity and Emmy Noether’s Theorem.” In Gray 1999b, 189–223.

Rupke, Nicolaas, ed. 2002. Göttingen and the Development of the Natural Sciences. Göttingen: Wallstein Verlag.

Ryckman, Thomas A. 1996. “Einstein Agonists: Weyl and Reichenbach on Geometry and the General Theory of Relativity.” In Giere and Richardson 1996, 165–209.

————. 2003. “The Philosophical Roots of the Gauge Principle: Weyl and Transcendental Phenomenological Idealism.” In Brading and Castellani 2003, 61–88.

————. 2007. The Reign of Relativity: Philosophy in Physics 1915–1925. New York: Oxford University Press.

Sauer, Tilmann. 1999. “The Relativity of Discovery.” Archive for History of Exact Sciences 53:529–575.

Scheibe, Erhard. 1988. “Hermann Weyl and the Nature of Spacetime.” In Deppert 1988, 61–82.

Schilpp, Paul Arthur, ed. 1951. The Philosophy of Bertrand Russell, 3d ed. New York: Tudor.

Schlick, Moritz. 1963. Space and Time in Contemporary Physics: An Introduction to the Theory of Relativity and Gravitation, tr. H. L. Brose. New York: Dover.

Scholz, Erhard. 1980. Geschichte des Mannigfaltigkeitsbegriff von Riemann bis Poincaré. Basel: Birkhäuser.

————. 1994. “Hermann Weyl’s Contributions to Geometry, 1917–1923.” In Chikara et al. 1994, 203–230.

————. 1995. “Hermann Weyl’s ‘Purely Infinitesimal Geometry’.” In Chat-terji 1995, 1592–1603.

————. 1999a. “Weyl and the Theory of Connections.” In Gray 1999b, 260– 284.

————. 1999b. “The Concept of Manifold, 1850–1950.” In James 1999, 25–64.

————. 2000. “Hermann Weyl on the Concept of Continuum.” In Hendricks et al. 2000, 195–217.

————, ed. 2001a. Hermann Weyl’s Raum-Zeit-Materie and a General Introduction to His Scientific Work. Basel: Birkhäuser.

————. 2001b. “Weyls Infinitesimalgeometrie, 1917–1925.” In Scholz 2001a, 48–104.

————. 2004. “Hermann Weyl’s Analysis of the ‘Problem of Space’ and the Origin of Gauge Structures.” Science in Context 17:165–197.

————. 2005. “Philosophy as a Cultural Resource and Medium of Reflection for Hermann Weyl.” Revue de synthèse 126:331–351.

————. 2006a. “Practice-Related Symbolic Realism in H. Weyl’s Mature View of Mathematical Knowledge.” In Ferreirós and Gray 2006, 291–310.

————. 2006b. “Introducing Groups into Quantum Theory (1926–1930).” Historia Mathematica 33:440–490.

————. 2006c. “The Changing Concept of Matter in H. Weyls Thought, 1918–1930.” In Lützen 2006, 281–305.

————. 2009. “A. Einstein and H. Weyl: Intertwining Paths and Mutual Inuences.” In Alunni et al. 2009, 215–230.

————. 2011a. “H. Weyl’s and E. Cartan’s Proposals for Infinitesimal Geometry in the Early 1920s.” Boletim da Sociedada Portuguesa de Matemática Número Especial A. da Mira Fernandes, 225–245.

————. 2011b. “Mathematische Physik bei Hermann Weyl — zwischen ‘Hegelscher Physik und ‘symbolischer Konstruktion der Wirklichkeit.” In Schlote and Schneider 2011, 183–212.

Schlote, K.-H., M. Schneider, eds. 2011. Mathematics Meets Physics: A Contribution to Their Interaction in the 19th and the First Half of the 20th Century. Frankfurt: Harri Deutsch Verlag.

Schwinger, Julian. 1988. “Hermann Weyl and Quantum Kinematics.” In Deppert 1988, 107–129.

Shapiro, Stewarrt, ed. 2005. The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford: Oxford University Press.

Shenitzer, Abe and John Stillwell, eds. 2002. Mathematical Evolutions. Washington, D.C.: Mathematical Association of America.

Sieroka, Norman. 2007. “Weyl’s ‘Agens Theory’ of Matter and the Zurich Fichte.” Studies in the History and Philosophy of Science 38:84–107.

————. 2009. “Husserlian and Fichtean Leanings: Weyl on Logicism, Intuitionism, and Formalism.” Philosophia Scientiae 13:85–96.

————. 2010. Umgebunden: symbolischer Konstruktivismus im Anschluss an Hermann Weyl und Fritz Medicus. Zürich: Chronos.

————. 2012. “Hermann Weyl und Fritz Medicus: Die Zürcher Fichte-Interpretation in Mathematik und Physik um 1920.” Fichte-Studien 36:129– 143.

Sigurdsson, Skúli. 1991. “Hermann Weyl, Mathematics and Physics, 1900–1927.” Ph.D. diss., Harvard University.

————. 1994. “Unification, Geometry and Ambivalence: Hilbert, Weyl and the Göttingen Community.” In Gavroglu et al. 1994, 355–367.

————. 1996. “Physics, Life, and Contingency: Born, Schrödinger, and Weyl in Exile.” In Ash and Söllner 1996, 48–70.

————. 2001. “Journeys in Spacetime.” In Scholz 2001c, 15–47.

————. 2007. “On the Road.” In Gavroglu and Renn 2007, 149–157.

Slodowy, Peter. 1999. “The Early Development of the Representation Theory of Semisimple Lie Groups: A. Hurwitz, I. Schur, H. Weyl.” Jahresbericht der Deutschen Matehematiker-Vereinigung 101:97–115.

Speiser, David. 1988. “Gruppentheorie und Quantenmechanik: The Book and its Position in Weyl’s Work.” In Deppert 1988, 161–189.

Straumann, Norman. 2001. “Ursprünge der Eichtheorien.” In Scholz 2001c, 138–160.

Suppes, Patrick, ed. 1973. Space, Time, and Geometry. Dordrecht: D. Reidel.

Tavel, M. A. 1971. “Noether’s Theorem.” Transport Theory and Statistical Physics 1:183–207.

Tegmark, Max. 1997. “On the dimensionality of spacetime.” Classical and Quantum Gravity 14:L69-L75.

Tent, Katrin, ed. 2008. Groups and Analysis: The Legacy of Hermann Weyl. Cambridge: Cambridge University Press.

Tieszen, Richard. 2005. Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge: Cambridge University Press.

Toader, Iulian D. 2011. “Objectivity Sans Intelligibility: Hermann Weyl’s Symbolic Constructivism.” Ph.D. diss., University of Notre Dame.

Tobies, Renate. 1981. Felix Klein. Leipzig: Teubner.

————. 2002. “The Development of Göttingen into the Prussian Centre of Mathematics and the Exact Sciences.” In Ruppert 2002, 116–142.

Tonietti, Tino. 1988. “Four Letters of E. Husserl to H. Weyl and their Context.” In Deppert 1988, 343–384.

Van Atten, Mark. 2007. Brouwer Meets Husserl: On the Phenomenology of Choice Sequences. Dordrecht: Springer.

Van Atten, Mark, Dirk van Dalen, and Richard Tieszen. 2002. “The Phenomenology and Mathematics of the Intuitive Continuum.” Philosophia Mathematica 10:203–226.

Van Dalen, Dirk. 1984. “Four Letters from Edmund Husserl to Hermann Weyl.” Husserl Studies 1:1–12.

————. 1995. “Hermann Weyl’s Intuitionistic Mathematics.” Bulletin of Symbolic Logic 1:145–169.

————. 1999, 2005. Mystic, Geometer, and Intuitionist. The Life of L. E. J. Brouwer. Oxford: Oxford University Press.

————. 2000. “Brouwer and Weyl on proof theory and philosophy of mathematics.” In Hendricks et al. 2000, 117–152.

————. 2006. “The Genesis of Mathematical Objects, following Weyl and Brouwer.” La Nuova Critica 48:5–18.

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Veblen, Oswald. 1931. Analysis Situs. New York: American Mathematical Society.

Veblen, Oscar and Alfred North Whitehead. 1932. The Foundations of Differential Geometry. Cambridge: Cambridge University Press.

Vizgin, Vladimir. 1994. Unified Field Theories in the First Third of the 20th Century, tr. J. B. Barbour. Basel: Birkhäuser.

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————. 1975. “On the Sources of My Book, Moderne Algebra.” Historia Mathematica 2:31–40.

————. 1985. A History of Algebra: From al-Khwārizmī to Emmy Noether. Berlin: Springer-Verlag.

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Weyl, Hermann. 1913. Die Idee der Riemannschen Fläche. Leipzig: Teubner. (Translation, Weyl 2009c)

————. 1918a. Das Kontinuum. Kritische Untersuchungen über die Grundlagen der Analysis. Leipzig: Veit. (Translation, Weyl 1994)

————. 1918b. Raum-Zeit-Materie. Berlin: Springer. (Translation, Weyl 1952a)

————. 1918c. “Gravitation und Elektrizität.” Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin 465–480; WGA 2:29–42. (Translations in Lorentz et al. 1923, 200–216; O’Raifeartaigh 1997, 24–37.)

————. 1918d. “Reine Infinitesimalgeometrie.” Mathematische Zeitschrift 2:384–411; WGA 2:1–28.

————. 1919a. Erläuterungen in seiner Herausgabe von Riemann: Hypothesen, welche der Geometrie zugrunde liegen. Berlin: Springer 1919. (Included in Riemann 1990, 740–769.)

————. 1919b. Raum Zeit Materie. 3rd ed. Berlin: Springer.

————. 1920a. “Elektrizität und Gravitation.” Physikalische Zeitschrift 21:649–650; WGA 2:141–142.

————. 1920b. “Das Verhältnis der kausalen zur statistischen Betrachtungsweise in der Physik.” Schweizer Medizinische Wochenschrift; WGA 2:113– 122.

————. 1921a. “Electricity and Gravitation.” Nature 106:800–802; WGA 2:260–262.

————. 1921b. “Uber die neue Grundlagenkrise der Mathematik.” Mathematische Zeitschrift 10:39–79; WGA 2:143–180. (Translation in Mancosu 1998, 86–121)

————. 1923. Mathematische Analyse des Raumproblems. Vorlesungen gehalten in Barcelona und Madrid. Berlin: Springer. (Reprint, 1963)

————. 1927. Philosophie der Mathematik und Naturwissenschaft, Handbuch der Philosophie, Abt. 2A. München: Oldenbourg. (Translation in Weyl 1949, 2nd ed. 1966; new edition 2009b).

————. 1928. Gruppentheorie und Quantenmechanik. Leipzig: Hirzel. (Translation in Weyl 1950)

————. 1929a. “Gravitation and the Electron.” Proceedings of the National Academy of Sciences 15:323–334; WGA 3:217–228.

————. 1929b. “Elektron und Gravitation.” Zeitschrift für Physik 56:350-352; WGA 3:245–267.

————. 1931. Die Stufen des Unendlichen. Jena: Gustav Fischer.

————. 1935. “Emmy Noether 1882–1935.” Scripta mathematica 3:201–220; WGA 3:425–444.

————. 1939a. The Classical Groups, Their Invariants and Representations. 2nd ed. 1946. Princeton: University Press.

————. 1939b. “Invariants.” Duke Mathematical Journal 5:489–502; WGA 3:670–683.

————. 1940. “The Mathematical Way of Thinking,” Science 92:437–446; WGA 3:710–718 (which prints a garbled text).

————. 1944a. “Obituary: David Hilbert (1862–1943).” Obituary Notices of Fellows of the Royal Society 4:547–553; WGA 4:121–129.

————. 1944b. “David Hilbert and his Mathematical Work.” Bulletin of the American Mathematical Society 50:612–654; WGA 4:130–172.

————. 1946a. “Mathematics and Logic: A brief survey serving as a preface to a review of The Philosophy of Bertrand Russell,” American Mathematical Monthly 53:2–13; WGA 4:268–279.

————. 1946b. “Review: The Philosophy of Bertrand Russell,” American Mathematical Monthly, 53:208–214; WGA 4:599–608.

————. 1949a. Philosophy of Mathematics and Natural Science, tr. Olaf Helmer. Princeton: Princeton University Press. (2nd ed., 1966; new edition 2009b)

————. 1949b. “Relativity Theory as a Stimulus in Mathematical Research.” Proceedings of the American Philosophical Society 93:35-541; WGA 4:394– 400.

————. 1950. The Theory of Groups and Quantum Mechanics, tr. H. P. Robertson. New York: Dover.

————. 1951. “A Half-Century of Mathematics.” American Mathematical Monthly 58:523–553; WGA 4:464–494.

————. 1952a. Space-Time-Matter. 4th German ed., tr. Henry L. Brose. New York: Dover.

————. 1952b. Symmetry. Princeton: Princeton University Press. (Reprint, 1980).

————. 1953a. “Über den Symbolismus der Mathematik und mathematischen Physik.” Studium generale 6:219–228; WGA 4:527–536.

————. 1953b. “Universities and Science in Germany.” The Mathematics Student (Madras, India) 21:1–26; WGA 4:537–562.

————. 1955. Selecta. Basel: Birkhäuser.

————. 1968. Gesammelte Abhandlungen, ed. K. Chandrasekharan. Berlin: Springer. Cited as WGA.

————. 1977. Mathematische Analyse des Raumproblems/Was ist Materie? Darmstadt: Wissenschaftliche Buchgesellschaft.

————. 1985. “Axiomatic Versus Constructive Procedures in Mathematics,” ed. Tito Tonietti. Mathematical Intelligencer 7:10–17, 38.

————. 1988. Riemanns geometrische Ideen, ihre Auswirkung und ihre Verknüpfung mit der Gruppentheorie (1925), ed. K. Chandrasekharan. Berlin: Springer-Verlag.

————. 1994. The Continuum, tr. S. Pollard and T. Bole. New York: Dover.

————. 1995. “Topology and Abstract Algebra as Two Roads of Mathematical Comprehension,” tr. Abe Shenitzer. American Mathematical Monthly 102:453–460, 646–651.

————. 1997. The Classical Groups: Their Invariants and Representations. Princeton: Princeton University Press.

————. 2009a. Mind and Nature: Selected Writings on Philosophy, Mathematics, and Physics, ed. Peter Pesic. Princeton: Princeton University Press.

————. 2009b. Philosophy of Mathematics and Natural Science, tr. Olaf Helmer. Princeton: Princeton University Press. (2nd ed., 1966; new edition with an introduction by Frank Wilczek)

————. 2009c. The Concept of a Riemann Surface, tr. Gerald R. Maclane. 3rd ed. Mineola, NY: Dover.

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