Linked bibliography for the SEP article "Dedekind’s Contributions to the Foundations of Mathematics" by Erich Reck

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Primary Literature (German Editions, English Translations)

Works listed in this section are by Richard Dedekind, unless otherwise specified.

1854 “Über die Einführung neuer Funktionen in der Mathematik; Habilitationsvortrag”; in Dedekind (1930–32), Vol. 3, pp. 428–438.
1857 “Abriß einer Theorie der höheren Kongruenzen in bezug auf einen reellen Primzahl-Modulus”; reprinted in Dedekind (1930–32), Vol. 1, pp. 40–67.
1863 Dirichlet, P.G.L., Vorlesungen über Zahlentheorie, first edition, edited by R. Dedekind; Braunschweig: Vieweg.
1871 Dirichlet, P.G.L., Vorlesungen über Zahlentheorie, second edition, edited and with supplements by R. Dedekind; Braunschweig: Vieweg.
1872 Stetigkeit und irrationale Zahlen, Braunschweig: Vieweg (originally published as a separate booklet); reprinted in Dedekind (1930–32), Vol. 3, pp. 315–334, in Dedekind (1965), pp. 1–22, and in Dedekind (2017), pp. 111–132; English trans., Dedekind (1901b).
1876a “Bernhard Riemanns Lebenslauf”, in Riemann (1876), pp. 539–558.
1876b “Briefe an Lipschitz (1–2)”, in Dedekind (1930–32), Vol. 3, pp. 468–479.
1876c Riemann, Bernard, Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass, H. Weber, ed., with assistance by R. Dedekind; second edition (revised) 1892, with a supplement added in 1902; reprinted by New York: Dover, 1953.
1877 Sur la Théorie des Nombres Entiers Algébrique, Paris: Gauthier-Villars; reprinted in Dedekind (1930–32), Vol. 3, pp. 262–296; English trans. Dedekind (1996b).
1879 Dirichlet, P.G.L., Vorlesungen über Zahlentheorie, third edition, edited and with additional supplements by R. Dedekind; Braunschweig: Vieweg; reprinted by Cambridge University Press, 2013.
1882 “Theorie der algebraischen Funktionen einer Veränderlichen”, with H. Weber; reprinted in Dedekind (1930–32), Vol. 1, pp. 238–350; English trans. Dedekind (2012).
1888a Was sind und was sollen die Zahlen?, Braunschweig: Vieweg (originally published as a separate booklet); reprinted in Dedekind (1930–32), Vol. 3, pp. 335–91, in Dedekind (1965), pp. III–XI and 1–47, and in Dedekind (2017), pp. 53–109; English trans., (Dedekind 1901c) and (revised) Dedekind (1995).
1888b “Brief an Weber”, in Dedekind (1930–32), Vol. 3, pp. 488–490.
1890 “Letter to Keferstein”, in Van Heijenoort (1967), pp. 98–103; German original, with editorial introduction, in Scheel et al. (2017), pp. 205–211.
1893 Dirichlet, P.G.L., Vorlesungen über Zahlentheorie, fourth edition, edited and with yet further supplements by R. Dedekind; Braunschweig: Vieweg; reprinted by Chelsea: New York, 1968.
1897 “Über Zerlegungen von Zahlen durch ihre größten gemeinsamen Teiler”; reprinted in Dedekind (1930–32), Vol. 2, pp. 103–147.
1900 “Über die von drei Moduln erzeugte Dualgruppe”; reprinted in Dedekind (1930–32), Vol. II, pp. 236–271.
1901a Essays on the Theory of Numbers, W.W. Beman, ed. and trans., Chicago: Open Court Publishing Company, 1901; reprinted by New York: Dover, 1963; English version of Dedekind (1965); essays also included in Ewald (1996a), pp. 756–779 and 787–833, and in Hawking (2005a), pp. 901–964.
1901b “Continuity and Irrational Numbers”, in (Dedekind 1901a), pp. 1–27; English trans. of Dedekind (1872).
1901c “The Nature and Meaning of Numbers”, in (Dedekind 1901a), pp. 29–115; English trans. of Dedekind (1888a).
1930–32 Gesammelte Mathematische Werke, Vols. 1–3, R. Fricke, E. Noether & Ö. Ore, eds., Braunschweig: Vieweg; reprinted (except for the separately published Dedekind 1964) by New York: Chelsea Publishing Company, 1969.
1937 Noether, E. & Cavaillès, J., eds., Briefwechsel Cantor-Dedekind, Paris: Hermann.
1964 Über die Theorie der ganzen algebraischen Zahlen. Nachdruck des elften Supplements (from Dirichlet 1893), with a preface by B. L. van der Waerden, Braunschweig: Vieweg.
1965 Was sind und was sollen die Zahlen?/Stetigkeit und irrationale Zahlen. Studienausgabe, G. Asser, ed., Braunschweig: Vieweg; later German version of Dedekind (1901a).
1981 “Eine Vorlesung über Algebra”, in Scharlau (1981a), pp. 59–100.
1982 “Unveröffentlichte algebraische Arbeiten Richard Dedekinds aus seiner Göttinger Zeit, 1855–1858”, Archive for History of Exact Sciences 27:4, 335–367.
1985 Vorlesungen über Diffential- und Integralrechnung 1861/62, based on notes by H. Bechtold, M.-A. Knus & W. Scharlau, eds., Braunschweig: Vieweg.
1986 Lipschitz, Rudolf, Briefwechsel mit Cantor, Dedekind, Helmholtz, Kronecker, Weierstrass und anderen, W. Scharlau, ed., Braunschweig: Vieweg.
1991 Meschkowski, H. & Nilson, W., eds., Georg Cantor. Briefe, Berlin: Springer; especially “Die Periode des Briefwechsels mit Dedekind — die Entstehung der Mengenlehre”, pp. 29–66.
1995 What Are Numbers and What Should They Be? H. Pogorzelski, W. Ryan & W. Snyder, eds. and trans., Orono, ME: Research Institute for Mathematics; revised English trans. of Dedekind (1888).
1996a “Julius Wilhelm Richard Dedekind (1831–1916)”, in Ewald (1996a), Vol. 2, pp. 753–837; English trans. of various texts by Dedekind.
1996b Theory of Algebraic Integers, J. Stillwell, ed. and trans., Cambridge: Cambridge University Press; English trans. of Dedekind (1877).
1999 Dirichlet, P.G.L., Lectures on Number Theory, with supplements by Richard Dedekind, J. Stillwell, ed. and trans., Providence: American Mathematical Society; English trans. of Dirichlet (1893).
2008 Richard Dedekind: La création des nombres, H.B. Sinaceur, ed. and trans., Paris: Vrin; French trans. of various texts by Dedekind.
2012 Dedekind, R. & Weber, H., Theory of Algebraic Functions of One Variable, J. Stillwell, ed. and trans., Providence: American Mathematical Society; English trans. of Dedekind (1882).
2014 Scheel, Katrin, Der Briefwechsel Richard Dedekind-Heinrich Weber, T. Sonar & K. Reich, eds., Berlin: Walter de Gruyter.
2017 Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen, S. Müller-Stach, ed., Berlin: Springer.
2020 Scheel, Katrin: Dedekinds Theorie der ganzen algebraischen Zahlen. Die verlorene Neufassung des XI. Supplements zu Dirichlets Vorlesungen über Zahlentheorie, Berlin: Springer.

Secondary Literature (in English, French, and German)

  • Alten, H.-W., et al. (eds.), 2003, 4000 Jahre Algebra, Berlin: Springer; especially Chapter 9, “Algebra an der Wende zum 20. Jahrhundert”, by K.-H. Schlote et al., pp. 475–550. (Scholar)
  • Avigad, Jeremy, 2006, “Methodology and Metaphysics in the Development of Dedekind’s Theory of Ideals”, in The Architecture of Modern Mathematics, J. Ferreirós & J. Grey (eds.), Oxford: Oxford University Press, pp. 159–186. (Scholar)
  • Awodey, S. & Reck, E., 2002, “Categoricity and Completeness, Part I: Nineteenth-Century Axiomatics to Twentieth-Century Metalogic”, History and Philosophy of Logic, 23: 1–30. (Scholar)
  • Bell, E.T., 1937, Men of Mathematics; reprinted, New York: Simon & Schuster, 1965; especially Chapter 27, “Arithmetic the Second: Kummer (1810–1893), Dedekind (1831–1916)”, pp. 510–525. (Scholar)
  • Belna, Jean-Pierre, 1996, La Notion de nombre chez Dedekind, Cantor, Frege: Théories, conceptions, et philosophie, Paris: Vrin. (Scholar)
  • Benis-Sinaceur, Hourya, 2008, Richard Dedekind, la creation des nombres, Paris: Vrin (Scholar)
  • –––, 2015, “Is Dedekind a Logicist? Why Does Such a Question Arise?”, in Benis-Sinaceur, Panza & Sandu (2015), pp. 1–58. (Scholar)
  • –––, 2017, “Dedekind’s and Frege’s Views on Logic”, in Scheel et al. (2017), pp. 50–62. (Scholar)
  • Benis-Sinaceur, H., Panza, M. & Sandu, G. (eds.), 2015, Functions and Generality of Logic: Reflections on Dedekind’s and Frege’s Logicisms, Berlin: Springer. (Scholar)
  • Biermann, Kurt R., 1971, “Dedekind”, in Dictionary of Scientific Biography, Vol. 4, C.C. Gillespie (ed.), pp. 1–5. (Scholar)
  • Boolos, George, 1990, “The Standard of Equality of Numbers”, in Meaning and Method: Essays in Honor of Hilary Putnam, G. Boolos (ed.), pp. 261–277; reprinted in Logic, Logic, and Logic, Cambridge, MA: Harvard University Press, 1998, pp. 202–219. (Scholar)
  • Bordogna, Francesca, 1996, “Interpreting the Ideal: Embedding Ideal Numbers in the Mathematical Programs of Kummer, Dedekind, and Klein”, Max Planck Institute for the History of Science, Berlin. (Scholar)
  • Boyer, C. & Merzbach, U., 1991, A History of Mathematics, second edition (revised), Wiley & Sons: New York; especially Chapter 25, “Analysis”, pp. 553–574, and Chapter 26, “Algebra”, pp. 575–598. (Scholar)
  • Burris, Stanley, 1983, “Boolean Constructions”, in Universal Algebra and Lattice Theory, Proceedings, Puebla 1982 (Springer Lecture Notes: Volume 1004), Berlin: Springer, pp. 67–90. (Scholar)
  • Cassirer, Ernst, 1907, “Kant und die moderne Mathematik ”, Kant Studien 12, pp. 1–49; reprinted in Gesammelte Werke, Band 9, Hamburg: Meiner, 2001, pp. 37–82. (Scholar)
  • –––, 1910, Substanzbegriff und Funktionsbegriff, Berlin: Bruno Cassierer; English trans., Substance and Function: Chicago: Open Court, 1923. (Scholar)
  • Cooke, Roger, 2005, “Richard Dedekind, Stetigkeit und irrationale Zahlen (1872)”, Chapter 43 of Landmark Writings in Western Mathematics, 1640–1940, I. Grattan-Guinness (ed.), Amsterdam: Elsevier, pp. 553–563. (Scholar)
  • Corfield, David, 2003, Towards a Philosophy of Real Mathematics, Cambridge University Press; especially Chapter 8, “Beyond the Methodology of Mathematical Research Programmes”, pp. 175–203. (Scholar)
  • Corry, Leo, 2004, Modern Algebra and the Rise of Mathematical Structures, second edition (revised), Birkhäuser: Boston; especially Chapter 2: “Richard Dedekind: Numbers and Ideals”, pp. 66–136. (Scholar)
  • –––, 2015, A Brief History of Numbers, Oxford: Oxford University Press (Scholar)
  • –––, 2017, “Dedekind and Noether. Steht alles schon bei Dedekind? Ideals and Factorization between Dedekind and Noether”, in Scheel et al. (2017), pp. 134–159. (Scholar)
  • Demopoulos, W. & Clark, P., 2005, “The Logicism of Frege, Dedekind, and Russell”, in The Oxford Handbook of Philosophy of Mathematics and Logic, S. Shapiro (ed.), Oxford: Oxford University Press, pp. 166–202. (Scholar)
  • Detlefsen, Michael, 2011, “Dedekind against Intuition: Rigor, Scope, and the Motives of his Logicism”, in Logic and Knowledge, C. Cellucci et al. (eds.), Cambridge: Cambridge Scholars Publishing, pp. 205–217 (Scholar)
  • Dieudonné, Jean (ed.), 1985, Geschichte der Mathematik 1700–1900, Berlin: Deutscher Verlag der Wissenschaften, 1985; especially Chapter 5, “Zahlentheorie”, by W. & F. Ellison, pp. 171–358, and Chapter 6, “Grundlagen der Analysis”, by P. Dugac, pp. 359–421; originally published in French, 1978. (Scholar)
  • Dugac, Pierre, 1976, Richard Dedekind et les fondements des mathématiques, Paris: Vrin; with selections from Dedekind’s Nachlass. (Scholar)
  • Dummett, Michael, 1995, Frege: Philosophy of Mathematics, Cambridge, MA: Harvard University Press. (Scholar)
  • Edwards, Harold M., 1977, Fermat’s Last Theorem. A Genetic Introduction to Algebraic Number Theory, New York: Springer. (Scholar)
  • –––, 1980, “The Genesis of Ideal Theory”, Archive for History of Exact Sciences, 23: 321–378. (Scholar)
  • –––, 1983, “Dedekind’s Invention of Ideals”, Bulletin of the London Mathematical Society, 15: 8–17. (Scholar)
  • –––, 1990, Divisor Theory, Boston: Birkhäuser. (Scholar)
  • Ewald, William B. (ed.), 1996a, From Kant to Hilbert. A Source Book in the Foundations of Mathematics, Vols. 1–2, Oxford: Oxford University Press. (Scholar)
  • –––, 1996b, Editor’s introduction to Dedekind (1996a), pp. 753–754. (Scholar)
  • Feferman, S. & Hellman, G., 1995, “Foundations of Predicative Arithmetic”, in Philosophical Logic, 24: 1–17. (Scholar)
  • Ferreirós, José, 1993, “On the Relation between Georg Cantor and Richard Dedekind”, Historia Mathematica, 20: 343–363. (Scholar)
  • –––, 1995, “‘What Fermented in Me for Years’: Cantor’s Discovery of Transfinite Numbers”, Historia Mathematica, 22: 33–42. (Scholar)
  • –––, 1996, “Traditional Logic and the Early History of Set Theory, 1854–1908”, Archive for History of Exact Sciences, 50: 5–71. (Scholar)
  • –––, 1999, Labyrinth of Thought: A History of Set Theory and its Role in Modern Mathematics, Boston: Birkhäuser; especially: Chapter 3, “Dedekind and the Set-theoretic Approach to Algebra”, pp. 81–116; Chapter 4, “The Real Number System”, pp. 117–144; and Chapter 7, “Sets and Maps as a Foundation for Mathematics”, pp. 215–255; second edition (with added postscript), 2007. (Scholar)
  • –––, 2005, “Richard Dedekind (1888) and Giuseppe Peano (1889), Booklets on the Foundations of Arithmetic”, Chapter 47 of Landmark Writings in Western Mathematics, 1640–1940, I. Grattan-Guinness (ed.), Amsterdam: Elsevier, pp. 613–626. (Scholar)
  • –––, 2007, “The Rise of Pure Mathematics, as Arithmetic in Gauss”, in The Shaping of Arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae, C. Goldstein, N. Schappacher & J. Schwermer (eds.), Berlin: Springer, pp. 235–268. (Scholar)
  • –––, 2009, “Hilbert, Logicism, and Mathematical Existence”, Synthese, 170: 33–70. (Scholar)
  • –––, 2016, “The Early Development of Set Theory”, Stanford Encyclopedia of Philosophy (Fall 2016 Edition), Edward N. Zalta (ed.), URL = <>. (Scholar)
  • –––, 2017a, “Dedekind’s Map-Theoretic Period”, Philosophia Mathematica, 25(3): 318–340. (Scholar)
  • –––, 2017b, “The Role of Abbildungen in Frege’s Late Work”, in Scheel et al. (2017), pp. 160–173. (Scholar)
  • –––, forthcoming, “On Dedekind’s Logicism”, in Analytic Philosophy and the Foundations of Mathematics, A. Arana & C. Alvarez (eds.), London: Palgrave. (Scholar)
  • Ferreirós, J. & Reck, E., 2020, “Dedekind’s Mathematical Structuralism: From Galois theory to Numbers, Sets, and Functions”, in Reck & Schiemer (2020), pp. 59–87. (Scholar)
  • Floyd, Juliet, 2013, “The Varieties of Rigorous Experience”, in The Oxford Handbook of the History of Analytic Philosophy, M. Beaney (ed.), Oxford: Oxford University Press, pp. 1003–1042. (Scholar)
  • Gardies, Jean-Louis, 1984, “Eudoxe et Dedekind”, Revue d’histoire des sciences, 37: 111–125. (Scholar)
  • Geyer, Wulf-Dieter, 1981, “Die Theorie der algebraischen Funktionen einer Veränderlichen nach Dedekind und Weber”, in Scharlau (1981a), pp. 109–133. (Scholar)
  • Gillies, D.A., 1982, Frege, Dedekind, and Peano on the Foundations of Arithmetic, Assen: Van Gorcum. (Scholar)
  • Grattan-Guinness, Ivo (ed.), 1980, From the Calculus to Set Theory 1630–1910. An Introductory History, Princeton: Princeton University Press; especially Chapter 6, “Developments in the foundations of mathematics, 1870–1920”, by R. Bunn, pp. 220–255. (Scholar)
  • Gray, Jeremy, 1986, “The Nineteenth-Century Revolution in Mathematical Ontology”, in Revolutions in Mathematics, D. Gillies (ed.), Oxford: Oxford University Press; second edition, 1992, pp. 226–248. (Scholar)
  • –––, 2000, Linear Differential Equations and Group Theory, from Riemann to Poincaré, second edition, Boston: Birkhäuser; especially Chapter IV, “Modular Equations”, pp. 101–140. (Scholar)
  • –––, 2008, Plato’s Ghost: The Modernist Transformation of Mathematics, Princeton: Princeton University Press; especially Chapter 3, “Mathematical Modernism Arrives”, pp. 113–175. (Scholar)
  • –––, 2018, A History of Abstract Algebra, Berlin: Springer; especially Chapters 17–19, on Dedekind’s theories of ideals, pp. 195–216. (Scholar)
  • Haffner, Emmylou, 2014, “D’un point de vue rigoureux et parfaitement général: Pratique des mathématiques rigoureuses chez Richard Dedekind”, Philosophia Scientiae, 18, 131–156.
  • –––, 2015, “The Science of Number in Action in Richard Dedekind’s Works: Between Mathematical Explorations and Foundational Investigations”, Ph.D. Thesis, History and Philosophy of Mathematics, University of Paris/Diderot (Paris 7), HAL archives available online. (Scholar)
  • –––, 2017, “Strategic Use(s) of Arithmetic in Richard Dedekind and Heinrich Weber’s Theorie der algebraischen Funktionen einer Veränderlichen”, Historia Mathematica, 44: 31–69. (Scholar)
  • Hallett, Michael, 1994, “Hilbert’s Axiomatic Method and the Laws of Thought”, in Mathematics and Mind, A. George (ed.), Oxford: Oxford University Press, pp. 158–198. (Scholar)
  • –––, 1995, “Hilbert and Logic”, in Québec Studies in the Philosophy of Science, 1: 135–187. (Scholar)
  • –––, 2003, “Foundations of Mathematics”, in The Cambridge History of Philosophy, 1870–1945, T. Baldwin (ed.), Cambridge: Cambridge University Press, pp. 128–154. (Scholar)
  • Harborth, H. et al. (eds.), 2007, Gedenkschrift für Richard Dedekind, Braunschweig: Appelhans Verlag. (Scholar)
  • Haubrich, Ralf, 1992, Zur Entstehung der algebraischen Zahlentheorie Richard Dedekinds, Ph.D. dissertation, University of Göttingen. (Scholar)
  • Hawking, Stephen (ed.), 2005a, God Created the Integers. The Mathematical Breakthroughs that Changed History, London: Running Press. (Scholar)
  • –––, 2005b, Editor’s introduction to “Richard Julius Wilhelm Dedekind (1831–1916). His Life and Work”, in Hawking (2005a), pp. 901–905. (Scholar)
  • Hilbert, David, 1922, “Neubegründung der Mathematik: Erste Mitteilung”, reprinted in Gesammelte Abhandlungen, Dritter Band, New York: Chelsea, pp. 157–177. (Scholar)
  • Jahnke, Hans Niels (ed.), 2003, A History of Analysis, American Mathematical Society; especially: Chapter 1, “Antiquity”, by R. Thiele, pp. 1–40, and Chapter 10, “The End of the Science of Quantity: Foundations of Analysis, 1860–1910”, by J. Lützen, pp. 291–324; originally published in German, 1999. (Scholar)
  • Jourdain, P.E.B., 1916, “Richard Dedekind (1833–1916)”, The Monist, 26: 415–427; reprinted in Modern Logic, 3 (1993): 207–214. (Scholar)
  • Kahle, Reinhard, 2017, “Von Dedekind zu Zermelo versus Peano zu Gödel”, in Scheel et al. (2017), pp. 174–185. (Scholar)
  • Kitcher, Philip, 1986, “Frege, Dedekind, and the Philosophy of Mathematics”, in Frege Synthesized, L. Haaparanta & J. Hintikka (eds.), Dordrecht: D. Reidel, pp. 299–343. (Scholar)
  • Klev, Ansten, 2011, “Dedekind and Hilbert on the Foundations of the Exact Sciences”, The Review of Symbolic Logic, 4: 645–681. (Scholar)
  • –––, 2017, “Dedekind’s Logicism”, Philosophia Mathematica, 25: 341–368. (Scholar)
  • –––, 2018, “A Road Map to Dedekind’s Theorem 66”, HOPOS: The Journal of the International Society for the History of the Philosophy of Science, 8: 241–277. (Scholar)
  • Kolmogorov, A.N. & Yushkevich, A.P., 2001, Mathematics of the 19th Century. Vol. I: Mathematical Logic, Algebra, Number Theory, Probability Theory, second edition (revised), Birkhäuser: Boston; especially Chapter 2, Section 3, “The Theory of Algebraic Numbers and the Beginnings of Commutative Algebra”, by I.G. Bashmakova & A.N. Rudakov, pp. 86–135; originally published in Russian, 1978. (Scholar)
  • Landau, Edmund, 1917, “Richard Dedekind”, Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Geschäftliche Mitteilungen, 50–70. (Scholar)
  • Laugwitz, Detlef, 1999, Bernhard Riemann 1826–1866. Turning Points in the Conception of Mathematics, Boston: Birkhäuser; originally published in German, 1996. (Scholar)
  • Linnebo, Ø & Pettigrew, R., 2014, “Two Types of Abstraction for Structuralism”, The Philosophical Quarterly, 64: 267–283. (Scholar)
  • McCarty, David, 1995, “The Mysteries of Richard Dedekind”, in From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics, J. Hintikka (ed.), New York: Springer, pp. 53–96. (Scholar)
  • McLarty, Colin, 2006, “Emmy Noether’s ‘Set Theoretic’ Topology: From Dedekind to the Rise of Functors”, in The Architecture of Modern Mathematics, J. Ferreirós & J. Grey (eds.), Oxford: Oxford University Press, pp. 187–208. (Scholar)
  • Mehrtens, Herbert, 1979a, Entstehung der Verbandstheorie, Hildesheim: Gerstenberg; especially Chapter 2, “Die ‘Dualgruppe’ von Richard Dedekind”, pp. 66–126. (Scholar)
  • –––, 1979b, “Das Skelett der modernen Algebra. Zur Bildung mathematischer Begriffe bei Richard Dedekind”, in Disciplinae Novae, C.J. Sciba (ed.), Göttingen: Vanderhoeck & Ruprecht, pp. 25–43. (Scholar)
  • –––, 1982, “Richard Dedekind – Der Mensch und die Zahlen”, Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft, 33: 19–33. (Scholar)
  • Merzbach, Utah, 2018, Dirichlet: A Mathematical Biography, Birkhäuser: Basel. (Scholar)
  • Mueller, Ian, 1981, Philosophy of Mathematics and Deductive Structure in Euclid’s Elements, Cambridge, Massachusetts: MIT Press, especially Chapter 3, “Magnitudes in Proportion”, pp. 118–151. (Scholar)
  • Müller-Stach, Stefan, 2017, “Richard Dedekind: Style and Influence”, in Scheel et al. (2017), pp. 26–35. (Scholar)
  • Potter, Michael, 2000, Reason’s Nearest Kin: Philosophies of Arithmetic from Kant to Carnap, Oxford: Oxford University Press; especially Chapter 3, “Dedekind”, pp. 81–104. (Scholar)
  • Reck, Erich, 2003, “Dedekind’s Structuralism: An Interpretation and Partial Defense”, Synthese, 137: 369–419. (Scholar)
  • –––, 2009, “Dedekind, Structural Reasoning, and Mathematical Understanding”, in New Perspectives on Mathematical Practices, B. van Kerkhove (ed.), Singapore: World Scientific, pp. 150–173. (Scholar)
  • –––, 2013, “Frege, Dedekind, and the Origins of Logicism”, History and Philosophy of Logic, 34: 242–265. (Scholar)
  • –––, 2017, “Dedekind as a Philosopher of Mathematics”, in Scheel et al. (2017), pp. 36–49. (Scholar)
  • –––, 2018, “On Reconstructing Dedekind Abstraction Logically”, in Logic, Philosophy of Mathematics, and their History: Essays in Honor of W.W. Tait, E. Reck (ed.), London: College Publications, pp. 113–138. (Scholar)
  • –––, 2019, “The Logic in Dedekind’s Logicism”, in Logic from Kant to Russell: Laying the Foundations for Analytic Philosophy, S. Lapointe (ed.), Routledge: London, pp. 171–188. (Scholar)
  • –––, 2020, “Cassirer’s Reception of Dedekind and the Structuralist Transformation of Mathematics”, in Reck & Schiemer (2020), pp. 329–351. (Scholar)
  • Reck, E. & Price, M., 2000, “Structures and Structuralism in Contemporary Philosophy of Mathematics”, Synthese, 125: 341–383. (Scholar)
  • Reck, E. & Schiemer, G. (eds.), 2020, The Prehistory of Mathematical Structuralism, Oxford: Oxford University Press. (Scholar)
  • Reed, David, 1995, Figures of Thought, Routledge: London; especially Chapter 4, “Number Theory in the Nineteenth Century”, pp. 76–116. (Scholar)
  • Scharlau, Winfried (ed.), 1981a, Richard Dedekind, 1831/1981: Eine Würdigung zu seinen 150. Geburtstag, Braunschweig: Vieweg. (Scholar)
  • –––, 1981b, “Erläuterungen zu Dedekinds Manuskript über Algebra”, in Scharlau (1981a), pp. 101–108. (Scholar)
  • Scheel, K., Sonar, T. & Ullrich, P. (eds.), 2017, In Memoriam Richard Dedekind (1831–1916). Number Theory–Algebra–Set Theory–History–Philosophy, WTM Verlag: Münster. (Scholar)
  • Schlimm, Dirk, 2000, Richard Dedekind: Axiomatic Foundations of Mathematics, M.A. thesis, Carnegie Mellon University, Pittsburgh; with selections from Dedekind’s Nachlass. (Scholar)
  • –––, 2011, “On the Creative Role of Axiomatics: The Discovery of Lattices by Schroeder, Dedekind, Birkhoff, and Others”, Synthese, 183, 47–68. (Scholar)
  • –––, 2017, “On Dedekind’s Axiomatic Approach to the Foundations of Mathematics”, in Scheel et al. (eds.), pp, 75–82. (Scholar)
  • Sieg, Wilfried, 2010, “Searching for Proofs (and Uncovering Capacities of the Mathematical Mind)”, in Proofs, Categories, and Computations: Essays in Honor of Grigory Mints, S. Feferman & W. Sieg (eds.), London: College Publications, pp. 189–215. (Scholar)
  • –––, 2014, “The Ways of Hilbert’s Axiomatics: Structural and Formal”, Perspectives on Science, 22, 133–157. (Scholar)
  • Sieg, W. & Morris, R., 2018, “Dedekind’s Structuralism: Creating Concepts and Deriving Theorems”, in Logic, Philosophy of Mathematics, and their History: Essays in Honor of W.W. Tait, E. Reck (ed.), London: College Publications, pp. 251–301. (Scholar)
  • Sieg, W. & Schlimm, D., 2005, “Dedekind’s Analysis of Number: System and Axioms”, Synthese, 147: 121–170. (Scholar)
  • –––, 2017, “Dedekind’s Abstract Concepts: Models and Mappings”, Philosophia Mathematica, 25, 292–317. (Scholar)
  • Sinaceur, M.A., 1974, “L’infini et les nombres – Commentaires de R. Dedekind à ‘Zahlen’ – La correspondance avec Keferstein”, Revue d’histoire des sciences, 27: 251–278.
  • –––, 1979, “La méthode mathématique de Dedekind”, Revue d’histoire des sciences, 32: 107–142. (Scholar)
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  • Sonar, Thomas, 2017, “Richard Dedekind (1831–1916)”, in Scheel et al. (2017), pp. 1–7. (Scholar)
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