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New Essays on Leibniz Reception pp 13–24Cite as

The Reception of Leibniz’s Logic in 19th Century German Philosophy

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Abstract

Leibniz’s impact on the emergence of mathematical (algebraic, algorithmic or symbolic) logic is an important topic for understanding the emergence and development of the current views on logic.1 However, the question whether Leibniz had any influence at all, or whether his ideas were not more than ingenious anticipations of later developments, is still disputed. The significance of this problem can be shown by referring to Louis Couturat who claimed that in respect to the logical calculus Leibniz had all the principles of much later logical systems of the algebra of logic (George Boole, Ernst Schroder) and in some points he was even more advanced than they (Couturat 1901, 386).

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References

  1. Aiton, Eric J, Leibniz. A Biography, Adam Hilger: Bristol and Boston 1985.

    Google Scholar 

  2. Bacon, Francis, “Novum Organum sive indicia vera de interpretatione naturae”, in Francis Bacon, The Works of Francis Bacon, edited by James Spedding, Robert Leslie Ellis and Douglas Denon Heath, 14 vols., Longman & Co. etc.: London 1858–1874, reprinted Friedrich Frommann Verlag Günther Holzboog: Stuttgart-Bad Cannstatt 1963, vol. 1 [1858], 149–365.

    Google Scholar 

  3. Beaney, Michael, “Analysis”, The Stanford Encyclopedia of Philosophy (Winter 2008 Edition), Edward N. Zalta (ed.),http://plato.stanford.edu/archives/win2008/entries/analysis/.

  4. Boole, George, The Mathematical Analysis of Logic. Being an Essay towards a Calculus of Deductive Reasoning, Macmillan, Barclay, and Macmillan: Cambridge and George Bell: London 1847; reprinted Basil Blackwell: Oxford 1951.

    Google Scholar 

  5. Boole, George, An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities, Walton & Maberly: London 1854; reprinted Dover: New York nd. [1958].

    Google Scholar 

  6. Boole, Mary Everest, “Letters to a Reformer’s Children” [1905], in Mary Everest Boole, Collected Works, 4 vols., eds. E.M. Cobham, C.W. Daniel: London 1931, vol. 3, 1138–1163.

    Google Scholar 

  7. Cassirer, Ernst, Leibniz’ System in seinen wissenschaftlichen Grundlagen, Elwert: Marburg 1902.

    Google Scholar 

  8. Couturat, Louis, La logique de Leibniz d’après des documents inédits, Alcan: Paris 1901.

    Google Scholar 

  9. Erdmann, Johann Eduard, Versuch einer wissenschaftlichen Darstellung der Geschichte der Neueren Philosophie, 7 vols., Vogel: Berlin 1834–1853.

    Google Scholar 

  10. Erdmann, Johann Eduard, Versuch einer wissenschaftlichen Darstellung der Geschichte der neueren Philosophie, vol. 2, pt. 2: Leibniz und die Entwicklung des Idealismus vor Kant, Vogel: Leipzig 1842.

    Google Scholar 

  11. Exner, Franz, “Über Leibnitz‘ens Universal-Wissenschaft,“ Abhandlungen der Königlichen Böhmischen Gesellschaft der Wissenschaften, 5th series, vol. 3 (1843–44), Calve: Prag 1845, 163–200; separat in Commission at Borrosch & André: Prag 1843.

    Google Scholar 

  12. Frege, Gottlob, Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Louis Nebert: Halle 1879; reprinted in Gottlob Frege, Begriffsschrift und andere Aufsätze, 3rd ed., with E. Husserl’s and H. Scholz’s comments edited by Ignacio Angelelli, Wissenschaftliche Buchgesellschaft: Darmstadt 1977.

    Google Scholar 

  13. Frege, Gottlob, “Ueber den Zweck der Begriffsschrift,” Jenaische Zeitschrift für Naturwissenschaft 15 (1883), supplement: Sitzungsberichte der Jenaischen Gesellschaft für Medicin und Naturwissenschaft für das Jahr 1882, 1–10; again in Gottlob Frege, Begriffsschrift und andere Aufsätze, 3rd ed., with E. Husserl’s and H. Scholz’s comments edited by Ignacio Angelelli, Wissenschaftliche Buchgesellschaft: Darmstadt 1977, 97–106.

    Google Scholar 

  14. Glockner, Hermann, Johann Eduard Erdmann, Fr. Frommanns Verlag: Stuttgart 1932 (Frommanns Klassiker der Philosophie; 30).

    Google Scholar 

  15. Guhrauer, Gottschalk Eduard, Gottfried Wilhelm Freiherr v. Leibnitz. Eine Biographie, 2 vols., Hirt: Breslau 1842; new edition 1846; reprinted Olms: Hildesheim 1966.

    Google Scholar 

  16. Hallo, Rudolf, Rudolf Erich Raspe. Ein Wegbereiter deutscher Art und Kunst, Kohlhammer: Stuttgart and Berlin 1934 (Göttinger Forschungen; 5).

    Google Scholar 

  17. Harley, Robert, “Remarks on Boole’s Mathematical Analysis of Logic,” Report of the Thirty-sixth Meeting of the British Association for the Advancement of Science; Held at Nottingham in August 1866, John Murray: London 1867.

    Google Scholar 

  18. Jevons, William Stanley, The Principles of Science. A Treatise on Logic and Scientific Method, 2 Bde.,Macmillan and Co.: London 1874 [New York 1875]; 2nd ed. Macmillan and Co: London and New York; 31879; “stereotyped edition” 1883.

    Google Scholar 

  19. Květ, František Bolemír, Leibnitz’ens Logik. Nach den Quellen dargestellt, F. Tempsky: Prag 1857.

    Google Scholar 

  20. 20 Laita, Luis María, A Study of the Genesis of Boolean Logic, Ph.D. Notre Dame 1976.

    Google Scholar 

  21. Leibniz, Gottfried Wilhelm, Dissertatio de arte combinatoria, Fick und Seubold: Leipzig 1666; Academy edition vol. 6.1, 21990.

    Google Scholar 

  22. Leibniz, Gottfried Wilhelm, OEuvres philosophiques latines et françaises de feu Mr de Leibnitz, tirées des ses Manuscrits qui se conservant dans la Bibliothèque royale à Hanovre et publiées par M. Rud. Eric Raspe, Jean Schreuder: Amsterdam/Leipzig 1765.

    Google Scholar 

  23. Leibniz, GottfriedWilhelm, Deutsche Schriften, ed. G.E. Guhrauer, Berlin 1838/40.

    Google Scholar 

  24. Leibniz, Gottfried Wilhelm, Annales imperii occidentis Brunsvicenses, ed. G.H. Pertz, Hannover 1843–1846.

    Google Scholar 

  25. Leibniz, Gottfried Wilhelm, Die Grundlagen des logischen Kalküls, ed., transl., with a commentary by Franz Schupp with collaboration of Stephanie Weber, Meiner: Hamburg 2000.

    Google Scholar 

  26. Lenzen, Wolfgang, “Leibniz und die (Entwicklung der) moderne(n) Logik“, in Wolfgang Lenzen, Calculus Universalis. Studien zur Logik von G.W. Leibniz, Mentis: Paderborn 2004, 15–22.

    Google Scholar 

  27. Lenzen, Wolfgang, “Leibniz’s Logic”, in Dov M. Gabbay and John Woods (eds.), Handbook of the History of Logic, vol. 3: The Rise of Modern Logic. From Leibniz to Frege, Elsevier North Holland: Amsterdam et al. 2004, 1–83.

    Google Scholar 

  28. 28 John Locke, An Essay Concerning Human Understanding, Thomas Ballet: London 1690.

    Google Scholar 

  29. Peckhaus, Volker, Logik, Mathesis universalis und allgemeine Wissenschaft. Leibniz und die Wiederentdeckung der formalen Logik im 19. Jahrhundert, Akademie-Verlag: Berlin 1997 (Logica Nova).

    Google Scholar 

  30. Peckhaus, Volker, “Regressive Analysis,” in Uwe Meixner and Albert Newen (eds.), Philosophiegeschichte und logische Analyse. Logical Analysis and History of Philosophy, vol. 5, Mentis: Paderborn 2002, 97–110.

    Google Scholar 

  31. Russell, Bertrand, A Critical Exposition of the Philosophy of Leibniz, The University Press: Cambridge 1900.

    Google Scholar 

  32. Schröder, Ernst, Der Operationskreis des Logikkalkuls, Teubner: Leipzig 1877; reprinted as special edition Wissenschaftliche Buchgesellschaft: Darmstadt 1966.

    Google Scholar 

  33. Schröder, Ernst, Review of Frege, Begriffsschrift, Zeitschrift für Mathematik und Physik, Hist.-literarische Abt. 25 (1880), 81–94.

    Google Scholar 

  34. Schupp, Franz, “Einleitung. Zu II. Logik,” in Albert Heinekamp and Franz Schupp (eds.), Leibniz’ Logik und Metaphysik, Wissenschaftliche Buchgesellschaft: Darmstadt 1988 (Wege der Forschung; 328), 41–52.

    Google Scholar 

  35. Schupp, Franz, “Einleitung,” in Leibniz 2000, VII–LXXXVI.

    Google Scholar 

  36. Trendelenburg, Friedrich Adolf, Elementa logices Aristotelicae. In usum scholarum ex Aristotele excerpsit, convertit, illustravit, Bethge: Berlin 1836, 51862.

    Google Scholar 

  37. Trendelenburg, Friedrich Adolf, Logische Untersuchungen, 2 vols., Bethge: Berlin 1840, 2nd ed. Hirzel: Leipzig 1862.

    Google Scholar 

  38. Trendelenburg, Friedrich Adolf, “Zur Geschichte von Hegel’s Logik und dialektischer Methode. Die logische Frage in Hegels Systeme. Eine Auffoderung [sic!] zu ihrer wissenschaftlichen Erledigung,” Neue Jenaische Allgemeine Literatur-Zeitung 1, no. 97, 23.4.1842, 405–408; no. 98, 25.4.1842, 409–412; no. 99, 26.4.1842, 413–414; separately published as Friedrich Adolf Trendelenburg, Die logische Frage in Hegel’s System. Zwei Streitschriften, Brockhaus: Leipzig 18

    Google Scholar 

  39. Trendelenburg, Friedrich Adolf, “Über Leibnizens Entwurf einer allgemeinen Charakteristik,” Philosophische Abhandlungen der Königlichen Akademie der Wissenschaften zu Berlin. Aus dem Jahr 1856, Commission Dümmler: Berlin 1857, 36–69; separatly published in Friedrich Adolf Trendelenburg, Historische Beiträge zur Philosophie, vol. 3: Vermischte Abhandlungen, Bethge: Berlin 1867, 1–47.

    Google Scholar 

  40. Venn, John, Symbolic Logic, Macmillan & Co.: London 1881.

    Google Scholar 

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  1. Institut für Humanwissenschaften: Philosophie, Universität Paderborn, Warburger Str. 100, D-33098, Paderborn, Germany

    Volker Peckhaus

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  1. Volker Peckhaus
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Correspondence to Volker Peckhaus .

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  1. Ostlandstrasse 33, Siegen, 57080, Germany

    Ralf Krömer

  2. , Archives H. Poincaré, Université Nancy 2, Nancy cedex, 54015, France

    Yannick Chin-Drian

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Peckhaus, V. (2012). The Reception of Leibniz’s Logic in 19th Century German Philosophy. In: Krömer, R., Chin-Drian, Y. (eds) New Essays on Leibniz Reception. Publications des Archives Henri Poincaré Publications of the Henri Poincaré Archives(). Springer, Basel. https://doi.org/10.1007/978-3-0346-0504-5_2

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