Frege’s Writings

• 1879a, Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Halle a. S.: Louis Nebert; all quotes from this work are from the translation in T.W. Bynum (ed. and trans.), Frege: Conceptual Notation and Related Articles, Oxford: Clarendon, 1972.
• 1879b, “Anwendungen der Begriffsschrift”, Sitzungsberichte der Jenaische Zeitschrift für Medicin und Naturwissenschaft, 13: 29–33. (Scholar)
• 1880/1881, “Booles rechnende Logik und die Begriffsschrift”, unpublished manuscript. Translated as “Boole’s Logical Calculus and the Concept Script”, in LW79: 9–46. (Scholar)
• 1881, “Booles logische Formelsprache und meine Begriffsschrift”, unpublished manuscript. Translated as “Boole’s Logical Formula Language and my Concept-script”, in LW79: 47–52. (Scholar)
• 1882a, “Über die wissenschaftliche Berechtigung einer Begriffsschrift”, Zeitschrift für Philosophie und philosophische Kritik, 81: 48–56. Translated as “On the Scientific Justification of a Conceptual Notation” in By72: 83–89. (Scholar)
• 1882b, “Über den Zweck der Begriffsschrift”, Lecture at the 27 January 1882 meeting of the Jenaischen Gesellschaft für Medizin und Naturwissenschaft. Translated as “On the Aim of the ‘Conceptual Notation’” in By72: 90–100. (Scholar)
• 1884, Die Grundlagen der Arithmetik: eine logisch mathematische Untersuchung über den Begriff der Zahl, Breslau: W. Koebner. Translated as The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, J. L. Austin (trans.), second revised edition, Oxford: Blackwell, 1953.
• 1891, “Funktion und Begriff” (“Function and Concept”), Vortrag, gehalten in der Sitzung vom 9. Januar 1891 der Jenaischen Gesellschaft für Medizin und Naturwissenschaft, Jena: Hermann Pohle.
• 1892a, “Über Sinn und Bedeutung” (“On Sense and Reference”), Zeitschrift für Philosophie und philosophische Kritik, 100: 25–50.
• 1892b, “Über Begriff und Gegenstand”’ (“Concept and Object”), Vierteljahresschrift für wissenschaftliche Philosophie, 16: 192–205.
• 1893/1903, Grundgesetze der Arithmetik: begriffsschriftlich abgeleitet, Jena: Verlag Hermann Pohle, volume 1 in 1893 and volume 2 in 1903. Translated in ER13.
• 1897, “Über die Begriffsschrift des Herrn Peano und meine eigene”, Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig: Mathematisch-physische Klasse, 48: 361–378. Translated as “On Mr. Peano’s Conceptual Notation and My Own” in BD84: 234–248. (Scholar)

Translations

• [Be97] The Frege Reader, Michael Beaney (ed.), Oxford ; Malden, MA: Blackwell Publishers, 1997.
• [BD84] Collected Papers on Mathematics, Logic, and Philosophy, Brian McGuinness (ed.), Oxford/New York: B. Blackwell, 1984.
• [By72] Conceptual Notation, and Related Articles, Terrell Ward Bynum (ed./tran.), Oxford: Clarendon Press, 1972.
• [ER13] Gottlob Frege: Basic Laws of Arithmetic: Derived Using Concept-Script. Volumes I & II, Philip A. Ebert and Marcus Rossberg (eds/trans), Oxford: Oxford University Press, 2013.
• [LW79] Posthumous Writings, Hans Hermes, Friedrich Kambartel, and Friedrich Kaulbach (eds.). Peter Long and Roger White (trans.), Chicago: University of Chicago Press, 1979.
• [RA04] Frege’s Lectures on Logic: Carnap’s Student Notes, 1910-1914, Gottfried Gabriel (ed.). Erich H. Reck and Steve Awodey (trans/eds), Chicago, IL: Open Court, 2004. (Scholar)
• Van Heijenoort, Jean (ed.), 1967a, From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931, (Source Books in the History of the Sciences), Cambridge, MA: Harvard University Press. (Scholar)

Secondary Literature

• Beaney, Michael, 1997, “Introduction”, in Be97, 1–46. (Scholar)
• ––– (ed.), 2013, The Oxford Handbook of the History of Analytic Philosophy, Oxford: Oxford University Press. doi:10.1093/oxfordhb/9780199238842.001.0001 (Scholar)
• Berg, Eric D. and Roy T. Cook, 2017, “The Propositional Logic of Frege’s Grundgesetze: Semantics and Expressiveness”, Journal for the History of Analytical Philosophy, 5: article 6. doi:10.15173/jhap.v5i6.2920 (Scholar)
• Boolos, George, 1994, “1879?”, in Clark and Hale (eds) 1994: 31–48 (ch. 2).
• Burge, Tyler, 1984, “Frege on Extensions of Concepts, from 1884 to 1903”, The Philosophical Review, 93(1): 3–34. doi:10.2307/2184411 (Scholar)
• Clark, Peter and Bob Hale (eds.), 1994, Reading Putnam, Cambridge, MA: Blackwell Publishers. (Scholar)
• Cook, Roy T., 2013, “How to Read Grundgesetze”, appendix to ER13: A1–A42. (Scholar)
• Currie, Gregory, 1984, “Frege’s Metaphysical Argument”, The Philosophical Quarterly, 34(136): 329–342. Reprinted Wright 1984: 144–157. doi:10.2307/2218764 (Scholar)
• Dedekind, Richard, 1888, Was sind und was sollen die Zahlen?, Braunschweig: Friedrich Vieweg. (Scholar)
• Dummett, Michael A. E., 1981, The Interpretation of Frege’s Philosophy, London: Duckworth. (Scholar)
• Ebert, Philip A. and Marcus Rossberg (eds.), 2019, Essays on Frege’s: “Basic Laws of Arithmetic”, Oxford: Oxford University Press. (Scholar)
• Gabbay, Dov M. and John Woods (eds.), 2004, Handbook of the History of Logic, Volume 3, the Rise of Modern Logic: From Leibniz to Frege, Amsterdam/Boston: Elsevier. (Scholar)
• Goldfarb, Warren, 2010, “Frege’s Conception of Logic”, in Potter and Ricketts 2010: 63–85. doi:10.1017/ccol9780521624282.003">10.1017/ccol9780521624282.003 (Scholar)
• Heck, Richard Kimberly, 2012, Reading Frege’s “Grundgesetze”, Oxford: Clarendon Press. (originally published under Richard G. Heck) (Scholar)
• –––, 2019, “Formal Arithmetic Before Grundgesetze”, in Ebert and Rossberg 2019: 497–537 (ch. 18). (Scholar)
• Heck, Richard Kimberly and Robert May, 2013, “The Function Is Unsaturated”, in Beaney 2013: 825–850. (originally published under Richard Kimberley Heck and Robert May) doi:10.1093/oxfordhb/9780199238842.013.0028 (Scholar)
• –––, 2020, “The Birth of Semantics”, Journal for the History of Analytical Philosophy, 8: article 6. doi:10.15173/jhap.v8i6.3970 (Scholar)
• Jones, Emily Elizabeth Constance, 1890, Elements of Logic as a Science of Propositions, Edinburgh: T. & T. Clark. (Scholar)
• Jourdain, Philip, 1912, “The Development of Theories of Mathematic Logic and the Principles of Mathematics”, The Quarterly Journal of Pure and Applied Mathematics, 43: 219–314. (Scholar)
• Kemp, Gary, 1995, “Truth in Frege’s ‘Law of Truth’”, Synthese, 105(1): 31–51. doi:10.1007/bf01064102 (Scholar)
• Kremer, Michael, 2010, “Sense and Reference: The Origins and Development of the Distinction”, in Potter and Ricketts 2010: 220–292. doi:10.1017/ccol9780521624282.007 (Scholar)
• Landini, Gregory, 2012, Frege’s Notations: What They Are and How They Mean, (History of Analytic Philosophy), Houndmills, UK/New York: Palgrave Macmillan. (Scholar)
• Łukasiewicz, Jan, 1934, “Z Historii Logiki Zdãn”, Przeglad Filozoficzny, 37: 369–377. (Scholar)
• Mates, Benson, 1972, Elementary Logic, second edition, New York: Oxford University Press. (Scholar)
• Mostowski, Andrzej, 1957, “On a Generalization of Quantifiers”, Fundamenta Mathematics, 44(1): 12–36. (Scholar)
• Pedriali, Walter B., 2019, “When Logic Gives Out: Frege on Basic Logical Laws”, in Ebert and Rossberg 2019: 57–89 (ch. 3). (Scholar)
• Potter, Michael D. and Tom Ricketts (eds.), 2010, The Cambridge Companion to Frege, Cambridge, UK/New York: Cambridge University Press. doi:10.1017/CCOL9780521624282 (Scholar)
• Putnam, Hilary, 1982, “Peirce the Logician”, Historia Mathematica, 9(3): 290–301. doi:10.1016/0315-0860(82)90123-9 (Scholar)
• Russell, Bertrand, 1902, “Letter to Frege”, printed in van Heijenoort (ed.) 1967a: 124–125. (Scholar)
• Tarski, Alfred, 1933, “The Concept of Truth in the Languages of the Deductive Sciences” (Polish), Prace Towarzystwa Naukowego Warszawskiego, Wydzial III Nauk Matematyczno-Fizycznych 34, Warsaw. Reprinted in Zygmunt (ed.), 1995, Alfred Tarski, Pisma Logiczno-Filozoficzne, 1 Prawda, Warsaw: Wydawnictwo Naukowe PWN, 13–172. English translation in Tarski’s Logic, Semantics, Metamathematics: Papers from 1923 to 1938, 2nd edition, John Corcoran (ed.), Indianapolis: Hackett Publishing Company, 1983, 152–278. (Scholar)
• van Heijenoort, Jean, 1967b, “Introduction to Begriffsschrift”, in van Heijenoort (ed.) 1967: 1–5. (Scholar)
• Wright, Crispin (ed.), 1984, Frege: Tradition and Influence, Oxford/New York: B. Blackwell. (Scholar)