Године 1879, Фреге је конструисао прву варијанту предикатског рачуна. Она је веома слична оној која се данас користи, мада Фреге користи другачију нотацију. Фрегеово откриће квантификатора који везују променљиве, сматра се једним од највећих открића деветнаестог века.
Фреге је желео да покаже да је целу математику могуће свести на логику, али у томе није успео. Развио је специфичну филозофију језика, коју и данас многи филозофи сматрају веома значајном. Захваљујући Бертранду Раселу Фрегеова филозофијаје остварила изузетан утицај на рани развој аналитичке филозофије у англо-саксонском говорном подручју. Његов рад је имао средишњи утицај на филозофске радове Мајкла Дамета, једног од најистакнутијих британских филозофа друге половине 20. века.
J. van Heijenoort. „Begriffsschrift, a Formula Language, Modeled Upon That of Arithmetic, for Pure Thought”. From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931.. Harvard, MA: Harvard University Press, 1967, pp. 5–82.
In English (selected sections revised in modern formal notation): R. L. Mendelsohn, The Philosophy of Gottlob Frege, Cambridge: Cambridge University Press, 2005: "Appendix A. Begriffsschrift in Modern Notation: (1) to (51)" and "Appendix B. Begriffsschrift in Modern Notation: (52) to (68)."[а]
In English (translation of selected sections), "Translation of Part of Frege's Grundgesetze der Arithmetik" translated and edited Peter Geach and Max Black in Translations from the Philosophical Writings of Gottlob Frege, New York, NY: Philosophical Library, 1952, pp. 137–158.
In German (revised in modern formal notation): Grundgesetze der Arithmetik – Begriffsschriftlich abgeleitet. Band I und II: In moderne Formelnotation transkribiert und mit einem ausführlichen Sachregister versehen, edited by T. Müller, B. Schröder, and R. Stuhlmann-Laeisz, Paderborn: mentis, 2009.
Original: "Ueber Begriff und Gegenstand", in Vierteljahresschrift für wissenschaftliche Philosophie XVI (1892): 192–205.
In English: "Concept and Object".
"What is a Function?" (1904)
Original: "Was ist eine Funktion?", in Festschrift Ludwig Boltzmann gewidmet zum sechzigsten Geburtstage, 20 February 1904, S. Meyer (ed.), Leipzig, 1904, pp. 656–666.[16]
In English: "What is a Function?".
Logical Investigations (1918–1923). Frege intended that the following three papers be published together in a book titled Logische Untersuchungen (Logical Investigations). Though the German book never appeared, the papers were published together in Logische Untersuchungen, ed. G. Patzig, Vandenhoeck & Ruprecht, 1966, and English translations appeared together in Logical Investigations, ed. Peter Geach, Blackwell, 1975.
1918–19. "Der Gedanke: Eine logische Untersuchung" ("The Thought: A Logical Inquiry"), in Beiträge zur Philosophie des Deutschen Idealismus I:[б] 58–77.
1918–19. "Die Verneinung" ("Negation") in Beiträge zur Philosophie des Deutschen Idealismus I: 143–157.
1923. "Gedankengefüge" ("Compound Thought"), in Beiträge zur Philosophie des Deutschen Idealismus III: 36–51.
Чланци о геометрији
1903: "Über die Grundlagen der Geometrie". II. Jahresbericht der deutschen Mathematiker-Vereinigung XII (1903), 368–375.
In English: "On the Foundations of Geometry".
1967: Kleine Schriften. (I. Angelelli, ed.). Darmstadt: Wissenschaftliche Buchgesellschaft, 1967 and Hildesheim, G. Olms, 1967. "Small Writings" a collection of most of his writings (e.g., the previous), posthumously published.
Напомене
^Only the proofs of Part II of the Begriffsschrift are rewritten in modern notation in this work. Partial rewriting of the proofs of Part III is included in Boolos, George, „Reading the Begriffsschrift”. Mind. 94 (375): 331—344. (1985).
^Balaguer, Mark (25. 7. 2016). Zalta, Edward N., ур. Platonism in Metaphysics. Metaphysics Research Lab, Stanford University — преко Stanford Encyclopedia of Philosophy.CS1 одржавање: Формат датума (веза)
^Tom Rockmore, On Foundationalism: A Strategy for Metaphysical Realism, Rowman & Littlefield, 2004, p. 111.
^Frege criticized direct realism in his "Über Sinn und Bedeutung" (see Samuel Lebens, Bertrand Russell and the Nature of Propositions: A History and Defence of the Multiple Relation Theory of Judgement, Routledge, 2017, p. 34).
^Willard Van Orman Quine, introduction to Moses Schönfinkel's "Bausteine der mathematischen Logik", pp. 355–357, esp. 355. Translated by Stefan Bauer-Mengelberg as Jean van Heijenoort,, ур. (1967). „On the building blocks of mathematical logic”. A Source Book in Mathematical Logic, 1879–1931. Harvard University Press. стр. 355—66.
1879. Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens. Halle a. S.: Louis Nebert. Translation: Concept Script, a formal language of pure thought modelled upon that of arithmetic, by S. Bauer-Mengelberg in Jean Van Heijenoort, ed., 1967. From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931. Harvard University Press..
1884. Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: W. Koebner. Translation: J. L. Austin, 1974. The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, 2nd ed. Blackwell.
1891. "Funktion und Begriff." Translation: "Function and Concept" in Geach and Black (1980).
1892a. „Über Sinn und Bedeutung”. Zeitschrift für Philosophie und philosophische Kritik. 100: 25—50. in . . Translation: "On Sense and Reference" in Geach and Black (1980).
1892b. "Ueber Begriff und Gegenstand" in . Vierteljahresschrift für wissenschaftliche Philosophie. 16: 192—205.Недостаје или је празан параметар |title= (помоћ). Translation: "Concept and Object" in Geach and Black (1980).
1893. Grundgesetze der Arithmetik, Band I. Jena: Verlag Hermann Pohle. Band II, 1903. Band I+II onlineАрхивирано на сајту Wayback Machine (17. јун 2022). Partial translation of volume 1: Montgomery Furth, 1964. The Basic Laws of Arithmetic. University of California Press. Translation of selected sections from volume 2 in Geach and Black (1980). Complete translation of both volumes: Philip A. Ebert and Marcus Rossberg, 2013, Basic Laws of Arithmetic. Oxford University Press.Спољашња веза у |title= (помоћ).
1904. "Was ist eine Funktion?" in Meyer, S., ed., Festschrift Ludwig Boltzmann gewidmet zum sechzigsten Geburtstage, 20. Februar 1904. Leipzig: Barth. 1904.: 656–666. Translation: "What is a Function?" in Geach and Black (1980).
1918–1923. Peter Geach (editor): Logical Investigations, Blackwell, 1975.
1924. Gottfried Gabriel, Wolfgang Kienzler (editors): Gottlob Freges politisches Tagebuch. In: Deutsche Zeitschrift für Philosophie, vol. 42, 1994, pp. 1057–98. Introduction by the editors on pp. 1057–66. This article has been translated into English, in: Inquiry, vol. 39, 1996, pp. 303–342.
Peter Geach and Max Black, eds., and trans., 1980. Translations from the Philosophical Writings of Gottlob Frege, 3rd ed. Blackwell (1st ed. 1952).
Baker, Gordon, and P.M.S. Hacker (1984). Frege: Logical Excavations. Oxford University Press.CS1 одржавање: Вишеструка имена: списак аутора (веза). — Vigorous, if controversial, criticism of both Frege's philosophy and influential contemporary interpretations such as Dummett's.
Currie, Gregory (1982). Frege: An Introduction to His Philosophy. Harvester Press..
------ (1981). The Interpretation of Frege's Philosophy. Harvard University Press..
Hill, Claire Ortiz, (1991). Word and Object in Husserl, Frege and Russell: The Roots of Twentieth-Century Philosophy. Athens OH: Ohio University Press.CS1 одржавање: Вишеструка имена: списак аутора (веза).
------, and Rosado Haddock, G. E., 2000. Husserl or Frege: Meaning, Objectivity, and Mathematics. Open Court. — On the Frege-Husserl-Cantor triangle.
Kenny, Anthony, . Frege – An introduction to the founder of modern analytic philosophy. Penguin Books. 1995.. — Excellent non-technical introduction and overview of Frege's philosophy.
Klemke, E.D., ed. (1968). Essays on Frege. University of Illinois Press.CS1 одржавање: Вишеструка имена: списак аутора (веза)CS1 одржавање: Текст вишка: списак аутора (веза). — 31 essays by philosophers, grouped under three headings: 1. Ontology; 2. Semantics; and 3. Logic and Philosophy of Mathematics.
Ferreira, F. and Wehmeier, K., 2002, "On the consistency of the Delta-1-1-CA fragment of Frege's Grundgesetze" Journal of Philosophic Logic 31: 301–11.
Grattan-Guinness, Ivor (2000). The Search for Mathematical Roots 1870–1940. Princeton University Press.. — Fair to the mathematician, less so to the philosopher.
Gillies, Donald A., 1982. Frege, Dedekind, and Peano on the foundations of arithmetic. Methodology and Science Foundation, 2. Van Gorcum & Co., Assen, 1982.
Gillies, Donald: The Fregean revolution in logic. Revolutions in mathematics, 265–305, Oxford Sci. Publ., Oxford University Press, New York, 1992.
Charles Parsons, 1965, "Frege's Theory of Number." Reprinted with Postscript in Demopoulos (1965): 182–210. The starting point of the ongoing sympathetic reexamination of Frege's logicism.
Gillies, Donald: The Fregean revolution in logic. Revolutions in mathematics, 265–305, Oxford Sci. Publ., Oxford University Press, New York, 1992.
Heck, Richard Kimberly: Heck, Richard G. (29. 9. 2011). Frege's Theorem. OUP Oxford. ISBN978-0-19-969564-5.CS1 одржавање: Формат датума (веза). Oxford: Oxford University Press, 2013
Wright, Crispin (1983). Frege's Conception of Numbers as Objects. Aberdeen University Press.. — A systematic exposition and a scope-restricted defense of Frege's Grundlagen conception of numbers.