Gottlob Frege

Gottlob Frege (gôt´lōp frā´gə), 1848–1925, German philosopher and mathematician. He was professor of mathematics (1879–1918) at the Univ. of Jena. Frege was one of the founders of modern symbolic logic, and his work profoundly influenced Bertrand Russell. He claimed that all mathematics could be derived from purely logical principles and definitions. He considered verbal concepts to be expressible as symbolic functions with one or more variables. His books include Begriffsschrift (1879); Die Grundlagen der Arithmetik (1884; tr. The Foundations of Arithmetic, 1950); Grundgesetze der Arithmetik (2 vol., 1893–1903).

See P. T. Geach and M. Black, ed., Philosophical Writings of Gottlob Frege (1952); M. Resnik, Frege and the Philosophy of Mathematics (1980); M. Dummett, The Interpretation of Frege's Philosophy (repr. 1981).

The Columbia Encyclopedia, 6th ed. Copyright© 2014, The Columbia University Press.

Selected full-text books and articles on this topic

Frege Explained: From Arithmetic to Analytic Philosophy
Joan Weiner.
Open Court, 2004
Translations from the Philosophical Writings of Gottlob Frege
Peter Geach; Max Black; Gottlob Frege.
Philosophical Library, 1952
Frege on Definitions: A Case Study of Semantic Content
John Horty.
Oxford University Press, 2007
Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy
Juliet Floyd; Sanford Shieh.
Oxford University Press, 2003
Librarian’s tip: Chap. 1 "Frege's Conception of Logic: 1879 Publication of Frege's Begriffsschrift" and Chap. 2 "Theory and Elucidation: The End of the Age of Innocence: 1892 Publication of Frege's "Uber Sinn und Bedeutung"
Frege and Other Philosophers
Michael Dummett.
Clarendon Press, 1991
The Metaphysicians of Meaning: Russell and Frege on Sense and Denotation
Gideon Makin.
Routledge, 2000
Husserl and Frege
J. N. Mohanty.
Indiana University Press, 1982
The Philosophy of Mathematics Today
Matthias Schirn.
Clarendon Press, 1998
Librarian’s tip: Part IV "Frege and the Foundations of Arithmetic"
The Magic Prism: An Essay in the Philosophy of Language
Howard Wettstein.
Oxford University Press, 2004
Librarian’s tip: Chap. 1 "Two Fundamental Problems: Frege's Classical Approach" and Chap. 2 "Russell (and More Frege)"
Naming and Reference: The Link of Word to Object
R. J. Nelson.
Routledge, 1992
Librarian’s tip: "Frege's Semantics" begins on p. 43
The Development of Logic
Martha Kneale; William Kneale.
Clarendon Press, 1984
Librarian’s tip: Chap. VIII "Frege's General Logic," Chap. IX "Formal Developments after Frege," Chap. X "The Philosophy of Logic after Frege," and Chap. XI "The Philosophy of Mathematics after Frege"
The Varieties of Reference
Gareth Evans.
Clarendon Press, 1982
Librarian’s tip: Chap. 1 "Frege"
Bertrand Russell's Dialogue with His Contemporaries
Elizabeth Eames Ramsden.
Southern Illinois University Press, 1989
Librarian’s tip: Chap. 4 "Russell, Frege, and Meinong before 1905" and Chap. 5 Russell, Frege, and Meinong: 1905 and After
Language, Thought, and Logic: Essays in Honour of Michael Dummett
Richard G. Heck Jr.
Oxford University Press, 1997
Librarian’s tip: Chap. 2 "Has Dummett Oversalted his Frege? Remarks on the Conveyability of Thought" and Chap. 8 "On the Philosophical Significance of Frege's Theorem"
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