German philosopher, logician, and mathematician (1848–1925)
"Frege" redirects here. For other people with the surname, see Frege (surname).
Not to be confused with Gottlob Frick.
Gottlob Frege
Frege in c. 1879
Born
8 November 1848
Wismar, Grand Duchy of Mecklenburg-Schwerin, German Confederation
Died
26 July 1925(1925-07-26) (aged 76)
Bad Kleinen, Free State of Mecklenburg-Schwerin, German Reich
Education
University of Göttingen (PhD, 1873) University of Jena (Dr. phil. hab., 1874)
Notable work
Begriffsschrift (1879) The Foundations of Arithmetic (1884) Basic Laws of Arithmetic (1893–1903)
Era
19th-century philosophy 20th-century philosophy
Region
Western philosophy
School
Analytic philosophy Linguistic turn Logical objectivism Modern Platonism[1] Logicism Transcendental idealism[2][3] (before 1891) Metaphysical realism[3] (after 1891) Foundationalism[4] Indirect realism[5] Redundancy theory of truth[6]
Institutions
University of Jena
Theses
Ueber eine geometrische Darstellung der imaginären Gebilde in der Ebene (On a Geometrical Representation of Imaginary Forms in a Plane) (1873)
Rechnungsmethoden, die sich auf eine Erweiterung des Größenbegriffes gründen (Methods of Calculation based on an Extension of the Concept of Magnitude) (1874)
Doctoral advisor
Ernst Christian Julius Schering (PhD thesis advisor)
Other academic advisors
Rudolf Friedrich Alfred Clebsch
Notable students
Rudolf Carnap
Main interests
Philosophy of mathematics, mathematical logic, philosophy of language
Notable ideas
Anti-psychologism
principle of compositionality
context principle
quantification theory
predicate calculus
Frege's propositional calculus
ancestral relation
logicism
sense and reference
Frege's puzzles
concept and object
sortal
Third Realm
mediated reference theory (Frege–Russell view)
descriptivist theory of names
redundancy theory of truth,[6]
set-theoretic definition of natural numbers
Hume's principle
Basic Law V
Frege's theorem
Frege–Church ontology
Frege–Geach problem
law of trichotomy
technique for binding arguments[7][8]
round square copula[9]
Friedrich Ludwig Gottlob Frege (/ˈfreɪɡə/;[10]German:[ˈɡɔtloːpˈfreːɡə]; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever.[11]
His contributions include the development of modern logic in the Begriffsschrift and work in the foundations of mathematics. His book the Foundations of Arithmetic is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn. His philosophical papers "On Sense and Reference" and "The Thought" are also widely cited. The former argues for two different types of meaning and descriptivism. In Foundations and "The Thought", Frege argues for Platonism against psychologism or formalism, concerning numbers and propositions respectively.
^Balaguer, Mark (25 July 2016). Zalta, Edward N. (ed.). Platonism in Metaphysics. Metaphysics Research Lab, Stanford University – via Stanford Encyclopedia of Philosophy.
^ abMichael Resnik, II. Frege as Idealist and then Realist," Inquiry 22 (1–4):350–357 (1979).
^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).
^ abTruth – Internet Encyclopedia of Philosophy; The Deflationary Theory of Truth (Stanford Encyclopedia of Philosophy).
^Gottlob Frege, Grundgesetze der Arithmetik I, Jena: Verlag Hermann Pohle, 1893, §36.
^Willard Van Orman Quine, introduction to Moses Schönfinkel's "Bausteine der mathematischen Logik", pp. 355–357, esp. 355. Translated by Stefan Bauer-Mengelberg as "On the building blocks of mathematical logic" in Jean van Heijenoort (1967), A Source Book in Mathematical Logic, 1879–1931. Harvard University Press, pp. 355–66.
^Gottlob Frege, The Foundations of Arithmetic, Northwestern University Press, 1980, p. 87.
^"Frege". Random House Webster's Unabridged Dictionary.
^Wehmeier, Kai F. (2006). "Frege, Gottlob". In Borchert, Donald M. (ed.). Encyclopedia of Philosophy. Vol. 3 (2 ed.). Macmillan Reference USA. ISBN 0-02-866072-2.
Friedrich Ludwig GottlobFrege (/ˈfreɪɡə/; German: [ˈɡɔtloːp ˈfreːɡə]; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician...
Arithmetik) is a book by GottlobFrege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist...
Begriffsschrift (German for, roughly, "concept-writing") is a book on logic by GottlobFrege, published in 1879, and the formal system set out in that book. Begriffsschrift...
"The Thought: A Logical Inquiry" is an essay by GottlobFrege. It was published as "Der Gedanke. Eine logische Untersuchung" in the philosophy journal...
reference, the constitution of sentences, concepts, learning, and thought. GottlobFrege and Bertrand Russell were pivotal figures in analytic philosophy's "linguistic...
German philosopher GottlobFrege in 1892 (in his paper "Concept and Object"; German: "Über Begriff und Gegenstand"). According to Frege, any sentence that...
rules used to combine them. The principle is also called Frege's principle, because GottlobFrege is widely credited for the first modern formulation of...
has its roots in the work of late 19th-century mathematicians such as GottlobFrege. Today, the most used system is classical logic. It consists of propositional...
the 20th century. Central figures in its historical development are GottlobFrege, Bertrand Russell, G. E. Moore, and Ludwig Wittgenstein. Other important...
context as the basis of mathematics. It drew the adverse notice of GottlobFrege, who criticized its psychologism. In 1901 Husserl with his family moved...
complete inference rules. Frege systems (more often known as Hilbert systems in general proof theory) are named after GottlobFrege. Let K be a finite functionally...
which it refers. It thus stands opposed to direct reference theory. GottlobFrege is a well-known advocate of mediated reference theories. Similar theories...
logicians and a founder of analytic philosophy, along with his predecessor GottlobFrege, his friend and colleague G. E. Moore, and his student and protégé Ludwig...
been superseded by first-order predicate logic following the work of GottlobFrege, in particular his Begriffsschrift (Concept Script; 1879). Syllogism...
and reference was an idea of the German philosopher and mathematician GottlobFrege in 1892 (in his paper "On Sense and Reference"; German: "Über Sinn und...
Russell and GottlobFrege have both been associated with the descriptivist theory, which is sometimes called the mediated reference theory or Frege–Russell...
Press. Frege, Gottlob (1903). Grundgesetze der Arithmetik (in German). Vol. 2. Jena: Hermann Pohle. Translation of selected sections in Frege (1960)....
practical consequences. The philosophy of GottlobFrege (1848–1925) contributed to semantics on many different levels. Frege first introduced the distinction between...
logician GottlobFrege in the course of one of the earliest systematic discussions of indexicals. A number of philosophers picking up on Frege's discussion...
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