Frege , (Friedrich Ludwig) Gottlob
(1848–1925) German philosopher and mathematician
Born at Wismar (now in Germany), Frege studied at the universities of Jena and Göttingen, where he obtained his PhD in 1873. He then returned to Jena as a lecturer, where he remained for the rest of his working life, rising to the position of professor in 1896. In a series of seminal works Frege laid the foundations of modern mathematical logic, transforming logic with an understanding of and notation for the problem of multiple generality – propositions containing predicates, quantifiers, and variables – and showing how the basic concepts and operations of mathematics could be formalized. He also revolutionized modern philosophy through his influence on the philosophy of language. However Frege's work was almost completely ignored, misunderstood, or treated with hostility by his contemporaries – notable exceptions were Bertrand Russell and Giuseppe Peano.
In his first major work, Begriffsschrift (Concept Writing, 1879), he provided a new formalism containing an adequate symbolism and an axiomatic base for the rigorous derivation of both propositional and predicate logic. While a few workers, such as the American C.S. Pierce, had been moving in this direction, their work was completely overshadowed by the comprehensive nature of Frege's work.
In Die Grundlagen der Arithmetik (1884; The Foundations of Arithmetic) Frege gave a formal definition of cardinal number and showed how basic properties of numbers could be logically derived from it. In Grundgesetze der Arithmetik (1893 and 1903; Basic Laws of Arithmetic) he went further in attempting to derive arithmetic from formal logic. The Grundgesetze is still regarded as a massive achievement, but his main aim was doomed to failure. On the eve of the publication of the second volume Russell wrote to Frege pointing out a contradiction – Russell's paradox – that could be derived from his system. This, as Frege acknowledged, vitiated his whole project.

Scientists. . 2011.

Look at other dictionaries:

  • Frege, (Friedrich Ludwig) Gottlob — (8 nov. 1848, Wismar, Mecklenburg Schwerin–26 jul. 1925, Bad Kleinen, Alemania). Matemático y lógico alemán, inventor de la lógica matemática moderna y uno de los fundadores de la tradición de la filosofía analítica. Enseñó en la Universidad de… …   Enciclopedia Universal

  • Frege, (Friedrich Ludwig) Gottlob — born Nov. 8, 1848, Wismar, Mecklenburg Schwerin died July 26, 1925, Bad Kleinen, Ger. German mathematician and logician, inventor of modern mathematical logic and one of the founders of the analytic tradition in philosophy. He taught at the… …   Universalium

  • Friedrich Ludwig Gottlob Frege — Gottlob Frege Gottlob Frege Philosophe allemand Période Contemporaine Naissance : 8 novembre 1848 (Wismar) Décès  …   Wikipédia en Français

  • Ludwig Gottlob Frege — Gottlob Frege Friedrich Ludwig Gottlob Frege (* 8. November 1848 in Wismar; † 26. Juli 1925 in Bad Kleinen) war ein deutscher Mathematiker, Logiker und Philosoph. Seine herausragende Leistung auf dem Gebiet der Logik besteht darin, als erster… …   Deutsch Wikipedia

  • Frege — (Friedrich Ludwig) Gottlob …   Scientists

  • Gottlob Frege — (1878) Friedrich Ludwig Gottlob Frege (* 8. November 1848 in Wismar; † 26. Juli 1925 in Bad Kleinen) war ein deutscher Logiker, Mathematiker und Philosoph. Seine herausragende Leistung auf dem Gebiet der Logik besteht darin, als erster eine …   Deutsch Wikipedia

  • Ludwig — Ludwig, Emil Ludwig, Karl Friedrich Ludwig, Otto * * * (as used in expressions) Beck, Ludwig Beethoven, Ludwig van Boltzmann, Ludwig (Eduard) Erhard, Ludwig Feuerbach, Ludwig (Andreas) Fraenkel Conrat, Heinz L(udwig) Frege, (Friedrich Ludwig)… …   Enciclopedia Universal

  • Frege — Frege,   Friedrich Ludwig Gottlob, Mathematiker, Logiker und Philosoph, * Wismar 8. 11. 1848, ✝ Bad Kleinen 26. 7. 1925; studierte Mathematik, Physik, Chemie und Philosophie in Jena und Göttingen (1869 71); seit 1879 Professor der Mathematik in… …   Universal-Lexikon

  • Gottlob Frege — Infobox Philosopher region = Western Philosophy era = 19th century philosophy, color = #B0C4DE image caption = Friedrich Ludwig Gottlob Frege name = Friedrich Ludwig Gottlob Frege birth = November 8, 1848 death = 26 July, 1925 school tradition =… …   Wikipedia

  • Friedrich — /free drik/; Ger. /frddee drddikh/, n. a male given name. * * * (as used in expressions) Friedrich Leopold Baron von Hardenberg Baeyer Johann Friedrich Wilhelm Adolf von Beilstein Friedrich Konrad Benz Karl Friedrich Bernhardi Friedrich von… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”