Gottlob Frege


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Frege, Gottlob

(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 logicsymbolic logic
or mathematical logic,
formalized system of deductive logic, employing abstract symbols for the various aspects of natural language. Symbolic logic draws on the concepts and techniques of mathematics, notably set theory, and in turn has contributed to
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, 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).

Bibliography

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).

Frege, Gottlob

 

Born Nov. 8, 1848, in Wismar; died July 26, 1925, in Bad Kleinen. German logician.

Frege received his Ph.D. from the University of Göttingen in 1873. He was a professor at the University of Jena from 1879 to 1918. Frege’s principal work was The Fundamental Laws of Arithmetic (vols. 1–2, 1893–1903), in which he proposed a system of formalized arithmetic based on a second-order predicate calculus that he developed. His intention was to provide a substantiation of the notion of the reducibility of mathematics to logic (seeLOGICISM).

REFERENCES

Biriukov, B. V. “O rabotakh Frege po filosofskim voprosam matematiki.” In the collection Filosofskie voprosy estestvoznaniia, fasc. 2. Moscow, 1959.
Stiazhkin, N. I. Formirovanie matematicheskoi logiki. Moscow, 1967. (Contains bibliography.)

Gottlob Frege

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Gottlob Frege

(person, history, philosophy, mathematics, logic, theory)
(1848-1925) A mathematician who put mathematics on a new and more solid foundation. He purged mathematics of mistaken, sloppy reasoning and the influence of Pythagoras. Mathematics was shown to be a subdivision of formal logic.

References in periodicals archive ?
Este cambio trascendental para la logica, como mencionamos mas arriba, se lo debemos a Gottlob Frege. Si bien Edmund Husserl (1859-1938), califica a Frege como un "excentrico de ingenio agudo pero que ni como matematico ni como filosofo se trataba de alguien originalmente productivo" (8) (Gabriel et al.
Mientras que en el calculo de predicados iniciado por Gottlob Frege, el argumento no es la totalidad del silogismo, la union de premisas y conclusion, sino simplemente el numero, en el caso de la expresion matematica,y el nombre, en el de las expresiones del lenguaje ordinario, que reemplaza a la variable x.
(3.) Gottlob Frege, The Foundations of Arithmetic, trans.
Resumen: Gottlob Frege sostuvo que las palabras-concepto solo se refieren a conceptos no a objetos y que los terminos singulares se refieren solo a objetos no a conceptos.
Epistemology and truth claims, in turn, were to be constructed according to the descriptivist theories of language first proposed by Gottlob Frege and Bertrand Russell and then developed further by such figures as Anthony Flew and R.
Asi, si profiero la oracion: "el autor de Conceptografia nacio en Wismar" en un ciclo de conferencias sobre Gottlob Frege, la referencia de "el autor de Conceptografia" es un objeto en el sentido fregeano y la del predicado "...
Taking as his point of departure Gottlob Frege's contention that the truth-status of Odysseus "'is a matter of no concern to us'" (1), Paige recounts traditional explanations for the ways in which literature would come to tell stories about protagonists who never existed.
(1.) Con su claridad habitual, Gottlob Frege despacha el argumento ontologico en un apendice de dos paginas que aparece en la obra reciente de Erick H.
Though Gottlob Frege (1848-1925) is considered the greatest logician since Aristotle, says Kanterian (philosophy, U.
The book edited by Lee provides an introduction to 12 modern key thinkers in--or influencing--the field of philosophy in general, and the philosophy of language in particular: Gottlob Frege, Bertrand Russell, Ludwig Wittgenstein (two separate chapters), Rudolf Carnap, John L.
Como otros, fui especialmente privilegiado en conocer no solo al estudioso y al filosofo (experto en filosofia e historia griega, en Gottlob Frege, en temas de etica contemporanea, de etica de la ley natural, y en bioetica), sino tambien a la persona.
Translations from the Philosophical Writings of Gottlob Frege. Oxford: Blackwell.