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 ?
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.
In Chapter 1 Michael Beaney presents the achievement of Gottlob Frege.
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.
Frege, Gottlob (1970 [1892]), "On Sense and Reference," in Translations from the Philosophical Writings of Gottlob Frege, ed.
41) Gottlob Frege, Begriffsschrift, (Halle, 1879), xi-xii.
Next year Russell wrote to Gottlob Frege of his paradox which showed that the axioms Frege was using to formalize his logic were inconsistent (cf.
A reader enters the book through two prologue poems, "Monologue for Some Prince of Denmark" and "Kublai Kahn Departs from Xanadu," the first offering a philosophy of language, the second a philosophy of living, including Einstein, Chaplin, Marco Polo, and Gottlob Frege in the discussion.
Psychologism, as a fallacy threatening the objective necessity of logic, was first identified by Gottlob Frege.
And indeed it is, having been debated by philosophers since the turn of the twentieth century, when pioneers of analytic philosophy such as Alexis Meinong, Gottlob Frege, and Bertrand Russell took sides on a question that, if truth be told, is still batted around by philosophers more as a way of testing competing theories of meaning and truth than from any burning interest in literary writing as such.
10) The two expressions share their reference in the same way Gottlob Frege offers his example of the "morning star" and "evening star" as two distinct expressions of the same reference (Bedeutung).
El problema de la naturaleza de la verdad ha sido objeto de intenso debate en la tradicion analitica en los ultimos cincuenta anos en gran medida debido a los trabajos de Gottlob Frege y Alfred Tarski, particularmente de este ultimo.