Friedrich Ludwig Gottlob Frege
(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 University of Jena from 1871 to 1917. His
Begriffsschrift (1879, "Conceptscript"), was the first presentation of a system of mathematical logic in the modern sense. Using an original notation of quantifiers and variables, he was able to give formal expression to sentences containing multiple quantification, such as "Everybody loves someone"; this is impossible in the
syllogistic derived from
Aristotle, which had been considered complete until the time of
Immanuel Kant (
see predicate calculus). In the
Die Grundlagen der Arithmetik he attempted to establish the doctrine later known as
logicism. He also made significant contributions to the
philosophy of language, including a highly influential theory of the distinction between sense and reference. Though Frege's work was admired by
Bertrand Russell and the early
Ludwig Wittgenstein, it was unknown to or ignored by most other philosophers and mathematicians during Frege's lifetime; its significance was not generally appreciated until the mid-20th century.
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