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The Princeton Companion to Mathematics by Imre Leader, June Barrow-Green, Timothy Gowers

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VI.56 Gottlob Frege

b. Wismar, Germany, 1848; d. Bad Kleinen, Germany, 1925Logic; foundations of mathematics, paradox

Frege was a precursor of modern logic, in that many of the hallmarks of contemporary logic appear first in his writing. His work has also been singularly influential outside the foundations of mathematics, especially in the philosophy of language.

Frege was trained at Jena and Göttingen, receiving a Ph.D. under Ernst Schering in 1873. His Ph.D. thesis addressed the spatial representation of imaginary elements in geometry, and his 1874 Habilitation essay at Jena worked out some basic details of what we would now call “iteration theory.” Though his early work gave no obvious sign of the revolutionary work to come, with hindsight ...

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