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date: 03 April 2020

Abstract and Keywords

Gottlob Frege (1848–1925) made significant contributions to pure mathematics and philosophy. His most important technical contribution, of both mathematical and philosophical significance, is the introduction of a formal system of quantified logic. His work of a more purely-philosophical kind includes the articulation and persuasive defense of anti-psychologism in mathematics and logic, the rigorous pursuit of the thesis that arithmetic is reducible to logic, and the introduction of the distinction between sense and reference in the philosophy of language. Frege’s work has gone on to influence contemporary work across a broad spectrum, including the philosophy of mathematics and logic, the philosophy of language, and the philosophy of mind. The chapter describes the historical development of Frege’s central views, and the connections between those views.

Keywords: Frege, logic, logicism, language, mathematics, quantifier, analyticity, paradox, proof, sense

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