Internet Encyclopedia of Philosophy (2001)

Authors
Kevin Klement
University of Massachusetts, Amherst
Abstract
Gottlob Frege (1848-1925) was a German logician, mathematician and philosopher who played a crucial role in the emergence of modern logic and analytic philosophy. Frege's logical works were revolutionary, and are often taken to represent the fundamental break between contemporary approaches and the older, Aristotelian tradition. He invented modern quantificational logic, and created the first fully axiomatic system for logic, which was complete in its treatment of propositional and first-order logic, and also represented the first treatment of higher-order logic. In the philosophy of mathematics, he was one of the most ardent proponents of logicism, the thesis that mathematical truths are logical truths, and presented influential criticisms of rival views such as psychologism and formalism. His theory of meaning, especially his distinction between the sense and reference of linguistic expressions, was groundbreaking in semantics and the philosophy of language. He had a profound and direct influence on such thinkers as Russell, Carnap and Wittgenstein. Frege is often called the founder of modern logic, and he is sometimes even heralded as the founder of analytic philosophy.
Keywords Frege  sense  logic  philosophy of mathematics
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References found in this work BETA

Naming and Necessity.Saul Kripke - 2003 - In John Heil (ed.), Philosophy of Mind: A Guide and Anthology. Oxford University Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - Princeton: Princeton University Press.
Frege: Philosophy of Language.Michael Dummett - 1973 - Philosophy 49 (190):438-442.

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Formality of Logic and Frege’s Begriffsschrift.Daniele Mezzadri - 2019 - Canadian Journal of Philosophy 49 (2):182-207.

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