The Frege-Hilbert Controversy

The Stanford Encyclopedia of Philosophy (2007)
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Abstract

In the early years of the twentieth century, Gottlob Frege and David Hilbert, two titans of mathematical logic, engaged in a controversy regarding the correct understanding of the role of axioms in mathematical theories, and the correct way to demonstrate consistency and independence results for such axioms. The controversy touches on a number of difficult questions in logic and the philosophy of logic, and marks an important turning-point in the development of modern logic. This entry gives an overview of that controversy and of its philosophical underpinnings.

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Author's Profile

Patricia Blanchette
University of Notre Dame

Citations of this work

Walter Dubislav’s Philosophy of Science and Mathematics.Nikolay Milkov - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (1):96-116.
A Formal Explication of Blanchette's Conception of Fregean Consequence.Günther Eder - 2023 - History and Philosophy of Logic 44 (3):287-310.

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