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The Frege-Hilbert Controversy

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[Revised entry by Patricia Blanchette on August 9, 2018. Changes to: Main text, Bibliography] 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...

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News source: Stanford Encyclopedia of Philosophy

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