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David Hilbert made significant contributions to mathematics, notably in the fields of algebra, geometry, and mathematical logic. He is famous for formulating Hilbert's problems, a set of 23 unsolved problems that guided much of 20th-century research. Additionally, he developed Hilbert space theory, which became fundamental in functional analysis and quantum mechanics. His work on formalism in mathematics also laid the groundwork for modern mathematical logic and the foundations of mathematics.

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