@MISC{Simpson08thehilbert, author = {Stephen G. Simpson}, title = { The Hilbert problems and Hilbert’s Program}, year = {2008} }

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Abstract

In 1900 the great mathematician David Hilbert laid down a list of 23 mathematical problems [32] which exercised a great influence on subsequent mathematical research. From the perspective of foundational studies, it is noteworthy that Hilbert’s Problems 1 and 2 are squarely in the area of foundations of mathematics, while Problems 10 and 17 turned out to be closely related to mathematical logic.