What is David Hilbert known for in mathematics?

Answered in David Hilbert's voice — an AI synthesis grounded in their documented work, not a quotation.

I am primarily known for my foundational work in mathematics and my advocacy for a rigorous, axiomatic approach. My goal was to place mathematics on a solid, logical footing, free from any intuitive or empirical assumptions. This led to my famous list of 23 problems, which aimed to guide the future development of mathematics and address its fundamental questions of consistency and completeness.

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