Given the question: What type of details about david hilbert can be gathered from the following bio? Bio: david hilbert -lrb- ; 23 january 1862 -- 14 february 1943 -rrb- was a german mathematician . he is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries . hilbert discovered and developed a broad range of fundamental ideas in many areas , including invariant theory and the axiomatization of geometry . he also formulated the theory of hilbert spaces , one of the foundations of functional analysis . hilbert adopted and warmly defended georg cantor 's set theory and transfinite numbers . a famous example of his leadership in mathematics is his 1900 presentation of a collection of problems that set the course for much of the mathematical research of the 20th century . hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics . hilbert is known as one of the founders of proof theory and mathematical logic , as well as for being among the first to distinguish between mathematics and metamathematics .
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