#MathsInMinutes Day 30: Hilberts Problem
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Hilbert´s problems are a list of 23 mathematical research problems set out by David Hilbert at the 1900 International Congress of Mathematics in Paris. He considered them to be key to the development of mathematics in the 20th century.
Throughout the 1800s, the axiomatic system, first used by Euclid of Alexandria had been applied in many new areas. Mathematicians had developed methods for finding the defining axioms of the area being studied, for example in geometry, points, lines, curves and their properties, and then developing the subject from these axioms through logic.
Many of Hilbert´s problems related to the extension of the axiomatic method, and their solutions advanced mathematics significantly, although the work of Kurt Gödel soon changed the way axiomatic theories themselves were viewed. They also established a fashion for setting lists of mathematical puzzles that continues to this day.
“History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profit-less and replaces by new ones.”
David Hilbert
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