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In logic, the second downside on David Hilbert’s record of open problems introduced in 1900 was to prove that the axioms of arithmetic are consistent. In graph principle, much research was motivated by attempts to show the four color theorem, first stated in 1852, but not proved till 1976 (by Kenneth Appel and Wolfgang Haken, utilizing substantial computer assistance). The history of discrete mathematics has involved a selection of difficult problems which have targeted attention inside areas of the field. Discrete geometry and combinatorial geometry are about combinatorial properties of discrete collections of geometrical objects.
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