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The Evolution of Geometry
There can be unintended interpretations of rules and concepts in different fields such as mathematics and geometry./nNon-Euclidean geometries challenge the notion of a single natural world of geometry./nThe surface of the earth is an example of a non-Euclidean space./nWriting down a definition or set of rules does not necessarily capture the entirety of a concept or system./nDifferent models and interpretations of set theory can lead to conflicting mathematical statements./nUnderstanding the necessary axioms to prove theorems is essential in mathematical logic.