This dimension sorts a branch of mathematics by whether it is pursued for its own sake or for outside use. Wikipedia describes pure mathematics as "the study of mathematical concepts independently of any application outside mathematics," a pursuit driven by curiosity rather than a practical problem. Browsing this way separates branches built for their own beauty from branches built to solve something else.
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Era Of Emergence Pure Mathematics
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Sources
1. Wikipedia: Topology
Wikimedia FoundationHistory sectionQuote, History section
In 1895, he published his ground-breaking paper on Analysis Situs, which introduced the concepts now known as homotopy and homology, which are now considered part of algebraic topology.
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