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This describes the “collaborative distance” between a person and Paul Erdős, as measured by joint authorship of mathematical papers. In the later nineteenth century, Georg Cantor established the first foundations of set theory, which enabled the rigorous therapy of the notion of infinity and has turn out to be the widespread language of practically all mathematics. Cantor’s set principle, and the rise of mathematical logic within the hands of Peano, L.E.J. Brouwer, David Hilbert, Bertrand Russell, and A.N.

Beginning in the sixth century BC with the Pythagoreans, the Ancient Greeks started a scientific study of arithmetic as a topic in its personal right with Greek mathematics. Around 300 BC, Euclid launched the axiomatic technique still utilized in mathematics at present, consisting of definition, axiom, theorem, and proof. His textbook Elements is widely thought of essentially the most profitable and influential textbook of all time. The biggest …