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(Add figures explaining his planetary model and a reference) 

==Mathematics<!Linked from 'Galileo Galilei'>==
Eudoxus is considered by some to be the greatest of [[Classical Greececlassical Greek]] mathematicians, and in all [[Ancient Greeceantiquity]] second only to [[Archimedes]].<ref name=calinger>{{Cite book last=Calinger first=Ronald title=Classics of Mathematics publisher=Moore Publishing Company, Inc. year=1982 location=Oak Park, Illinois page=75 isbn=0935610138}}</ref> He rigorously developed [[
Eudoxus introduced the idea of nonquantified mathematical [[Magnitude (mathematics)magnitude]] to describe and work with continuous geometrical entities such as lines, angles, areas and volumes, thereby avoiding the use of [[irrational number]]s. In doing so, he reversed a [[PythagoreanismPythagorean]] emphasis on number and arithmetic, focusing instead on geometrical concepts as the basis of rigorous mathematics. Some Pythagoreans, such as Eudoxus' teacher [[Archytas]], had believed that only arithmetic could provide a basis for proofs. Induced by the need to understand and operate with [[Commensurability (mathematics)incommensurable]] quantities, Eudoxus established what may have been the first deductive organization of mathematics on the basis of explicit [[axiom]]s. The change in focus by Eudoxus stimulated a divide in mathematics which lasted two thousand years. In combination with a Greek intellectual attitude unconcerned with practical problems, there followed a significant retreat from the development of techniques in arithmetic and algebra.<ref name="Kline" />

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