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?Analysis' was first used in a methodological sense in ancient Greek geometry, and the model that Euclidean geometry provided has been an inspiration ever since. Although Euclid's Elements dates from around 300 BC, and hence after both Plato and Aristotle, it is clear that it draws on the work of many previous geometers, most notably, Theaetetus and Eudoxus, who worked closely with Plato and Aristotle. Plato is even credited by Diogenes Laertius (LEP, I, 299) with inventing the method of analysis, but whatever the truth of this may be, the influence of geometry starts to show in his middle dialogues, and he certainly encouraged work on geometry in his Academy...
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