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Rene Descartes, nativism is the idea people are born with ideas, rationalism is defined as reason is the only valid basis for action or belief, rationalism was rejected by John Locke, John Locke admired Descartes' mechanistic physical analyses, dualism is defined as a division between mind and body, Gottfried Leibniz disagreed with Descartes' mechanistic physical analyses, a "new" method of acquiring knowledge involved utilizing a geometry-like mode of reasoning, analytic geometry is a branch of mathematics, a "new" method of acquiring knowledge enabled him to invent analytic geometry, Descartes contributed to physical sciences