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This Concept Map, created with IHMC CmapTools, has information related to: Rene Descartes 9, rationalism is defined as reason is the only valid basis for action or belief, nativism was rejected by John Locke, a "new" method of acquiring knowledge was adapted from Euclidean geometry, Descartes lived from 1596 to 1650, a "new" method of acquiring knowledge enabled him to invent analytic geometry, analytic geometry is a branch of mathematics, rationalism was studied with interest by Gottfried Leibniz, Descartes contributed to mathematics, Descartes contributed to physical sciences, dualism is defined as a division between mind and body, nativism is the idea people are born with ideas, Descartes contributed to the philosophies, dualism was rejected by John Locke, the philosophies of Descartes included dualism, the philosophies of Descartes included rationalism, Gottfried Leibniz disagreed with Descartes' mechanistic physical analyses, a geometry-like mode of reasoning could be applied to other fields of knowledge, the philosophies of Descartes included nativism, nativism was studied with interest by Gottfried Leibniz, rationalism was rejected by John Locke