René Descartes was a French mathematician, scientist, and philosopher born in 1596 in France and died in 1650 in Sweden. He is considered the father of modern philosophy for abandoning Aristotelianism and formulating mind-body dualism. He also promoted new science based on observation and experimentation. One of Descartes' most important legacies was developing Cartesian geometry which uses algebra to describe geometry. He invented representing unknowns with variables like x, y, z and knowns with letters like a, b, c. He also pioneered using exponents to show powers like x4. Descartes believed algebra was a method to automate reasoning, particularly about unknown quantities.