1596-1650. French mathematician and philosopher. He believed that commonly accepted knowledge was doubtful because of the subjective nature of the senses, and attempted to rebuild human knowledge using as his foundation `cogito ergo sum' (`I think, therefore I am'). He also believed that the entire material universe could be explained in terms of mathematical physics. He is regarded as the discoverer of analytical geometry and the founder of the science of optics, and also helped to shape contemporary theories of astronomy and animal behaviour. Born near Tours, Descartes served in the army of Prince Maurice of Orange, and in 1619, while travelling through Europe, decided to apply the methods of mathematics to metaphysics and science. He settled in the Netherlands in 1628, where he was more likely to be free from interference by the ecclesiastical authorities. In 1649 he visited the court of Queen Christina of Sweden, and shortly thereafter he died in Stockholm. His works include Discourse on Method 1637, Meditations on the First Philosophy 1641, and Principles of Philosophy 1644, and numerous books on physiology, optics, and geometry. Coordinate geometry, as a way of defining and manipulating geometrical shapes by means of algebraic expressions, was determined by Leibniz, and only later called Cartesian coordinates in honour of Descartes. Descartes identified the `thinking thing' (res cogitans) or mind with the human soul or consciousness; the body, though somehow interacting with the soul, was a physical machine, secondary to, and in principle separable from, the soul. He held that everything has a cause; nothing can result from nothing. He believed that, although all matter is in motion, matter does not move of its own accord; the initial impulse comes from God. He also postulated two quite distinct substances - spatial substance, or matter, and thinking substance, or mind. This is called `Cartesian dualism', and it preserved him from serious controversy with the church.