Rene Descartes

Rene Descartes was born March 31, 1596 in La Haye, Touraine. Descartes was the son of a minor nobleman and belonged to a family that had produced a number of learned men. At the age of eight, he was enrolled in the Jesuit school of La Fleche in Anjou, where he remained for eight years. Besides the usual classical studies, he received instruction in math and in Scholastic philosophy. Roman Catholicism exerted a strong influence on Descartes throughout his life. Upon graduation from school, he studied law at the University of Poitiers, graduating in 1616. He never practiced law, however--in 1618 he entered the service of Prince Maurice of Nassau at Breda, Netherlands, with the intention of following a military career. In succeeding years Descartes served in other armies, but his attention had already been attracted to the problems of mathematics and philosophy to which he was to devote the rest of his life. He made a pilgrimage to Italy in 1623-24, and spent the years from 1624 to 1628 in France. While in France, he devoted himself to the study of philosophy and also experimented in optics. In 1628, having sold his properties in France, he moved to the Netherlands, where he spent most of the rest of his life. He lived for varying periods in a number of different cities in the Netherlands, including Amsterdam, Deventer, Utrecht, and Leiden.
It was probably during the first years of his residence in the Netherlands that Descartes wrote his first major work, Essais philosophiques, published in 1637. The work contained four parts: an essay on geometry, another on optics, a third on meteors, and Discours de la methode (Discourse on Method), which described his philosophical theories. This was followed by other philosophical works, among them Meditationes de Prima Philosophia (Meditations on First Philosophy, 1641) and Principia Philosophiae (The Principles of Philosophy, 1644). The latter volume was dedicated to Princess Elizabeth Stuart of Bohemia, who lived in the Netherlands and with whom Descartes had formed a deep friendship. In 1649, Descartes was invited to the court of Queen Christina of Sweden in Stockholm to give the queen instruction in philosophy. The rigors of the northern winter brought on the pneumonia that caused his death on February 1, 1650.
The most notable contribution that Descartes made to mathematics was the systematization of analytic geometry. He was the first mathematician to attempt to classify curves according to the types of equations that produce them. He also made contributions to the theory of equations and succeeded in proving the impossibility of trisecting the angle and doubling the cube. Descartes was the first to use the last letters of the alphabet to designate unknown quantities and the first letters to represent the known ones. He also invented the “method of indices” to express the powers of numbers. In addition, he formulated the rule, which is known as Descartes’ rule of signs, for finding the number of positive and negative roots for any algebraic equation.
Descartes’ philosophy, sometimes called Cartesians, carried him into elaborate and erroneous explanations of a number of physical phenomena. These explanations, however, had value, because he substituted a system of mechanical interpretations of physical phenomena for the vague spiritual concepts of most earlier writers. Although he had at first been inclined to accept the theory proposed by Copernicus regarding the universe as a heliocentric one, he abandoned this theory when it was pronounced heretical by the Roman Catholic church. In its place he devised a theory of vortices in which space was entirely filled with matter, in various states, whirling about the sun. In the field of physiology, Descartes held that part of the blood was a “subtle fluid,” which he called animal spirits. He believed the animal spirits came into contact with “thinking substances” in the brain and flowed out along the channels of the nerves to animate the muscles and other parts of the body. His study of optics led him to the independent discovery of the fundamental law of reflection: that the angle of incidence is equal to the angle of reflection. His essay on optics was the first published statement of this law. Descartes’ treatment of light as a type of pressure in a solid medium paved the way for the “undulatory theory of