Question: The person coming up with the cartesian coordinate system lived from what year to what year?

full_context: Document 1: Bézier curve: The mathematical basis for Bézier curves—the Bernstein polynomial—had been known since 1912, but the polynomials were not applied to graphics until some 50 years later, when they were widely publicised by the French engineer Pierre Bézier, who used them to design automobile bodies at Renault.  The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau's algorithm, a numerically stable method to evaluate Bézier curves at Citroën, another French automaker.
Document 2: Age of Enlightenment: There is little consensus on the precise beginning of the Age of Enlightenment; the beginning of the 18th century (1701) or the middle of the 17th century (1650) are often used as epochs. French historians usually place the period, called the Siècle des Lumières (Century of Enlightenments), between 1715 and 1789, from the beginning of the reign of Louis XV until the French Revolution. If taken back to the mid-17th century, the Enlightenment would trace its origins to Descartes' Discourse on Method, published in 1637. In France, many cited the publication of Isaac Newton's Principia Mathematica in 1687. It is argued by several historians and philosophers that the beginning of the Enlightenment is when Descartes shifted the epistemological basis from external authority to internal certainty by his cogito ergo sum published in 1637. As to its end, most scholars use the last years of the century, often choosing the French Revolution of 1789 or the beginning of the Napoleonic Wars (1804–15) as a convenient point in time with which to date the end of the Enlightenment.
Document 3: Cartesian coordinate system: The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2, centered at the origin of the plane, may be described as the set of all points whose coordinates x and y satisfy the equation x + y = 4.
Document 4: Bézier curve: The mathematical basis for Bézier curves—the Bernstein polynomial—had been known since 1912, but the polynomials were not applied to graphics until some 50 years later, when they were widely publicised by the French engineer Pierre Bézier, who used them to design automobile bodies at Renault. The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau's algorithm, a numerically stable method to evaluate Bézier curves at Citroën, another French automaker.
Document 5: Vacuum: Almost two thousand years after Plato, René Descartes also proposed a geometrically based alternative theory of atomism, without the problematic nothing–everything dichotomy of void and atom. Although Descartes agreed with the contemporary position, that a vacuum does not occur in nature, the success of his namesake coordinate system and more implicitly, the spatial–corporeal component of his metaphysics would come to define the philosophically modern notion of empty space as a quantified extension of volume. By the ancient definition however, directional information and magnitude were conceptually distinct. With the acquiescence of Cartesian mechanical philosophy to the "brute fact" of action at a distance, and at length, its successful reification by force fields and ever more sophisticated geometric structure, the anachronism of empty space widened until "a seething ferment" of quantum activity in the 20th century filled the vacuum with a virtual pleroma.
Document 6: Materialism: The French cleric Pierre Gassendi (1592-1665) represented the materialist tradition in opposition to the attempts of René Descartes (1596-1650) to provide the natural sciences with dualist foundations. There followed the materialist and atheist abbé Jean Meslier (1664-1729), Julien Offray de La Mettrie, the German-French Paul-Henri Thiry Baron d'Holbach (1723-1789), the Encyclopedist Denis Diderot (1713-1784), and other French Enlightenment thinkers; as well as (in England) John "Walking" Stewart (1747-1822), whose insistence in seeing matter as endowed with a moral dimension had a major impact on the philosophical poetry of William Wordsworth (1770-1850).
Document 7: History of science: In mathematics, the Persian mathematician Muhammad ibn Musa al-Khwarizmi gave his name to the concept of the algorithm, while the term algebra is derived from al-jabr, the beginning of the title of one of his publications. What is now known as Arabic numerals originally came from India, but Muslim mathematicians did make several refinements to the number system, such as the introduction of decimal point notation. Sabian mathematician Al-Battani (850-929) contributed to astronomy and mathematics, while Persian scholar Al-Razi contributed to chemistry and medicine.
Document 8: Age of Enlightenment: French historians traditionally place the Enlightenment between 1715, the year that Louis XIV died, and 1789, the beginning of the French Revolution. Some recent historians begin the period in the 1620s, with the start of the scientific revolution. The Philosophes, the French term for the philosophers of the period, widely circulated their ideas through meetings at scientific academies, Masonic lodges, literary salons and coffee houses, and through printed books and pamphlets. The ideas of the Enlightenment undermined the authority of the monarchy and the church, and paved the way for the revolutions of the 18th and 19th centuries. A variety of 19th-century movements, including liberalism and neo-classicism, trace their intellectual heritage back to the Enlightenment.
Document 9: Descartes' rule of signs: In mathematics, Descartes' rule of signs, first described by René Descartes in his work "La Géométrie", is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting the zero coefficients), and that the difference between these two numbers is always even. This implies in particular that, if this difference is zero or one, then there is exactly zero or one positive root, respectively.
Document 10: Materialism: The German materialist and atheist anthropologist Ludwig Feuerbach would signal a new turn in materialism through his book, The Essence of Christianity (1841), which provided a humanist account of religion as the outward projection of man's inward nature. Feuerbach's materialism would later heavily influence Karl Marx.
Document 11: Age of Enlightenment: A number of novel ideas about religion developed with the Enlightenment, including Deism and talk of atheism. Deism, according to Thomas Paine, is the simple belief in God the Creator, with no reference to the Bible or any other miraculous source. Instead, the Deist relies solely on personal reason to guide his creed, which was eminently agreeable to many thinkers of the time. Atheism was much discussed, but there were few proponents. Wilson and Reill note that, "In fact, very few enlightened intellectuals, even when they were vocal critics of Christianity, were true atheists. Rather, they were critics of orthodox belief, wedded rather to skepticism, deism, vitalism, or perhaps pantheism." Some followed Pierre Bayle and argued that atheists could indeed be moral men. Many others like Voltaire held that without belief in a God who punishes evil, the moral order of society was undermined. That is, since atheists gave themselves to no Supreme Authority and no law, and had no fear of eternal consequences, they were far more likely to disrupt society. Bayle (1647–1706) observed that in his day, "prudent persons will always maintain an appearance of [religion].". He believed that even atheists could hold concepts of honor and go beyond their own self-interest to create and interact in society. Locke said that if there were no God and no divine law, the result would be moral anarchy: every individual "could have no law but his own will, no end but himself. He would be a god to himself, and the satisfaction of his own will the sole measure and end of all his actions".
Document 12: Cartesian oval: In geometry, a Cartesian oval, named after René Descartes, is a plane curve, the set of points that have the same linear combination of distances from two fixed points.
Document 13: Materialism: Some modern day physicists and science writers—such as Paul Davies and John Gribbin—have argued that materialism has been disproven by certain scientific findings in physics, such as quantum mechanics and chaos theory. In 1991, Gribbin and Davies released their book The Matter Myth, the first chapter of which, "The Death of Materialism", contained the following passage:
Document 14: Humanism: Davies identifies Paine's The Age of Reason as "the link between the two major narratives of what Jean-François Lyotard calls the narrative of legitimation": the rationalism of the 18th-century Philosophes and the radical, historically based German 19th-century Biblical criticism of the Hegelians David Friedrich Strauss and Ludwig Feuerbach. "The first is political, largely French in inspiration, and projects 'humanity as the hero of liberty'. The second is philosophical, German, seeks the totality and autonomy of knowledge, and stresses understanding rather than freedom as the key to human fulfilment and emancipation. The two themes converged and competed in complex ways in the 19th century and beyond, and between them set the boundaries of its various humanisms. Homo homini deus est ("The human being is a god to humanity" or "god is nothing [other than] the human being to himself"), Feuerbach had written.
Document 15: Mind–body dualism: Dualism is closely associated with the thought of René Descartes (1641), which holds that the mind is a nonphysical -- and therefore, non-spatial -- substance. Descartes clearly identified the mind with consciousness and self - awareness and distinguished this from the brain as the seat of intelligence. Hence, he was the first to formulate the mind -- body problem in the form in which it exists today. Dualism is contrasted with various kinds of monism. Substance dualism is contrasted with all forms of materialism, but property dualism may be considered a form of emergent materialism or non-reductive physicalism in some sense.
ground_truth: 1596-1650
sub_queries: who came up with the cartesian coordinate system Answer: René Descartes
René Descartes lived from what year to what year? Answer: 1596-1650