|This is a file in the archives of the Stanford Encyclopedia of Philosophy.|
Descartes was born in La Haye on March 31, 1596 of Joachim Descartes and Jeanne Brochard. He was one of a number of surviving children (two siblings and two half-siblings). His father was a lawyer and magistrate, which apparently left little time for family. Descartes's mother died in May of the year following his birth, and he, his full brother and sister, Pierre and Jeanne, were left to be raised by their grandmother in La Haye. At around ten years of age, in 1606, he was sent to the Jesuit college of La Fleche. He studied there until 1614, and in 1615 entered the University of Poitiers, where a year later he received his Baccalaureate and License in Cannon & Civil Law.
In 1618, at the age of twenty-two, he enlisted in the army of Prince Maurice of Nassau. It is not known what his duties were exactly, though Baillet suggests that he would have very likely been drawn to what would now be called the Corps of Engineers (Baillet, Livre 1, Chapitre 9, p. 41). This division would have engaged in applied mathematics, designing a variety of structures and machines aimed at protecting and assisting soldiers in battle. Sorell, on the other hand, notes that in Breda, where Descartes was stationed, the army "doubled as military academy for young noblemen on the Continent" (Sorell, p. 6). And, Gaukroger notes that the education of the young noblemen was structured around the educational model of Lipsius (1547-1606), a highly respected Dutch political theorist who received a Jesuit education at Cologne (Gaukroger, pp. 65-6). It is likely that the military environment (that is, the academy) at Breda would have reminded Descartes of La Fleche. Though there are reasons for thinking that he may have been a soldier, the majority of biographers argue that it is more likely that his duties were oriented more towards education or engineering.
While stationed at Breda, Descartes met the mathematician Isaac Beeckman (1588-1637). Notes that Descartes kept related to his correspondence reveal that he and Beeckman had become more than simple acquaintances-their relationship was more one of teacher and student (Descartes being the latter). This relationship would rekindle in Descartes an intense interest in the sciences. In addition to discussions about a wide variety of topics in natural science, a direct result of certain questions posed by Beeckman compelled Descartes to write the Compendium Musicae. Among other things, the Compendium attempted to work out a theory of harmony, rooted in the concepts of proportion or ratio, which (along the lines of the ancients) attempted to express the notion of harmony in mathematical terms. It would not be published during Descartes's lifetime. As for Beeckman, Descartes would later downplay his influence.
After Descartes left the army, in 1619, his whereabouts for the next few years are unknown. Based on what he says in the Discours de la Methode (Discourse on the Method), published in 1637, there is speculation that he spent time near Ulm (Descartes apparently attended the coronation of Ferdinand II in Frankfurt in 1619). There is some evidence that would suggest that he was in France in 1622, for it was at this time that property he had inherited was sold-the proceeds of which would provide him a simple income for many years. There is some speculation that between 1623 and 1625 he visited Italy. Descartes emerges in 1625 in Paris, his notes revealing that he was in contact with Father Marin Mersenne (1588-1648), a member of the Order of Minims. This relationship would prompt Descartes to make public his thoughts on natural philosophy (science). It is by way of Mersenne that Descartes's work would find its way into the hands of some of the best minds living in Paris-for instance, Antoine Arnauld (1612-1694), Pierre Gassendi (1592-1655), and Thomas Hobbes (1588-1679).
In 1628 Descartes left Paris. At this time he seems to have been working on the Regulae ad Directionem Ingenii (Rules for the Direction of the Mind), a work that he would abandon, some speculating around the time of the move from Paris. In 1630 he moved to Amsterdam. There he worked on drafts of the Dioptrique (the Optics) and the Meteors (the Meteorology), which were very likely intended to be a part of a larger work, Le Monde (The World). In 1632 he moved again, this time to Deventer, to apparently teach Henry Reneri (1593-1639) his physics. It is also during his stay in Deventer that Descartes probably worked on a final draft of the Traite de l'homme (Treatise on Man), which in connection to the Optics and the Meteorology was probably originally intended to be a part of The World.
When The World had become ready for publication in 1633, upon hearing of the Church's condemnation of Galileo (1564-1642) in the same year, Descartes decided against its publication. For, the world system he had adopted in the book assumed, as did Galileo's, the heliocentric Copernican model. In a letter to Mersenne, dated November 1633, Descartes expresses his fear that were he to publish The World, the same fate that befell Galileo would befall him. And, this is something that he understandably wanted to avoid. The World appears to have been constituted of several smaller, but related, works: a treatise on physics, a treatise on mechanics (machines), a treatise on animals, and a treatise on man. Although much of The World has been lost, some of it seems to have survived in the form of essays attached to the Discourse which, as was mentioned earlier, would be published four years later, in 1637. And, some of it was published posthumously. Arguably, Constantijn Huygens (1596-1687) received what Descartes refers to as "three sheets" of The World, along with a letter dated 5 October 1637. These "sheets" deal primarily with mechanics.
Around 1635, Reneri began to teach "Cartesian" physics. Also during this year, a domestic servant by the name of Helene gave birth to a baby girl, Francine. According to a baptismal record, dated 28 July 1635, Descartes is named the father (AT I 395n). Gaukroger gives the baptismal date as 7 August 1635 (Gaukroger, p. 294). And, Genevieve Rodis-Lewis gives Francine's date of birth as 19 June 1635 (Rodis-Lewis, p. 40). In 1636 Reneri acquired an official chair in Philosophy at the University of Utrecht, and continued to build a following of students interested in Cartesian science. Around March of 1636, at the age of forty, Descartes moved to Leiden to work out the publishing of the Discourse. And, in 1637 it is published. With the Discourse out and a following of students building in Utrecht, Descartes seems to have turned his attention from career to family. In a letter dated 30 August 1637 we find him apparently working out an arrangement for Francine, but strangely refers to her as his "niece"-which suggests that he did not want certain people to know that he was a father. Gaukroger suggests that despite this apparent denial of paternity, Descartes not only corresponds with Francine, but in 1637 brings her and Helene to his new home at Santpoort or Egmond-Binnen (Gaukroger, pp. 294, 332).
The Discourse is the first published work of Descartes's, coming some four years after his abandonment of the publishing of The World. This work is important for many reasons. For instance, it tells us what Descartes himself seems to have thought of his early education, and in particular, his early exposure to mathematics. Roger Ariew suggests that these refletions are not so much those of the historical Descartes, as much as they are those of a personna Descartes adopts in telling the story of the Discourse (Ariew, pp. 58-63). Uncontested, however, is the view that the Discourse sketches out the metaphysical underpinnings of the Cartesian system. And, as a bonus, it has three works that are attached to it that are apparently added so as to exemplify the method of inquiry it develops (though admittedly it is unclear how the method is applied in these essays). The attached essays are the Optics, the Meteorology, and Le Geometrie (the Geometry). As was suggested earlier, the Optics and Meteorology were very likely versions of works originally intended for The World.
It should be stressed that the three attached essays are important independent of the Discourse, for they contain much worth studying. In the Optics, for example, Descartes works out his laws of refraction, and within this context, what would later be called Snell's Law (which Descartes seems to have worked out as early as 1632). Further, although the Geometry would seem to have come out of nowhere, there is evidence in Descartes's notes to himself, from which Clerselier reconstructed some of Descartes's correspondence, that he had been working on some version of it as early as 1619. In a letter to Beeckman, dated 26 March 1619, for example, Descartes discusses the subject matter that is found in the Geometry, and in a letter dated 23 April 1619, he explicitly mentions the book's title. It is in this work that Descartes shows how certain geometrical problems can be solved by way of algebraic equations.
The significance of the sort of connection that Descartes made between geometry and algebra was great indeed, for without it the mathematization of the physics and the development of the calculus might not have happened when they did-a generation later via Sir Isaac Newton (1642-1727). It should be noted, however, that as groundbreaking as this work may be, contrary to the claims of many, nowhere in the Geometry is a "Cartesian Coordinate System" ever developed (that is, the x-y coordinate system taught to today's students of algebra), nor is he the originator of other mathematical concepts that bear his name, for example, the "Cartesian Product". Carl Boyer notes that various concepts that lead to analytic geometry are found for the first time in the Geometry, and that the Geometry's mathematical notation is still used today. But, he argues, although Cartesian geometry is taken by many to be synonymous with analytic geometry, the fact is that the fundamental aim of Descartes's system is quite different from that of contemporary analytic geometry (Boyer, pp. 370-1). And so, the claim that Descartes is the originator of analytic geometry, at least as we understand it today, overstates the case. As Boyer rightly points out, however, this does not diminish the importance of the work in the history of mathematics.
In 1639 Descartes began writing the Meditations. And, in 1640 he returned to Leiden to help work out its publication. During the year, Francine died. She was only five years old. Understandably, Descartes was deeply saddened by her death. There is evidence that he was called away from Leiden around the time of her death, returning soon after. Some have speculated that he left Leiden to be at her side. Also during this year, Descartes's father and sister died. Descartes's relationship with his father (and brother) was of the sort that Pierre, his brother, failed to even bother him with the news of their father's death. Rather, it seems to have been in a letter from Mersenne that Descartes first learns of it. In a follow up letter to Mersenne, dated 3 December 1640, Descartes expresses regret in not having been able to see his father before his death. But, unlike any speculation that might be made concerning his having been with Francine at her death, it is clear that he refused to return to Paris (where his father had died) upon hearing of his father's death. Instead, he says, he will stay (in Leiden) to complete the publishing of the Meditations. Some have suggested that this in part demonstrates a profound strain that existed in the relationship between Descartes and his father.
Today, the Meditations is by far Descartes's most popular work-though this would not have been the case in Descartes's day. This work is important to today's scholar for many reasons, the least of which is its including as an attached text written objections from some of the best minds living in Paris. Mersenne sent the Meditations to philosophers and theologians for criticism. The list of critics includes: Caterus, Hobbes, Arnauld, Gassendi, and Mersenne himself, with several other unnamed readers who raised their objections through Mersenne. A later edition would include Bordin. Descartes replied to each critic, and the result was an appended text referred to as "The Objections and Replies." The second edition contains seven sets in all.
The Meditations opens by developing skeptical questions concerning the possibility of knowledge. Through a series of several carefully thought out meditations, the reader establishes (along with the author) the groundwork for the possibility of knowledge (scientia). Descartes is not a skeptic, as some have insisted, but uses skepticism as a vehicle to motivate his reader to "discover" by way of philosophical investigation what constitutes this ground. In the Second Replies, Descartes refers to this style of presentation as the "analytic" style. There were two styles of presentation: analytic and synthetic. It is important not to confuse these terms with those, say, used by Kant. For Descartes the analytic style of presentation (and inquiry) proceeds by beginning with what is commonly taken to be known and discovering what is necessary for such knowledge. Thus, the inquiry moves from what is commonly known to first principles. The "discovery" moves in such a way that each discovery is based on what was discovered before. By contrast, the synthetic style of presentation begins by asserting first principles and then to determining what follows. Prompted by Mersenne, Descartes sketches out in the Second Replies a synthetic rendering of the Meditations.
In establishing the ground for science, Descartes was at the same time overthrowing a system of natural philosophy that had been established for centuries-a qualitative, Aristotelian physics. In a letter to Mersenne, dated 28 January 1641, Descartes says "these six meditations contain all the foundations of my physics. But please do not tell people, for that might make it harder for supporters of Aristotle to approve them. I hope that readers will gradually get used to my principles, and recognize their truth, before they notice that they destroy the principles of Aristotle." Unlike his earlier work, The World, the Meditations parts ways with the "old" science without explicitly forwarding controversial views, like that of the Copernican heliocentric model of the solar system. Specifically, the Cartesian view denies that physics is grounded in hot, cold, wet, and dry. It argues that contrary to Aristotle's view, such "qualities" are not properties of bodies at all. Rather, the only properties of bodies with which the physicist can concern him or herself are size, shape, motion, position, and so on-those modifications that conceptually (or logically) entail extension in length, breadth, and depth. In contrast to Aristotle's "qualities," the properties (or modes) of bodies dealt with in Cartesian physics are measurable specifically on ratio scales (as opposed to intensive scales), and hence are subject in all the right ways to mathematics (Buroker, pp. 596-7). This conception of matter, conjoined with the sort of mathematics found in the Geometry, allies itself with the work of such Italian natural philosophers as Tartaglia, Ubaldo, and Galileo, and helps further the movement of early thinkers in their attempts to establish a mathematical physics.
Descartes's letter to the "learned and distinguished men" of the Sorbonne, which is appended to the Meditations, suggests that he was trying to pitch the Meditations as a textbook for the university. Though the endorsement of the Learned Men would not have guaranteed that the Meditations would be accepted or used as a textbook, it could certainly be viewed as an important step to getting it accepted. Unlike today's notion of a textbook, in Descartes's day "textbooks" were intended mostly for teachers, not students. Typically, at the close of a teacher's career, his notes would be published for the benefit of those who would go on to teach this particular course material. The awkwardness of Descartes's seeking the acceptance and use of his Meditations by teachers is amplified by the fact that he was not a teacher himself. Consequently, his seeking "textbook" status would have very likely been viewed by those Learned Men as being a bit pretentious. He was, it could be said, a freelancer with no academic or political ties to the university (outside of his connection to Mersenne). And, he certainly lacked the credentials and reputation of someone like a Eustachius, whose widely used textbook of the period is of the sort the Meditations was in all likelihood aimed at replacing. Although the Meditations seems to have been endorsed by the Sorbonne, it was never adopted as a text for the university.
In 1643, at the age of forty-seven, Descartes moved to Egmond du Hoef. With the Voetius controversy seemingly behind him (though, as mentioned above, it would again raise its head and climax five years down the road), Descartes and Princess Elizabeth of Bohemia began to correspond. In this exchange, Princess Elizabeth probed Descartes on the implications of his commitment to mind-body dualism. During this time, he completed a final draft of a new textbook, which he had begun three years earlier, the Principia Philosophiae (Principles of Philosophy), and in 1644 it was published. He dedicated it to Princess Elizabeth.
The Principles is an important text. The work is divided into four Parts, with five hundred and four articles. Part One develops Descartes's metaphysics. Although it would appear to be a quick run through of the Meditations, there are a number of dissimilarities. For example, the order of presentation of the proofs for God's existence, which some have argued is significant, found in the Third and Fifth Meditations, is reversed in the Principles. The principles introduced in Part Two are based on the metaphysics of Part One. And, the subsequent physics developed in Parts Three and Four is based upon the principles of Part Two. Although the physics turns out to be unsound, the Principles nevertheless inspired such great thinkers as Robert Boyle (1627-1691), Edmond Halley (1656-1742), and Isaac Newton. As an important side note, it must be stressed that even though Descartes had throughout his career put a great deal of emphasis on mathematics, the physics developed in the Principles is not a mathematical physics. Rather, it is a conceptual project with only a hint of empirical overtones-a physics rooted entirely in metaphysics. Two parts, never completed, were originally intended to deal with plants, animals, and man. In light of this and what Descartes says in a 31 January 1642 letter to the mathematician Constantijn Huygens, it is plausible to think that the Principles would have looked something like The World had it been completed as planned.
One of the more controversial positions the Principles forwarded, at least according to Newton, was that a vacuum was impossible. This followed from Descartes's commitment to the view that the essence of body was extension. Supposing that a vacuum was taken to be a "gap" between bodies-that is, it is taken to be an utter absence of body (matter)-if it turned out (as indeed it does) that this gap was extended in length, breadth, and depth, then it would not be an absence of body, but would by definition be a body-as much a body as the two bodies between which it is taken to be a gap. The corporeal universe was thus a plenum, individual bodies separated only by their surfaces. Newton argued in his De Gravitatione and Principia that the concept of motion becomes problematic if the universe is taken to be a plenum. Another controversial position was Descartes's insistence that matter is infinitely divisible. Gassendi, and later Cordemoy, argued that there must be a bottom, a "substance," to the physical universe upon which the being of all corporeal things depend. In line with the ancient atomist Epicurus, they argued that if matter was infinitely divisible, so dividing it would show that there was no bottom-and so, corporeality would not be substantial. So, if corporeality is substantial, as Descartes himself had claimed, there must be a minimum measure of extension that could not be divided (by natural means, anyway). And so, there are atoms. But, this conclusion was something that Descartes explicitly rejected in the Principles.
Queen Christina at first required very little from Descartes. However, according to Gaukroger, this would change. For, after he had some time to settle in, she ordered him to do two things: first, to put all of his papers in order, and secondly, to put together designs for an academy (Gaukroger, p. 415). Arguably, Descartes had some idea of how the latter might be done by way of his experience in Breda. In January of 1650 Queen Christina began to require Descartes to give her lessons in philosophy. These apparently would begin at five in the morning and would last for about five hours. They were given three days a week (Gaukroger, p. 415). During this time Descartes published the Passions, the work having emerged primarily from his correspondence with Princess Elizabeth (to whom he had dedicated the Principles). But, things were not going as well as one would have hoped. In a letter to Bregy, dated 15 January 1650, Descartes expresses reservations about his decision to come to Sweden. He sees himself to be "out of his element," the winter so harsh that "men's thoughts are frozen here, like the water" (AT V 467; CSMK III 383).3 Given the sentiment expressed in the letter, this remark was probably intended to be as much Descartes's take on the intellectual climate as it was about the weather. In early February, less than a month after writing Bregy, Descartes had fallen ill. His illness quickly turned into a serious respiratory infection. And, although at the end of a week he appeared to have made some movement towards recovery, things took a turn for the worse and he died in the early morning of 11 February 1650. He was fifty-three years old.
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First published: April 9, 2001
Content last modified: April 9, 2001