René Descartes ( or ; ; Latinized: Renatus Cartesius; 31 March 1596 – 11 February 1650) was a French
philosopher
A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
,
scientist
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences.
In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosoph ...
, and
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, widely considered a seminal figure in the emergence of
modern philosophy
Modern philosophy is philosophy developed in the modern era and associated with modernity. It is not a specific doctrine or school (and thus should not be confused with ''Modernism''), although there are certain assumptions common to much of i ...
and
science
Science is a systematic endeavor that Scientific method, builds and organizes knowledge in the form of Testability, testable explanations and predictions about the universe.
Science may be as old as the human species, and some of the earli ...
. Mathematics was central to his method of inquiry, and he connected the previously separate fields of
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
and
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary ...
into analytic geometry. Descartes spent much of his working life in the
Dutch Republic
The United Provinces of the Netherlands, also known as the (Seven) United Provinces, officially as the Republic of the Seven United Netherlands (Dutch: ''Republiek der Zeven Verenigde Nederlanden''), and commonly referred to in historiography ...
, initially serving the
Dutch States Army
The Dutch States Army ( nl, Staatse leger) was the army of the Dutch Republic. It was usually called this, because it was formally the army of the States-General of the Netherlands, the sovereign power of that federal republic. This mercenary arm ...
, later becoming a central intellectual of the Dutch Golden Age. Although he served a Protestant state and was later counted as a deist by critics, Descartes considered himself a devout Catholic.
Many elements of Descartes' philosophy have precedents in late
Aristotelianism
Aristotelianism ( ) is a philosophical tradition inspired by the work of Aristotle, usually characterized by deductive logic and an analytic inductive method in the study of natural philosophy and metaphysics. It covers the treatment of the socia ...
, the revived Stoicism of the 16th century, or in earlier philosophers like
Augustine
Augustine of Hippo ( , ; la, Aurelius Augustinus Hipponensis; 13 November 354 – 28 August 430), also known as Saint Augustine, was a theologian and philosopher of Berber origin and the bishop of Hippo Regius in Numidia, Roman North A ...
. In his
natural philosophy
Natural philosophy or philosophy of nature (from Latin ''philosophia naturalis'') is the philosophical study of physics, that is, nature and the physical universe. It was dominant before the development of modern science.
From the ancient wo ...
, he differed from the
schools
A school is an educational institution designed to provide learning spaces and learning environments for the teaching of students under the direction of teachers. Most countries have systems of formal education, which is sometimes compulsor ...
on two major points: first, he rejected the splitting of corporeal substance into
matter
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic part ...
and form; second, he rejected any appeal to final ends, divine or natural, in explaining natural phenomena. In his theology, he insists on the absolute freedom of God's act of creation. Refusing to accept the authority of previous philosophers, Descartes frequently set his views apart from the philosophers who preceded him. In the opening section of the ''
Passions of the Soul
In his final philosophical treatise, ''The Passions of the Soul'' (french: Les Passions de l'âme), completed in 1649 and dedicated to Princess Elisabeth of Bohemia, René Descartes contributes to a long tradition of philosophical inquiry into the ...
'', an early modern treatise on emotions, Descartes goes so far as to assert that he will write on this topic "as if no one had written on these matters before." His best known philosophical statement is " la, link=no,
cogito, ergo sum
The Latin , usually translated into English as "I think, therefore I am", is the "first principle" of René Descartes's philosophy. He originally published it in French as , in his 1637 ''Discourse on the Method'', so as to reach a wider audie ...
, label=none" ("I think, therefore I am"; french: link=no, Je pense, donc je suis), found in ''
Discourse on the Method
''Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences'' (french: Discours de la Méthode Pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical ...
'' (1637; in French and Latin) and ''
Principles of Philosophy
''Principles of Philosophy'' ( la, Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the '' Discourse on Method'' and '' Meditations on First Philosophy''.Guy Durandin, ''Les Principes de la Philosophie. Int ...
'' (1644, in Latin).
Descartes has often been called the father of modern philosophy, and is largely seen as responsible for the increased attention given to
epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics.
Epis ...
in the 17th century.
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, ...
rationalism
In philosophy, rationalism is the epistemological view that "regards reason as the chief source and test of knowledge" or "any view appealing to reason as a source of knowledge or justification".Lacey, A.R. (1996), ''A Dictionary of Philosophy ...
, later advocated by
Spinoza
Baruch (de) Spinoza (born Bento de Espinosa; later as an author and a correspondent ''Benedictus de Spinoza'', anglicized to ''Benedict de Spinoza''; 24 November 1632 – 21 February 1677) was a Dutch philosopher of Portuguese-Jewish origin, ...
and
Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of ma ...
, and was later opposed by the
empiricist
In philosophy, empiricism is an epistemological theory that holds that knowledge or justification comes only or primarily from sensory experience. It is one of several views within epistemology, along with rationalism and skepticism. Empir ...
school of thought consisting of
Hobbes
Thomas Hobbes ( ; 5/15 April 1588 – 4/14 December 1679) was an English philosopher, considered to be one of the founders of modern political philosophy. Hobbes is best known for his 1651 book ''Leviathan'', in which he expounds an influe ...
Berkeley
Berkeley most often refers to:
*Berkeley, California, a city in the United States
**University of California, Berkeley, a public university in Berkeley, California
* George Berkeley (1685–1753), Anglo-Irish philosopher
Berkeley may also refer ...
, and Hume. The rise of early modern rationalism – as a highly systematic school of philosophy in its own right for the first time in history – exerted an immense and profound influence on modern Western thought in general, with the birth of two influential rationalistic philosophical systems of Descartes (
Cartesianism
Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably François Poullain de la Barre, Nicolas Malebranche and Baruch Spinoza. Descartes is o ...
) and Spinoza (
Spinozism
Baruch (de) Spinoza (born Bento de Espinosa; later as an author and a correspondent ''Benedictus de Spinoza'', anglicized to ''Benedict de Spinoza''; 24 November 1632 – 21 February 1677) was a Dutch philosopher of Portuguese-Jewish origin, b ...
). It was the 17th-century arch-rationalists like Descartes, Spinoza and Leibniz who have given the " Age of Reason" its name and place in history. Leibniz, Spinoza, and Descartes were all well-versed in mathematics as well as philosophy, and Descartes and Leibniz contributed greatly to science as well.
Descartes' ''
Meditations on First Philosophy
''Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated'' ( la, Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur) is a philosophical treatise ...
'' (1641) continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system was named after him. He is credited as the father of analytic geometry—used in the discovery of infinitesimal
calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
and
analysis
Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...
. Descartes was also one of the key figures in the
Scientific Revolution
The Scientific Revolution was a series of events that marked the emergence of modern science during the early modern period, when developments in mathematics, physics, astronomy, biology (including human anatomy) and chemistry transfo ...
Indre-et-Loire
Indre-et-Loire () is a department in west-central France named after the Indre River and Loire River. In 2019, it had a population of 610,079. René Descartes was conceived about halfway through August 1595. His mother, Jeanne Brochard, died a few days after giving birth to a still-born child in May 1597. Descartes' father, Joachim, was a member of the
Parlement of Brittany
The Parliament of Brittany (, ) was one of the , a court of justice under the French , with its seat at Rennes. The last building to house the Parliament still stands and now houses the Rennes Court of Appeal, the natural successor of the Parliame ...
at Rennes. René lived with his grandmother and with his great-uncle. Although the Descartes family was Roman Catholic, the
Poitou
Poitou (, , ; ; Poitevin: ''Poetou'') was a province of west-central France whose capital city was Poitiers. Both Poitou and Poitiers are named after the Pictones Gallic tribe.
Geography
The main historical cities are Poitiers (historical c ...
region was controlled by the Protestant
Huguenots
The Huguenots ( , also , ) were a religious group of French Protestants who held to the Reformed, or Calvinist, tradition of Protestantism. The term, which may be derived from the name of a Swiss political leader, the Genevan burgomaster Be ...
. In 1607, late because of his fragile health, he entered the
Collège Royal Henry-Le-Grand
In France, secondary education is in two stages:
* ''Collèges'' () cater for the first four years of secondary education from the ages of 11 to 15.
* ''Lycées'' () provide a three-year course of further secondary education for children between ...
at
La Flèche
La Flèche () is a town and commune in the French department of Sarthe, in the Pays de la Loire region in the Loire Valley. It is the sub-prefecture of the South-Sarthe, the chief district and the chief city of a canton, and the second most po ...
, where he was introduced to mathematics and physics, including Galileo's work. While there, Descartes first encountered hermetic mysticism. After graduation in 1614, he studied for two years (1615–16) at the
University of Poitiers
The University of Poitiers (UP; french: Université de Poitiers) is a public university located in Poitiers, France. It is a member of the Coimbra Group. It is multidisciplinary and contributes to making Poitiers the city with the highest studen ...
canon
Canon or Canons may refer to:
Arts and entertainment
* Canon (fiction), the conceptual material accepted as official in a fictional universe by its fan base
* Literary canon, an accepted body of works considered as high culture
** Western ca ...
and civil law in 1616, in accordance with his father's wishes that he should become a lawyer. From there, he moved to Paris.
In ''
Discourse on the Method
''Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences'' (french: Discours de la Méthode Pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical ...
'', Descartes recalls:
I entirely abandoned the study of letters. Resolving to seek no knowledge other than that of which could be found in myself or else in the great book of the world, I spent the rest of my youth traveling, visiting courts and armies, mixing with people of diverse temperaments and ranks, gathering various experiences, testing myself in the situations which fortune offered me, and at all times reflecting upon whatever came my way to derive some profit from it.
In accordance with his ambition to become a professional military officer in 1618, Descartes joined, as a
mercenary
A mercenary, sometimes also known as a soldier of fortune or hired gun, is a private individual, particularly a soldier, that joins a military conflict for personal profit, is otherwise an outsider to the conflict, and is not a member of any ...
, the
Protestant
Protestantism is a Christian denomination, branch of Christianity that follows the theological tenets of the Reformation, Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century agai ...
Dutch States Army
The Dutch States Army ( nl, Staatse leger) was the army of the Dutch Republic. It was usually called this, because it was formally the army of the States-General of the Netherlands, the sovereign power of that federal republic. This mercenary arm ...
Maurice of Nassau
Maurice of Orange ( nl, Maurits van Oranje; 14 November 1567 – 23 April 1625) was ''stadtholder'' of all the provinces of the Dutch Republic except for Friesland from 1585 at the earliest until his death in 1625. Before he became Prince o ...
Simon Stevin
Simon Stevin (; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. He made various contributions in many areas of science and engineering, both theoretical and practical. He also translated vario ...
Clarendon Press
Oxford University Press (OUP) is the university press of the University of Oxford. It is the largest university press in the world, and its printing history dates back to the 1480s. Having been officially granted the legal right to print books ...
. Descartes, therefore, received much encouragement in Breda to advance his knowledge of mathematics. In this way, he became acquainted with
Isaac Beeckman
Isaac Beeckman (10 December 1588van Berkel, p10 – 19 May 1637) was a Dutch philosopher and scientist, who, through his studies and contact with leading natural philosophers, may have "virtually given birth to modern atomism".Harold J. Cook, in ...
, the principal of a
Dordrecht
Dordrecht (), historically known in English as Dordt (still colloquially used in Dutch, ) or Dort, is a city and municipality in the Western Netherlands, located in the province of South Holland. It is the province's fifth-largest city after R ...
school, for whom he wrote the ''Compendium of Music'' (written 1618, published 1650). Together, they worked on
free fall
In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on ...
,
catenary
In physics and geometry, a catenary (, ) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field.
The catenary curve has a U-like shape, superfici ...
,
conic section
In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a spe ...
, and
fluid statics
Fluid statics or hydrostatics is the branch of fluid mechanics that studies the condition of the equilibrium of a floating body and submerged body " fluids at hydrostatic equilibrium and the pressure in a fluid, or exerted by a fluid, on an imm ...
. Both believed that it was necessary to create a method that thoroughly linked mathematics and physics.Durandin, Guy. 1970. ''Les Principes de la Philosophie. Introduction et notes''. Paris:
Librairie Philosophique J. Vrin
The Librairie philosophique J. Vrin is a bookshop and publisher in Paris, specializing in books on philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, know ...
.
While in the service of the
Catholic
The Catholic Church, also known as the Roman Catholic Church, is the largest Christian church, with 1.3 billion baptized Catholics worldwide . It is among the world's oldest and largest international institutions, and has played a ...
Battle of the White Mountain
), near Prague, Bohemian Confederation(present-day Czech Republic)
, coordinates =
, territory =
, result = Imperial-Spanish victory
, status =
, combatants_header =
, combatant1 = Catholic L ...
near
Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
, in November 1620.
According to
Adrien Baillet
Adrien Baillet (13 June 164921 January 1706) was a French scholar and critic. He is now best known as a biographer of René Descartes.
Life
He was born in the village of La Neuville-en-Hez, Neuville near Beauvais, in Picardy. His parents could o ...
, on the night of 10–11 November 1619 (
St. Martin's Day
Saint Martin's Day or Martinmas, sometimes historically called Old Halloween or Old Hallowmas Eve, is the feast day of Saint Martin of Tours and is celebrated in the liturgical year on 11 November. In the Middle Ages and early modern period, it ...
), while stationed in
Neuburg an der Donau
Neuburg an der Donau (Central Bavarian: ''Neiburg an da Donau'') is a town which is the capital of the Neuburg-Schrobenhausen district in the state of Bavaria in Germany.
Divisions
The municipality has 16 divisions:
* Altmannstetten
* Bergen, Neu ...
, Descartes shut himself in a room with an "oven" (probably a
cocklestove
A masonry heater (also called a masonry stove) is a device for warming an interior space through radiant heating, by capturing the heat from periodic burning of fuel (usually wood), and then radiating the heat at a fairly constant temperature ...
) to escape the cold. While within, he had three dreams, and believed that a divine spirit revealed to him a new philosophy. However, it is speculated that what Descartes considered to be his second dream was actually an episode of
exploding head syndrome
Exploding head syndrome (EHS) is an abnormal sensory perception during sleep in which a person experiences auditory hallucinations that are loud and of short duration when falling asleep or waking up. The noise may be frightening, typically occ ...
. Upon exiting, he had formulated analytic geometry and the idea of applying the mathematical method to philosophy. He concluded from these visions that the pursuit of science would prove to be, for him, the pursuit of true wisdom and a central part of his life's work. Descartes also saw very clearly that all truths were linked with one another, so that finding a fundamental truth and proceeding with logic would open the way to all science. Descartes discovered this basic truth quite soon: his famous "
I think, therefore I am
The Latin , usually translated into English as "I think, therefore I am", is the "first principle" of René Descartes's philosophy. He originally published it in French as , in his 1637 ''Discourse on the Method'', so as to reach a wider audienc ...
."
Career
France
In 1620, Descartes left the army. He visited
Basilica della Santa Casa
The Basilica della Santa Casa ( en, Basilica of the Holy House) is a Marian shrine in Loreto, in the Marches, Italy. The basilica is known for enshrining the house in which the Blessed Virgin Mary is believed by some Catholics to have lived. Pio ...
in Loreto, then visited various countries before returning to France, and during the next few years, he spent time in Paris. It was there that he composed his first essay on method: ''Regulae ad Directionem Ingenii'' (''
Rules for the Direction of the Mind
In 1628 René Descartes began work on an unfinished treatise regarding the proper method for scientific and philosophical thinking entitled ''Regulae ad directionem ingenii'', or ''Rules for the Direction of the Mind''. The work was eventually pub ...
''). He arrived in La Haye in 1623, selling all of his property to invest in bonds, which provided a comfortable income for the rest of his life. Descartes was present at the
siege of La Rochelle
The siege of La Rochelle (, or sometimes ) was a result of a war between the French royal forces of Louis XIII of France and the Huguenots of La Rochelle in 1627–28. The siege marked the height of the struggle between the Catholics and the Pr ...
by Cardinal Richelieu in 1627.Shea, William R. 1991. ''The Magic of Numbers and Motion''. Science History Publications. In the autumn of that year, in the residence of the papal nuncioGuidi di Bagno, where he came with
Mersenne
Marin Mersenne, OM (also known as Marinus Mersennus or ''le Père'' Mersenne; ; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for ...
and many other scholars to listen to a lecture given by the alchemist, Nicolas de Villiers, Sieur de Chandoux, on the principles of a supposed new philosophy, Cardinal
Bérulle
Bérulle () is a commune in the Aube department in north-central France.
History
Berulle's history dates back to the 12th century when it was a part of a small chastelleny under the county of Champagne. Over time, Berulle's ownership changed ...
urged him to write an exposition of his new philosophy in some location beyond the reach of the Inquisition.
Netherlands
Descartes returned to the
Dutch Republic
The United Provinces of the Netherlands, also known as the (Seven) United Provinces, officially as the Republic of the Seven United Netherlands (Dutch: ''Republiek der Zeven Verenigde Nederlanden''), and commonly referred to in historiography ...
in 1628. In April 1629, he joined the
University of Franeker
The University of Franeker (1585–1811) was a university in Franeker, Friesland, the Netherlands. It was the second oldest university of the Netherlands, founded shortly after Leiden University.
History
Also known as ''Academia Franekerensis'' ...
, studying under
Adriaan Metius
Adriaan Adriaanszoon, called Metius, (9 December 1571 – 6 September 1635), was a Dutch geometer and astronomer born in Alkmaar. The name "Metius" comes from the Dutch word ''meten'' ("measuring"), and therefore means something like "measurer" o ...
, either living with a Catholic family or renting the Sjaerdemaslot. The next year, under the name "Poitevin", he enrolled at Leiden University, which at the time was a Protestant University. He studied both mathematics with
Jacobus Golius
Jacob Golius born Jacob van Gool (1596 – September 28, 1667) was an Orientalist and mathematician based at the University of Leiden in Netherlands. He is primarily remembered as an Orientalist. He published Arabic texts in Arabic at Leiden, ...
, who confronted him with
Pappus's hexagon theorem
In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that
*given one set of collinear points A, B, C, and another set of collinear points a,b,c, then the intersection points X,Y,Z of line pairs Ab and aB, Ac and ...
, and
astronomy
Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...
with Martin Hortensius. In October 1630, he had a falling-out with Beeckman, whom he accused of plagiarizing some of his ideas. In Amsterdam, he had a relationship with a servant girl, Helena Jans van der Strom, with whom he had a daughter,
Francine
:''This is a disambiguation page for the common name Francine.''
Francine is a female given name. The name is of French origin. The name Francine was most popular in France itself during the 1940s (Besnard & Desplanques 2003), and was well used i ...
, who was born in 1635 in
Deventer
Deventer (; Sallands: ) is a city and municipality in the Salland historical region of the province of Overijssel, Netherlands. In 2020, Deventer had a population of 100,913. The city is largely situated on the east bank of the river IJssel, bu ...
. She was baptized a Protestant and died of scarlet fever at the age of 5.
Unlike many moralists of the time, Descartes did not deprecate the passions but rather defended them; he wept upon Francine's death in 1640. According to a recent biography by Jason Porterfield, "Descartes said that he did not believe that one must refrain from tears to prove oneself a man."
Russell Shorto
Russell Anthony Shorto (born February 8, 1959) is an American author, historian, and journalist who is best known for his book on the Dutch origins of New York City, '' The Island at the Center of the World''. Shorto's research for the book rel ...
speculates that the experience of fatherhood and losing a child formed a turning point in Descartes's work, changing its focus from medicine to a quest for universal answers.
Despite frequent moves, he wrote all of his major work during his 20-plus years in the Netherlands, initiating a revolution in mathematics and philosophy. In 1633, Galileo was condemned by the Italian Inquisition, and Descartes abandoned plans to publish ''
Treatise on the World
A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject and its conclusions."Trea ...
'', his work of the previous four years. Nevertheless, in 1637, he published parts of this work in three essays: "Les Météores" (The Meteors), " La Dioptrique" (Dioptrics) and '' La Géométrie'' (''Geometry''), preceded by an introduction, his famous ''Discours de la méthode'' (''
Discourse on the Method
''Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences'' (french: Discours de la Méthode Pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical ...
''). In it, Descartes lays out four rules of thought, meant to ensure that our knowledge rests upon a firm foundation:
In ''La Géométrie'', Descartes exploited the discoveries he made with
Pierre de Fermat
Pierre de Fermat (; between 31 October and 6 December 1607 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he ...
, having been able to do so because his paper, ''Introduction to Loci'', was published posthumously in 1679. This later became known as Cartesian Geometry.
Descartes continued to publish works concerning both mathematics and philosophy for the rest of his life. In 1641, he published a metaphysics treatise, ''Meditationes de Prima Philosophia'' (''Meditations on First Philosophy''), written in Latin and thus addressed to the learned. It was followed in 1644 by ''Principia Philosophiae'' (''
Principles of Philosophy
''Principles of Philosophy'' ( la, Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the '' Discourse on Method'' and '' Meditations on First Philosophy''.Guy Durandin, ''Les Principes de la Philosophie. Int ...
''), a kind of synthesis of the ''Discourse on the Method'' and ''Meditations on First Philosophy''. In 1643, Cartesian philosophy was condemned at the
University of Utrecht
Utrecht University (UU; nl, Universiteit Utrecht, formerly ''Rijksuniversiteit Utrecht'') is a public research university in Utrecht, Netherlands. Established , it is one of the oldest universities in the Netherlands. In 2018, it had an enrollme ...
, and Descartes was obliged to flee to the Hague, settling in
Egmond-Binnen
Egmond-Binnen () is a village in the Dutch province of North Holland. It is a part of the municipality of Bergen, and lies about southwest of Alkmaar.
History
The village was first mentioned in 922 as Ekmunde. The etymology is unknown. The m ...
.
Between 1643 and 1649 Descartes lived with his girlfriend at Egmond-Binnen in an inn. Descartes became friendly with Anthony Studler van Zurck, lord of
Bergen
Bergen (), historically Bjørgvin, is a city and municipality in Vestland county on the west coast of Norway. , its population is roughly 285,900. Bergen is the second-largest city in Norway. The municipality covers and is on the peninsula of ...
and participated in the design of his mansion and estate. He also met
Dirck Rembrantsz van Nierop
Dirck Rembrantsz van Nierop (1610 – 4 November 1682) was a seventeenth-century Dutch cartographer, mathematician, surveyor, astronomer, shoemaker and Mennonite teacher.
Life
Van Nierop was born and died at Nieuwe Niedorp ("Nierop"), Holland ...
, a mathematician and surveyor. He was so impressed by Van Nierop's knowledge that he even brought him to the attention of
Constantijn Huygens
Sir Constantijn Huygens, Lord of Zuilichem ( , , ; 4 September 159628 March 1687), was a Dutch Golden Age poet and composer. He was also secretary to two Princes of Orange: Frederick Henry and William II, and the father of the scientist Ch ...
and Frans van Schooten.
Christia Mercer
Christia Mercer is an American philosopher and the Gustave M. Berne Professor in the Department of Philosophy at Columbia University. She is known for her work on the history of early modern philosophy, the history of Platonism, and the history ...
suggested that Descartes may have been influenced by Spanish author and Roman Catholic nun
Teresa of Ávila
Teresa of Ávila, OCD (born Teresa Sánchez de Cepeda y Ahumada; 28 March 15154 or 15 October 1582), also called Saint Teresa of Jesus, was a Spanish Carmelite nun and prominent Spanish mystic and religious reformer.
Active during t ...
, who, fifty years earlier, published ''
The Interior Castle
''The'' () is a grammatical article in English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the ...
Philosophical Studies
''Philosophical Studies'' is a peer-reviewed academic journal for philosophy in the analytic tradition. The journal is devoted to the publication of papers in exclusively analytic philosophy and welcomes papers applying formal techniques to philo ...
'' 174, 2017.
Descartes began (through Alfonso Polloti, an Italian general in Dutch service) a six-year correspondence with Princess Elisabeth of Bohemia, devoted mainly to moral and psychological subjects. Connected with this correspondence, in 1649 he published ''Les Passions de l'âme'' ('' The Passions of the Soul''), which he dedicated to the Princess. A French translation of ''Principia Philosophiae'', prepared by Abbot Claude Picot, was published in 1647. This edition was also dedicated to Princess Elisabeth. In the preface to the French edition, Descartes praised true philosophy as a means to attain wisdom. He identifies four ordinary sources to reach wisdom and finally says that there is a fifth, better and more secure, consisting in the search for first causes.
Sweden
By 1649, Descartes had become one of Europe's most famous philosophers and scientists. That year, Queen Christina of Sweden invited him to her court to organize a new scientific academy and tutor her in his ideas about love. Descartes accepted, and moved to Sweden in the middle of winter. She was interested in and stimulated Descartes to publish ''The Passions of the Soul.''
He was a guest at the house of
Pierre Chanut
Pierre Hector Chanut (February 22, 1601 in Riom – July 3, 1662 in Livry-sur-Seine) was a civil servant in the Auvergne, a French ambassador in Sweden and the Dutch Republic, and state counsellor.
Life
In 1626 Chanut married Marguerite Cle ...
Stockholm
Stockholm () is the Capital city, capital and List of urban areas in Sweden by population, largest city of Sweden as well as the List of urban areas in the Nordic countries, largest urban area in Scandinavia. Approximately 980,000 people liv ...
. There, Chanut and Descartes made observations with a Torricellian mercury barometer. Challenging Blaise Pascal, Descartes took the first set of barometric readings in Stockholm to see if
atmospheric pressure
Atmospheric pressure, also known as barometric pressure (after the barometer), is the pressure within the atmosphere of Earth. The standard atmosphere (symbol: atm) is a unit of pressure defined as , which is equivalent to 1013.25 millibars, ...
could be used in forecasting the weather.
Death
Descartes arranged to give lessons to Queen Christina after her birthday, three times a week at 5 am, in her cold and draughty castle. It soon became clear they did not like each other; she did not care for his
mechanical philosophy
The mechanical philosophy is a form of natural philosophy which compares the universe to a large-scale mechanism (i.e. a machine). The mechanical philosophy is associated with the scientific revolution of early modern Europe. One of the first expo ...
, nor did he share her interest in
Ancient Greek
Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic peri ...
. By 15 January 1650, Descartes had seen Christina only four or five times. On 1 February, he contracted
pneumonia
Pneumonia is an inflammatory condition of the lung primarily affecting the small air sacs known as alveoli. Symptoms typically include some combination of productive or dry cough, chest pain, fever, and difficulty breathing. The severity ...
and died on 11 February at Chanut.
The cause of death was pneumonia according to Chanut, but peripneumonia according to Christina's physician Johann van Wullen who was not allowed to bleed him. (The winter seems to have been mild, except for the second half of January which was harsh as described by Descartes himself; however, "this remark was probably intended to be as much Descartes' take on the intellectual climate as it was about the weather.")E. Pies has questioned this account, based on a letter by the Doctor van Wullen; however, Descartes had refused his treatment, and more arguments against its veracity have been raised since. In a 2009 book, German philosopher Theodor Ebert argues that Descartes was poisoned by a Catholic missionary who opposed his religious views.
As a Catholic in a Protestant nation, he was interred in a graveyard used mainly for orphans in Adolf Fredriks kyrka in Stockholm. His manuscripts came into the possession of
Claude Clerselier
Claude Clerselier (1614, in Paris – 1684, in Paris) was a French editor and translator.
Clerselier was a lawyer in the Parlement of Paris and resident for the King of France in Sweden. He was the brother-in-law of Pierre Chanut, and served as ...
, Chanut's brother-in-law, and "a devout Catholic who has begun the process of turning Descartes into a saint by cutting, adding and publishing his letters selectively." In 1663, the
Pope
The pope ( la, papa, from el, πάππας, translit=pappas, 'father'), also known as supreme pontiff ( or ), Roman pontiff () or sovereign pontiff, is the bishop of Rome (or historically the patriarch of Rome), head of the worldwide Cathol ...
Louis XIV
, house = Bourbon
, father = Louis XIII
, mother = Anne of Austria
, birth_date =
, birth_place = Château de Saint-Germain-en-Laye, Saint-Germain-en-Laye, France
, death_date =
, death_place = Palace of Ver ...
prohibited all lectures in
Cartesianism
Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably François Poullain de la Barre, Nicolas Malebranche and Baruch Spinoza. Descartes is o ...
. Although the
National Convention
The National Convention (french: link=no, Convention nationale) was the parliament of the Kingdom of France for one day and the French First Republic for the rest of its existence during the French Revolution, following the two-year Nationa ...
in 1792 had planned to transfer his remains to the
Panthéon
The Panthéon (, from the Classical Greek word , , ' empleto all the gods') is a monument in the 5th arrondissement of Paris, France. It stands in the Latin Quarter, atop the , in the centre of the , which was named after it. The edifice was b ...
, he was reburied in the Abbey of Saint-Germain-des-Prés in 1819, missing a finger and the skull. His skull is on display in the
Musée de l'Homme
The Musée de l'Homme (French, "Museum of Mankind" or "Museum of Humanity") is an anthropology museum in Paris, France. It was established in 1937 by Paul Rivet for the 1937 ''Exposition Internationale des Arts et Techniques dans la Vie Moderne ...
in Paris.
Philosophical work
In his ''Discourse on the Method'', he attempts to arrive at a fundamental set of principles that one can know as true without any doubt. To achieve this, he employs a method called hyperbolical/metaphysical doubt, also sometimes referred to as
methodological skepticism
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596Feb 11, 1650). Scruton, R.''Modern Philosophy: An Introduction and Survey''(London: Penguin Books, 1994). Leiber, ...
or Cartesian doubt: he rejects any ideas that can be doubted and then re-establishes them in order to acquire a firm foundation for genuine knowledge. Descartes built his ideas from scratch which he does in ''The Meditations on First Philosophy''. He relates this to architecture: the top soil is taken away to create a new building or structure. Descartes calls his doubt the soil and new knowledge the buildings. To Descartes, Aristotle's foundationalism is incomplete and his method of doubt enhances foundationalism.
Initially, Descartes arrives at only a single first principle that he thinks. This is expressed in the Latin phrase in ''the Discourse on Method'' "
Cogito, ergo sum
The Latin , usually translated into English as "I think, therefore I am", is the "first principle" of René Descartes's philosophy. He originally published it in French as , in his 1637 ''Discourse on the Method'', so as to reach a wider audie ...
" (English: "I think, therefore I am"). Descartes concluded, if he doubted, then something or someone must be doing the doubting; therefore, the very fact that he doubted proved his existence. "The simple meaning of the phrase is that if one is skeptical of existence, that is in and of itself proof that he does exist." These two first principles—I think and I exist—were later confirmed by Descartes' clear and distinct perception (delineated in his Third Meditation from ''The Meditations''): as he clearly and distinctly perceives these two principles, Descartes reasoned, ensures their indubitability.
Descartes concludes that he can be certain that he exists because he thinks. But in what form? He perceives his body through the use of the senses; however, these have previously been unreliable. So Descartes determines that the only indubitable knowledge is that he is a ''thinking thing''. Thinking is what he does, and his power must come from his essence. Descartes defines "thought" ('' cogitatio'') as "what happens in me such that I am immediately conscious of it, insofar as I am conscious of it". Thinking is thus every activity of a person of which the person is immediately
conscious
Consciousness, at its simplest, is sentience and awareness of internal and external existence. However, the lack of definitions has led to millennia of analyses, explanations and debates by philosophers, theologians, linguisticians, and scien ...
. He gave reasons for thinking that waking thoughts are distinguishable from
dreams
A dream is a succession of images, ideas, emotions, and sensations that usually occur involuntarily in the mind during certain stages of sleep. Humans spend about two hours dreaming per night, and each dream lasts around 5 to 20 minutes, althou ...
, and that one's mind cannot have been "hijacked" by an
evil demon
The evil demon, also known as Descartes' demon, malicious demon and evil genius, is an epistemological concept that features prominently in Cartesian philosophy. In the first of his 1641 '' Meditations on First Philosophy'', Descartes imagine ...
placing an illusory external world before one's senses.
In this manner, Descartes proceeds to construct a system of knowledge, discarding
perception
Perception () is the organization, identification, and interpretation of sensory information in order to represent and understand the presented information or environment. All perception involves signals that go through the nervous system ...
as unreliable and, instead, admitting only deduction as a method.
Mind–body dualism
Descartes, influenced by the
automaton
An automaton (; plural: automata or automatons) is a relatively self-operating machine, or control mechanism designed to automatically follow a sequence of operations, or respond to predetermined instructions.Automaton – Definition and More ...
s on display throughout the city of Paris, began to investigate the connection between the mind and body, and how the two interact. His main influences for dualism were
theology
Theology is the systematic study of the nature of the divine and, more broadly, of religious belief. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of analyzing the ...
and
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
. The theory on the dualism of mind and body is Descartes' signature doctrine and permeates other theories he advanced. Known as
Cartesian dualism Cartesian means of or relating to the French philosopher René Descartes—from his Latinized name ''Cartesius''. It may refer to:
Mathematics
* Cartesian closed category, a closed category in category theory
*Cartesian coordinate system, moder ...
(or mind–body dualism), his theory on the separation between the mind and the body went on to influence subsequent Western philosophies. In ''Meditations on First Philosophy'', Descartes attempted to demonstrate the existence of
God
In monotheistic thought, God is usually viewed as the supreme being, creator, and principal object of faith. Swinburne, R.G. "God" in Honderich, Ted. (ed)''The Oxford Companion to Philosophy'', Oxford University Press, 1995. God is typically ...
and the distinction between the human soul and the body. Humans are a union of mind and body; thus Descartes's dualism embraced the idea that mind and body are distinct but closely joined. While many contemporary readers of Descartes found the distinction between mind and body difficult to grasp, he thought it was entirely straightforward. Descartes employed the concept of ''modes'', which are the ways in which substances exist. In ''
Principles of Philosophy
''Principles of Philosophy'' ( la, Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the '' Discourse on Method'' and '' Meditations on First Philosophy''.Guy Durandin, ''Les Principes de la Philosophie. Int ...
'', Descartes explained, "we can clearly perceive a substance apart from the mode which we say differs from it, whereas we cannot, conversely, understand the mode apart from the substance". To perceive a mode apart from its substance requires an intellectual abstraction, which Descartes explained as follows:
The intellectual abstraction consists in my turning my thought away from one part of the contents of this richer idea the better to apply it to the other part with greater attention. Thus, when I consider a shape without thinking of the substance or the extension whose shape it is, I make a mental abstraction.
According to Descartes, two substances are really distinct when each of them can exist apart from the other. Thus, Descartes reasoned that God is distinct from humans, and the body and mind of a human are also distinct from one another. He argued that the great differences between body (an extended thing) and mind (an un-extended, immaterial thing) make the two
ontologically
In metaphysics, ontology is the philosophical study of being, as well as related concepts such as existence, becoming, and reality.
Ontology addresses questions like how entities are grouped into categories and which of these entities exis ...
distinct. According to Descartes' indivisibility argument, the mind is utterly indivisible: because "when I consider the mind, or myself in so far as I am merely a thinking thing, I am unable to distinguish any part within myself; I understand myself to be something quite single and complete."
Moreover, in The ''Meditations'', Descartes discusses a piece of
wax
Waxes are a diverse class of organic compounds that are lipophilic, malleable solids near ambient temperatures. They include higher alkanes and lipids, typically with melting points above about 40 °C (104 °F), melting to giv ...
and exposes the single most characteristic doctrine of Cartesian dualism: that the universe contained two radically different kinds of substances—the mind or soul defined as
thinking
In their most common sense, the terms thought and thinking refer to conscious cognitive processes that can happen independently of sensory stimulation. Their most paradigmatic forms are judging, reasoning, concept formation, problem solving, an ...
, and the body defined as matter and unthinking. The Aristotelian philosophy of Descartes' days held that the universe was inherently purposeful or teleological. Everything that happened, be it the motion of the stars or the growth of a
tree
In botany, a tree is a perennial plant with an elongated stem, or trunk, usually supporting branches and leaves. In some usages, the definition of a tree may be narrower, including only woody plants with secondary growth, plants that are ...
, was supposedly explainable by a certain purpose, goal or end that worked its way out within nature. Aristotle called this the "final cause," and these final causes were indispensable for explaining the ways nature operated. Descartes' theory of dualism supports the distinction between traditional Aristotelian science and the new science of
Kepler
Johannes Kepler (; ; 27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, natural philosopher and writer on music. He is a key figure in the 17th-century Scientific Revolution, best known for his laws o ...
and Galileo, which denied the role of a divine power and "final causes" in its attempts to explain nature. Descartes' dualism provided the philosophical rationale for the latter by expelling the final cause from the physical universe (or ''res extensa'') in favor of the mind (or ''res cogitans''). Therefore, while Cartesian dualism paved the way for modern
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
, it also held the door open for religious beliefs about the immortality of the
soul
In many religious and philosophical traditions, there is a belief that a soul is "the immaterial aspect or essence of a human being".
Etymology
The Modern English noun '' soul'' is derived from Old English ''sāwol, sāwel''. The earliest atte ...
.
Descartes' dualism of mind and matter implied a concept of human beings. A human was, according to Descartes, a composite entity of mind and body. Descartes gave priority to the mind and argued that the mind could exist without the body, but the body could not exist without the mind. In The ''Meditations'', Descartes even argues that while the mind is a substance, the body is composed only of "accidents". But he did argue that mind and body are closely joined:
Nature also teaches me, by the sensations of pain, hunger, thirst and so on, that I am not merely present in my body as a pilot in his ship, but that I am very closely joined and, as it were, intermingled with it, so that I and the body form a unit. If this were not so, I, who am nothing but a thinking thing, would not feel pain when the body was hurt, but would perceive the damage purely by the intellect, just as a sailor perceives by sight if anything in his ship is broken.
Descartes' discussion on embodiment raised one of the most perplexing problems of his dualism philosophy: What exactly is the relationship of union between the mind and the body of a person? Therefore, Cartesian dualism set the agenda for philosophical discussion of the
mind–body problem
The mind–body problem is a philosophical debate concerning the relationship between thought and consciousness in the human mind, and the brain as part of the physical body. The debate goes beyond addressing the mere question of how mind and bo ...
for many years after Descartes' death. Descartes was also a rationalist and believed in the power of
innate ideas
Innatism is a philosophical and epistemological doctrine that the mind is born with ideas, knowledge, and beliefs. Therefore, the mind is not a ''tabula rasa'' (blank slate) at birth, which contrasts with the views of early empiricists such as J ...
. Descartes argued the theory of
innate knowledge
Innatism is a philosophical and epistemological doctrine that the mind is born with ideas, knowledge, and beliefs. Therefore, the mind is not a ''tabula rasa'' (blank slate) at birth, which contrasts with the views of early empiricists such as J ...
and that all humans were born with knowledge through the higher power of God. It was this theory of innate knowledge that was later combated by philosopher
John Locke
John Locke (; 29 August 1632 – 28 October 1704) was an English philosopher and physician, widely regarded as one of the most influential of Age of Enlightenment, Enlightenment thinkers and commonly known as the "father of liberalism ...
(1632–1704), an empiricist. Empiricism holds that all knowledge is acquired through experience.
Physiology and psychology
In ''The Passions of the Soul'', published in 1649, Descartes discussed the common contemporary belief that the human body contained animal spirits. These animal spirits were believed to be light and roaming fluids circulating rapidly around the nervous system between the brain and the muscles. These animal spirits were believed to affect the human soul, or passions of the soul. Descartes distinguished six basic passions: wonder, love, hatred, desire, joy and sadness. All of these passions, he argued, represented different combinations of the original spirit, and influenced the soul to will or want certain actions. He argued, for example, that fear is a passion that moves the soul to generate a response in the body. In line with his dualist teachings on the separation between the soul and the body, he hypothesized that some part of the brain served as a connector between the soul and the body and singled out the pineal gland as connector. Descartes argued that signals passed from the ear and the eye to the pineal gland, through animal spirits. Thus different motions in the gland cause various animal spirits. He argued that these motions in the pineal gland are based on God's will and that humans are supposed to want and like things that are useful to them. But he also argued that the animal spirits that moved around the body could distort the commands from the pineal gland, thus humans had to learn how to control their passions.
Descartes advanced a theory on automatic bodily reactions to external events, which influenced 19th-century reflex theory. He argued that external motions, such as touch and sound, reach the endings of the nerves and affect the animal spirits. For example, heat from fire affects a spot on the skin and sets in motion a chain of reactions, with the animal spirits reaching the brain through the central nervous system, and in turn, animal spirits are sent back to the muscles to move the hand away from the fire. Through this chain of reactions, the automatic reactions of the body do not require a thought process.
Above all, he was among the first scientists who believed that the soul should be subject to scientific investigation. He challenged the views of his contemporaries that the soul was
divine
Divinity or the divine are things that are either related to, devoted to, or proceeding from a deity.divine< ...
, thus religious authorities regarded his books as dangerous. Descartes' writings went on to form the basis for theories on
emotion
Emotions are mental states brought on by neurophysiology, neurophysiological changes, variously associated with thoughts, feelings, behavioral responses, and a degree of pleasure or suffering, displeasure. There is currently no scientific ...
s and how cognitive evaluations were translated into affective processes. Descartes believed that the brain resembled a working machine and unlike many of his contemporaries, he believed that mathematics and mechanics could explain the most complicated processes of the mind. In the 20th century,
Alan Turing
Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical co ...
advanced
computer science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical discipli ...
based on mathematical biology as inspired by Descartes. His theories on reflexes also served as the foundation for advanced physiological theories, more than 200 years after his death. The physiologist
Ivan Pavlov
Ivan Petrovich Pavlov ( rus, Ива́н Петро́вич Па́влов, , p=ɪˈvan pʲɪˈtrovʲɪtɕ ˈpavləf, a=Ru-Ivan_Petrovich_Pavlov.ogg; 27 February 1936), was a Russian and Soviet experimental neurologist, psychologist and physio ...
was a great admirer of Descartes.
Moral philosophy
For Descartes,
ethics
Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns m ...
was a science, the highest and most perfect of them. Like the rest of the sciences, ethics had its roots in metaphysics. In this way, he argues for the existence of God, investigates the place of man in nature, formulates the theory of mind–body dualism, and defends
free will
Free will is the capacity of agents to choose between different possible courses of action unimpeded.
Free will is closely linked to the concepts of moral responsibility, praise, culpability, sin, and other judgements which apply only to ac ...
. However, as he was a convinced rationalist, Descartes clearly states that reason is sufficient in the search for the goods that we should seek, and
virtue
Virtue ( la, virtus) is moral excellence. A virtue is a trait or quality that is deemed to be morally good and thus is valued as a foundation of principle and good moral being. In other words, it is a behavior that shows high moral standards ...
consists in the correct reasoning that should guide our actions. Nevertheless, the quality of this reasoning depends on knowledge, because a well-informed mind will be more capable of making good choices, and it also depends on mental condition. For this reason, he said that a complete moral philosophy should include the study of the body. He discussed this subject in the correspondence with Princess Elisabeth of Bohemia, and as a result wrote his work ''The Passions of the Soul'', that contains a study of the psychosomatic processes and reactions in man, with an emphasis on emotions or passions.Blom, John J., Descartes. His moral philosophy and psychology. New York University Press. 1978. His works about human passion and emotion would be the basis for the philosophy of his followers (see
Cartesianism
Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably François Poullain de la Barre, Nicolas Malebranche and Baruch Spinoza. Descartes is o ...
), and would have a lasting impact on ideas concerning what literature and art should be, specifically how it should invoke emotion.
Humans should seek the sovereign good that Descartes, following
Zeno
Zeno ( grc, Ζήνων) may refer to:
People
* Zeno (name), including a list of people and characters with the name
Philosophers
* Zeno of Elea (), philosopher, follower of Parmenides, known for his paradoxes
* Zeno of Citium (333 – 264 BC), ...
, identifies with virtue, as this produces blessedness. For Epicurus, the sovereign good was pleasure, and Descartes says that, in fact, this is not in contradiction with Zeno's teaching, because virtue produces a spiritual pleasure, that is better than bodily pleasure. Regarding
Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of phil ...
's opinion that happiness (eudaimonia) depends on both moral virtue and also on the goods of fortune such as a moderate degree of wealth, Descartes does not deny that fortunes contribute to happiness but remarks that they are in great proportion outside one's own control, whereas one's mind is under one's complete control. The moral writings of Descartes came at the last part of his life, but earlier, in his ''Discourse on the Method'', he adopted three maxims to be able to act while he put all his ideas into doubt. This is known as his "Provisional Morals".
Religion
In the third and fifth ''Meditation'', Descartes offers
proofs
Proof most often refers to:
* Proof (truth), argument or sufficient evidence for the truth of a proposition
* Alcohol proof, a measure of an alcoholic drink's strength
Proof may also refer to:
Mathematics and formal logic
* Formal proof, a co ...
of a benevolent God (the trademark argument and the ontological argument respectively). Because God is benevolent, Descartes has faith in the account of reality his senses provide him, for God has provided him with a working mind and
sensory system
The sensory nervous system is a part of the nervous system responsible for processing sensory information. A sensory system consists of sensory neurons (including the sensory receptor cells), neural pathways, and parts of the brain involved i ...
and does not desire to deceive him. From this supposition, however, Descartes finally establishes the possibility of acquiring knowledge about the world based on deduction and perception. Regarding
epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics.
Epis ...
, therefore, Descartes can be said to have contributed such ideas as a rigorous conception of foundationalism and the possibility that
reason
Reason is the capacity of consciously applying logic by drawing conclusions from new or existing information, with the aim of seeking the truth. It is closely associated with such characteristically human activities as philosophy, science, ...
is the only reliable method of attaining knowledge. Descartes, however, was very much aware that experimentation was necessary to verify and validate theories.
Descartes invokes his causal adequacy principle to support his trademark argument for the existence of God, quoting Lucretius in defence: ''"Ex nihilo nihil fit"'', meaning "
Nothing comes from nothing
Nothing comes from nothing ( gr, οὐδὲν ἐξ οὐδενός; la, ex nihilo nihil fit) is a philosophical dictum first argued by Parmenides. It is associated with ancient Greek cosmology, such as is presented not just in the works of Homer ...
" (
Lucretius
Titus Lucretius Carus ( , ; – ) was a Roman poet and philosopher. His only known work is the philosophical poem ''De rerum natura'', a didactic work about the tenets and philosophy of Epicureanism, and which usually is translated into En ...
). ''Oxford Reference'' summarises the argument, as follows, "that our idea of perfection is related to its perfect origin (God), just as a stamp or trademark is left in an article of workmanship by its maker." In the fifth Meditation, Descartes presents a version of the ontological argument which is founded on the possibility of thinking the "idea of a being that is supremely perfect and infinite," and suggests that "of all the ideas that are in me, the idea that I have of God is the most true, the most clear and distinct."
Descartes considered himself to be a devout Catholic, and one of the purposes of the ''Meditations'' was to defend the Catholic faith. His attempt to ground theological beliefs on reason encountered intense opposition in his time. Pascal regarded Descartes' views as a rationalist and mechanist, and accused him of deism: "I cannot forgive Descartes; in all his philosophy, Descartes did his best to dispense with God. But Descartes could not avoid prodding God to set the world in motion with a snap of his lordly fingers; after that, he had no more use for God," while a powerful contemporary,
Martin Schoock Martin Schoock (1 April 1614–1669) was a Dutch academic and polymath.
Life
He was born in Utrecht. His grandfather Anton van Voorst taught him Latin. His parents were Remonstrants and intended him for the law; he studied theology and philosophy ...
, accused him of atheist beliefs, though Descartes had provided an explicit critique of atheism in his ''Meditations''. The Catholic Church prohibited his books in 1663.Descartes, René. (2009). ''Encyclopædia Britannica 2009 Deluxe Edition''. Chicago: Encyclopædia Britannica.
Descartes also wrote a response to external world skepticism. Through this method of skepticism, he does not doubt for the sake of doubting but to achieve concrete and reliable information. In other words, certainty. He argues that sensory
perception
Perception () is the organization, identification, and interpretation of sensory information in order to represent and understand the presented information or environment. All perception involves signals that go through the nervous system ...
s come to him involuntarily, and are not willed by him. They are external to his senses, and according to Descartes, this is evidence of the existence of something outside of his mind, and thus, an external world. Descartes goes on to show that the things in the external world are material by arguing that God would not deceive him as to the ideas that are being transmitted, and that God has given him the "propensity" to believe that such ideas are caused by material things. Descartes also believes a substance is something that does not need any assistance to function or exist. Descartes further explains how only God can be a true "substance". But minds are substances, meaning they need only God for it to function. The mind is a thinking substance. The means for a thinking substance stem from ideas.
Descartes steered clear of theological questions, restricting his attention to showing that there is no incompatibility between his metaphysics and theological orthodoxy. He avoided trying to demonstrate theological dogmas metaphysically. When challenged that he had not established the immortality of the soul merely in showing that the soul and the body are distinct substances, he replied, "I do not take it upon myself to try to use the power of human reason to settle any of those matters which depend on the free will of God."
Natural science
Descartes is often regarded as the first thinker to emphasize the use of reason to develop the natural sciences. For him, philosophy was a thinking system that embodied all knowledge, as he related in a letter to a French translator:
On animals
Descartes denied that animals had reason or intelligence. He argued that animals did not lack sensations or perceptions, but these could be explained mechanistically. Whereas humans had a soul, or mind, and were able to feel pain and
anxiety
Anxiety is an emotion which is characterized by an unpleasant state of inner turmoil and includes feelings of dread over anticipated events. Anxiety is different than fear in that the former is defined as the anticipation of a future threat wh ...
, animals by virtue of not having a soul could not feel pain or anxiety. If animals showed signs of distress then this was to protect the body from damage, but the innate state needed for them to suffer was absent. Although Descartes' views were not universally accepted, they became prominent in Europe and North America, allowing humans to treat animals with impunity. The view that animals were quite separate from humanity and merely machines allowed for the maltreatment of animals, and was sanctioned in law and societal norms until the middle of the 19th century. The publications of
Charles Darwin
Charles Robert Darwin ( ; 12 February 1809 – 19 April 1882) was an English naturalist, geologist, and biologist, widely known for his contributions to evolutionary biology. His proposition that all species of life have descended fr ...
would eventually erode the Cartesian view of animals. Darwin argued that the continuity between humans and other species opened the possibilities that animals did not have dissimilar properties to suffer.
Historical impact
Emancipation from Church doctrine
Descartes has often been dubbed the father of modern
Western philosophy
Western philosophy encompasses the philosophical thought and work of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the pre-Socratics. The word ' ...
, the thinker whose approach has profoundly changed the course of Western philosophy and set the basis for
modernity
Modernity, a topic in the humanities and social sciences, is both a historical period (the modern era) and the ensemble of particular socio-cultural norms, attitudes and practices that arose in the wake of the Renaissancein the "Age of Reas ...
. The first two of his ''Meditations on First Philosophy'', those that formulate the famous methodic doubt, represent the portion of Descartes's writings that most influenced modern thinking. It has been argued that Descartes himself did not realize the extent of this revolutionary move. In shifting the debate from "what is true" to "of what can I be certain?", Descartes arguably shifted the authoritative guarantor of truth from God to humanity (even though Descartes himself claimed he received his visions from God)—while the traditional concept of "truth" implies an external authority, "certainty" instead relies on the judgment of the individual.
In an
anthropocentric
Anthropocentrism (; ) is the belief that human beings are the central or most important entity in the universe. The term can be used interchangeably with humanocentrism, and some refer to the concept as human supremacy or human exceptionalism. ...
revolution, the human being is now raised to the level of a subject, an agent, an
emancipated
Emancipation generally means to free a person from a previous restraint or legal disability. More broadly, it is also used for efforts to procure economic and social rights, political rights or equality, often for a specifically disenfranchis ...
being equipped with autonomous reason. This was a revolutionary step that established the basis of modernity, the repercussions of which are still being felt: the emancipation of humanity from Christian
revelation
In religion and theology, revelation is the revealing or disclosing of some form of truth or knowledge through communication with a deity or other supernatural entity or entities.
Background
Inspiration – such as that bestowed by God on the ...
al truth and Church doctrine; humanity making its own law and taking its own stand.
Martin Heidegger
Martin Heidegger (; ; 26 September 188926 May 1976) was a German philosopher who is best known for contributions to phenomenology, hermeneutics, and existentialism. He is among the most important and influential philosophers of the 20th ce ...
938(2002) '' The Age of the World Picture'' quotation: Ingraffia, Brian D. (1995 ''Postmodern theory and biblical theology: vanquishing God's shadow'' p. 126 In modernity, the guarantor of truth is not God anymore but human beings, each of whom is a "self-conscious shaper and guarantor" of their own reality. In that way, each person is turned into a reasoning adult, a subject and agent,Lovitt, Tom (1977) introduction to
Martin Heidegger
Martin Heidegger (; ; 26 September 188926 May 1976) was a German philosopher who is best known for contributions to phenomenology, hermeneutics, and existentialism. He is among the most important and influential philosophers of the 20th ce ...
's ''The question concerning technology, and other essays'', pp. xxv–xxvi as opposed to a child obedient to God. This change in perspective was characteristic of the shift from the Christian medieval period to the modern period, a shift that had been anticipated in other fields, and which was now being formulated in the field of philosophy by Descartes.
This anthropocentric perspective of Descartes's work, establishing human reason as autonomous, provided the basis for the Enlightenment's emancipation from God and the Church. According to
Martin Heidegger
Martin Heidegger (; ; 26 September 188926 May 1976) was a German philosopher who is best known for contributions to phenomenology, hermeneutics, and existentialism. He is among the most important and influential philosophers of the 20th ce ...
, the perspective of Descartes's work also provided the basis for all subsequent
anthropology
Anthropology is the scientific study of humanity, concerned with human behavior, human biology, cultures, societies, and linguistics, in both the present and past, including past human species. Social anthropology studies patterns of be ...
.Heidegger 938(2002), p. 75 quotation: Descartes's philosophical revolution is sometimes said to have sparked modern anthropocentrism and
subjectivism
Subjectivism is the doctrine that "our own mental activity is the only unquestionable fact of our experience", instead of shared or communal, and that there is no external or objective truth.
The success of this position is historically attribute ...
.
Mathematical legacy
One of Descartes's most enduring legacies was his development of Cartesian or analytic geometry, which uses algebra to describe geometry. Descartes "invented the convention of representing unknowns in equations by ''x'', ''y'', and ''z'', and knowns by ''a'', ''b'', and ''c''". He also "pioneered the standard notation" that uses superscripts to show the powers or exponents; for example, the 2 used in x2 to indicate x squared. He was first to assign a fundamental place for algebra in the system of knowledge, using it as a method to automate or mechanize reasoning, particularly about abstract, unknown quantities. European mathematicians had previously viewed geometry as a more fundamental form of mathematics, serving as the foundation of algebra. Algebraic rules were given geometric proofs by mathematicians such as Pacioli, Cardan, Tartaglia and
Ferrari
Ferrari S.p.A. (; ) is an Italian luxury sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari (1898–1988) in 1939 from the Alfa Romeo racing division as ''Auto Avio Costruzioni'', the company built its first car in ...
. Equations of
degree
Degree may refer to:
As a unit of measurement
* Degree (angle), a unit of angle measurement
** Degree of geographical latitude
** Degree of geographical longitude
* Degree symbol (°), a notation used in science, engineering, and mathematics
...
higher than the third were regarded as unreal, because a three-dimensional form, such as a cube, occupied the largest dimension of reality. Descartes professed that the abstract quantity ''a2'' could represent length as well as an area. This was in opposition to the teachings of mathematicians such as
François Viète
François Viète, Seigneur de la Bigotière ( la, Franciscus Vieta; 1540 – 23 February 1603), commonly know by his mononym, Vieta, was a French mathematician whose work on new algebra was an important step towards modern algebra, due to i ...
, who insisted that a second power must represent an area. Although Descartes did not pursue the subject, he preceded
Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of math ...
in envisioning a more general science of algebra or "universal mathematics," as a precursor to symbolic logic, that could encompass logical principles and methods symbolically, and mechanize general reasoning.
Descartes's work provided the basis for the
calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
developed by Newton and Leibniz, who applied the infinitesimal calculus to the tangent line problem, thus permitting the evolution of that branch of modern mathematics. His rule of signs is also a commonly used method to determine the number of positive and negative roots of a polynomial.
The beginning to Descartes's interest in physics is accredited to the amateur scientist and mathematician Isaac Beeckman, who was at the forefront of a new school of thought known as
mechanical philosophy
The mechanical philosophy is a form of natural philosophy which compares the universe to a large-scale mechanism (i.e. a machine). The mechanical philosophy is associated with the scientific revolution of early modern Europe. One of the first expo ...
. With this foundation of reasoning, Descartes formulated many of his theories on mechanical and geometric physics. Descartes discovered an early form of the law of
conservation of momentum
In Newtonian mechanics, momentum (more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. If is an object's mass an ...
(a measure of the motion of an object), and envisioned it as pertaining to motion in a straight line, as opposed to perfect circular motion, as Galileo had envisioned it. He outlined his views on the universe in his ''
Principles of Philosophy
''Principles of Philosophy'' ( la, Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the '' Discourse on Method'' and '' Meditations on First Philosophy''.Guy Durandin, ''Les Principes de la Philosophie. Int ...
'', where he describes his three laws of motion. ( Newton's own laws of motion would later be modeled on Descartes' exposition.)
Descartes also made contributions to the field of
optics
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviole ...
. He showed by using geometric construction and the
law of refraction
Snell's law (also known as Snell–Descartes law and ibn-Sahl law and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through ...
(also known as Descartes's law, or more commonly Snell's law outside France) that the angular radius of a
rainbow
A rainbow is a meteorological phenomenon that is caused by reflection, refraction and dispersion of light in water droplets resulting in a spectrum of light appearing in the sky. It takes the form of a multicoloured circular arc. Rainbows c ...
is 42 degrees (i.e., the angle subtended at the eye by the edge of the rainbow and the ray passing from the sun through the rainbow's centre is 42°). He also independently discovered the
law of reflection
Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface.
The law of reflection states that a reflected ray of light emerges from the reflecting surface at the same angle to the surfac ...
, and his essay on optics was the first published mention of this law.
Influence on Newton's mathematics
Current popular opinion holds that Descartes had the most influence of anyone on the young
Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a " natural philosopher"), widely recognised as one of the grea ...
, and this is arguably one of his most important contributions. Decartes' influence extended not directly from his original French edition of ''La Géométrie'', however, but rather from Frans van Schooten's expanded second Latin edition of the work. Newton continued Descartes' work on
cubic equation
In algebra, a cubic equation in one variable is an equation of the form
:ax^3+bx^2+cx+d=0
in which is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of th ...
s, which freed the subject from fetters of the Greek perspectives. The most important concept was his very modern treatment of single variables. Newton rejected Descartes' vortex theory of planetary motion in favor of his law of universal gravitation, and most of the second book of Newton's Principia is devoted to his counterargument.
Contemporary reception
In commercial terms, The ''Discourse'' appeared during Descartes's lifetime in a single edition of 500 copies, 200 of which were set aside for the author. Sharing a similar fate was the only French edition of The ''Meditations'', which had not managed to sell out by the time of Descartes's death. A concomitant Latin edition of the latter was, however, eagerly sought out by Europe's scholarly community and proved a commercial success for Descartes.
Although Descartes was well known in academic circles towards the end of his life, the teaching of his works in schools was controversial. Henri de Roy (
Henricus Regius
Henricus Regius (; July 29, 1598 – February 19, 1679) was a Dutch philosopher, physician, and professor of medicine at the University of Utrecht from 1638.
Biography
Regius was born in Utrecht, and was also known by his birth name, ''Hendrik de ...
, 1598–1679), Professor of Medicine at the University of Utrecht, was condemned by the Rector of the university, Gijsbert Voet (Voetius), for teaching Descartes's physics.
Purported Rosicrucianism
The membership of Descartes to the Rosicrucians is debated.
The initials of his name have been linked to the R.C.
acronym
An acronym is a word or name formed from the initial components of a longer name or phrase. Acronyms are usually formed from the initial letters of words, as in ''NATO'' (''North Atlantic Treaty Organization''), but sometimes use syllables, as ...
widely used by Rosicrucians. Furthermore, in 1619 Descartes moved to
Ulm
Ulm () is a city in the German state of Baden-Württemberg, situated on the river Danube on the border with Bavaria. The city, which has an estimated population of more than 126,000 (2018), forms an urban district of its own (german: link=no, ...
which was a well renowned international center of the Rosicrucian movement.
During his journey in Germany, Descartes met Johannes Faulhaber who had previously expressed his personal commitment to join the brotherhood.
Descartes dedicated the work titled ''The Mathematical Treasure Trove of Polybius, Citizen of the World'' to "learned men throughout the world
and especially to the distinguished B.R.C. (Brothers of the Rosy Cross) in Germany". The work wasn't completed and its publication is uncertain.
Bibliography
Writings
* 1618 ''Musicae Compendium'' A treatise on music theory and the aesthetics of music, which Descartes dedicated to early collaborator Isaac Beeckman (written in 1618, first published—posthumously—in 1650).
* 1626–1628. ''Regulae ad directionem ingenii'' (''
Rules for the Direction of the Mind
In 1628 René Descartes began work on an unfinished treatise regarding the proper method for scientific and philosophical thinking entitled ''Regulae ad directionem ingenii'', or ''Rules for the Direction of the Mind''. The work was eventually pub ...
''). Incomplete. First published posthumously in Dutch translation in 1684 and in the original Latin at Amsterdam in 1701 (''R. Des-Cartes Opuscula Posthuma Physica et Mathematica''). The best critical edition, which includes the Dutch translation of 1684, is edited by Giovanni Crapulli (The Hague: Martinus Nijhoff, 1966).
* c. 1630. ''De solidorum elementis''. Concerns the classification of
Platonic solid
In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all e ...
s and three-dimensional
figurate number
The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean
* polyg ...
s. Said by some scholars to prefigure Euler's polyhedral formula. Unpublished; discovered in Descartes' estate in Stockholm 1650, soaked for three days in the Seine in a shipwreck while being shipped back to Paris, copied in 1676 by Leibniz, and lost. Leibniz's copy, also lost, was rediscovered circa 1860 in Hannover.
* 1630–1631. ''La recherche de la vérité par la lumière naturelle'' (''
The Search for Truth by Natural Light
The ''Search for Truth by Natural Light'' (') is an unfinished philosophical dialogue by René Descartes “set in the courtly culture of the ‘’ and ‘’.” It was written in French (presumably after the Meditations was completed) but fir ...
'') unfinished dialogue published in 1701.
* 1630–1633. ''Le Monde'' (''
The World
In its most general sense, the term "world" refers to the totality of entities, to the whole of reality or to everything that is. The nature of the world has been conceptualized differently in different fields. Some conceptions see the worl ...
'') and ''L'Homme'' (''Man''). Descartes's first systematic presentation of his natural philosophy. ''Man'' was published posthumously in Latin translation in 1662; and ''The World'' posthumously in 1664.
* 1637. ''Discours de la méthode'' (''
Discourse on the Method
''Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences'' (french: Discours de la Méthode Pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical ...
''). An introduction to the ''Essais'', which include the ''Dioptrique'', the ''Météores'' and the ''Géométrie''.
* 1637. '' La Géométrie'' (''Geometry''). Descartes's major work in mathematics. There is an English translation by Michael Mahoney (New York: Dover, 1979).
* 1641. ''Meditationes de prima philosophia'' (''
Meditations on First Philosophy
''Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated'' ( la, Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur) is a philosophical treatise ...
''), also known as ''Metaphysical Meditations''. In Latin; a second edition, published the following year, included an additional objection and reply, and a ''Letter to Dinet''. A French translation by the
Duke of Luynes The Duke of Luynes (french: duc de Luynes ) is a territorial name belonging to the noble French house d'Albert. Luynes is, today, a commune of the Indre-et-Loire ''département'' in France. The family of Albert, which sprang from Thomas Alberti ( ...
, probably done without Descartes's supervision, was published in 1647. Includes six Objections and Replies.
* 1644. ''Principia philosophiae'' (''
Principles of Philosophy
''Principles of Philosophy'' ( la, Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the '' Discourse on Method'' and '' Meditations on First Philosophy''.Guy Durandin, ''Les Principes de la Philosophie. Int ...
''), a Latin textbook at first intended by Descartes to replace the Aristotelian textbooks then used in universities. A French translation, ''Principes de philosophie'' by Claude Picot, under the supervision of Descartes, appeared in 1647 with a letter-preface to Princess Elisabeth of Bohemia.
* 1647. ''Notae in programma'' (''Comments on a Certain Broadsheet''). A reply to Descartes's one-time disciple Henricus Regius.
* 1648. ''La description du corps humain'' (''
The Description of the Human Body
The ''Treatise on Man'' (french: L'Homme) is an unfinished treatise by René Descartes written in the 1630s and published posthumously, firstly in 1662 in Latin, then in 1664 in French by Claude Clerselier. The 1664 edition is accompanied by a sho ...
''). Published posthumously by Clerselier in 1667.
* 1648. ''Responsiones Renati Des Cartes...'' (''Conversation with Burman''). Notes on a Q&A session between Descartes and Frans Burman on 16 April 1648. Rediscovered in 1895 and published for the first time in 1896. An annotated bilingual edition (Latin with French translation), edited by Jean-Marie Beyssade, was published in 1981 (Paris: PUF).
* 1649. ''Les passions de l'âme'' (''
Passions of the Soul
In his final philosophical treatise, ''The Passions of the Soul'' (french: Les Passions de l'âme), completed in 1649 and dedicated to Princess Elisabeth of Bohemia, René Descartes contributes to a long tradition of philosophical inquiry into the ...
''). Dedicated to Princess Elisabeth of the Palatinate.
* 1657. ''Correspondance'' (three volumes: 1657, 1659, 1667). Published by Descartes's literary executor
Claude Clerselier
Claude Clerselier (1614, in Paris – 1684, in Paris) was a French editor and translator.
Clerselier was a lawyer in the Parlement of Paris and resident for the King of France in Sweden. He was the brother-in-law of Pierre Chanut, and served as ...
. The third edition, in 1667, was the most complete; Clerselier omitted, however, much of the material pertaining to mathematics.
In January 2010, a previously unknown letter from Descartes, dated 27 May 1641, was found by the Dutch philosopher Erik-Jan Bos when browsing through
Google
Google LLC () is an American multinational technology company focusing on search engine technology, online advertising, cloud computing, computer software, quantum computing, e-commerce, artificial intelligence, and consumer electronics. ...
. Bos found the letter mentioned in a summary of autographs kept by Haverford College in
Haverford, Pennsylvania
Haverford is an unincorporated community located in both Haverford Township in Delaware County, Pennsylvania, United States, and Lower Merion Township in Montgomery County, approximately west of Philadelphia. The Pennsylvania Railroad (PRR) ope ...
. The college was unaware that the letter had never been published. This was the third letter by Descartes found in the last 25 years.
File:Handwritten letter by Descartes December 1638.jpg, Handwritten letter by Descartes, December 1638
File:René Descartes 1644 Principia philosophiae.jpg, ''Principia philosophiae'', 1644
Collected editions
* ''Oeuvres de Descartes'' edited by Charles Adam and
Paul Tannery
Paul Tannery (20 December 1843 – 27 November 1904) was a French mathematician and historian of mathematics. He was the older brother of mathematician Jules Tannery, to whose ''Notions Mathématiques'' he contributed an historical chapter. Thou ...
, Paris: Léopold Cerf, 1897–1913, 13 volumes; new revised edition, Paris: Vrin-CNRS, 1964–1974, 11 volumes (the first 5 volumes contains the correspondence). his edition is traditionally cited with the initials ''AT'' (for Adam and Tannery) followed by a volume number in Roman numerals; thus ''AT'' VII refers to ''Oeuvres de Descartes'' volume 7.* ''Étude du bon sens, La recherche de la vérité et autres écrits de jeunesse (1616–1631)'' edited by Vincent Carraud and Gilles Olivo, Paris: PUF, 2013.
* Descartes, ''Œuvres complètes'', new edition by Jean-Marie Beyssade and Denis Kambouchner, Paris: Gallimard, published volumes:
** I: ''Premiers écrits. Règles pour la direction de l'esprit'', 2016.
** III: ''Discours de la Méthode et Essais'', 2009.
** VIII.1: ''Correspondance, 1'' edited by Jean-Robert Armogathe, 2013.
** VIII.2: ''Correspondance, 2'' edited by Jean-Robert Armogathe, 2013.
* ''René Descartes. Opere 1637–1649'', Milano, Bompiani, 2009, pp. 2531. Edizione integrale (di prime edizioni) e traduzione italiana a fronte, a cura di G. Belgioioso con la collaborazione di I. Agostini, M. Marrone, M. Savini .
* ''René Descartes. Opere 1650–2009'', Milano, Bompiani, 2009, pp. 1723. Edizione integrale delle opere postume e traduzione italiana a fronte, a cura di G. Belgioioso con la collaborazione di I. Agostini, M. Marrone, M. Savini .
* ''René Descartes. Tutte le lettere 1619–1650'', Milano, Bompiani, 2009 IIa ed., pp. 3104. Nuova edizione integrale dell'epistolario cartesiano con traduzione italiana a fronte, a cura di G. Belgioioso con la collaborazione di I. Agostini, M. Marrone, F.A. Meschini, M. Savini e J.-R. Armogathe .
* ''René Descartes, Isaac Beeckman, Marin Mersenne. Lettere 1619–1648'', Milano, Bompiani, 2015 pp. 1696. Edizione integrale con traduzione italiana a fronte, a cura di Giulia Beglioioso e Jean Robert-Armogathe .
* 1955. ''The Philosophical Works'', E.S. Haldane and G.R.T. Ross, trans. Dover Publications. This work is traditionally cited with the initials ''HR'' (for Haldane and Ross) followed by a volume number in Roman numerals; thus ''HR'' II refers to volume 2 of this edition.
* 1988. ''The Philosophical Writings of Descartes'' in 3 vols. Cottingham, J., Stoothoff, R., Kenny, A., and Murdoch, D., trans. Cambridge University Press. This work is traditionally cited with the initials ''CSM'' (for Cottingham, Stoothoff, and Murdoch) or ''CSMK'' (for Cottingham, Stoothoff, Murdoch, and Kenny) followed by a volume number in Roman numeral; thus ''CSM'' II refers to volume 2 of this edition.
* 1998. ''René Descartes: The World and Other Writings.'' Translated and edited by
Stephen Gaukroger
Stephen Gaukroger, (born 9 July 1950) is a British/Australian historian of philosophy and science. He is Emeritus Professor of History of Philosophy and History of Science at the University of Sydney.
Life
Stephen Gaukroger was born in Oldh ...
. Cambridge University Press. (This consists mainly of scientific writings, on physics, biology, astronomy, optics, etc., which were very influential in the 17th and 18th centuries, but which are routinely omitted or much abridged in modern collections of Descartes's ''philosophical'' works.)
Michael S. Mahoney
Michael Sean Mahoney (June 30, 1939 – July 23, 2008) was a historian of science.
Mahoney was born in New York City, and did his undergraduate studies at Harvard University, graduating in 1960. He earned a Ph.D. in history and history of scienc ...
.
* 1633. ''Treatise of Man'', tr. by T. S. Hall. Cambridge, MA: Harvard University Press, 1972.
* 1637. ''Discourse on the Method, Optics, Geometry and Meteorology'', trans. P. J. Olscamp, Revised edition (Indianapolis: Hackett, 2001).
* 1637 ''The Geometry of René Descartes'' , trans. D. E. Smith & Marcia Latham (Chicago: Open Court, 1925).
* 1641. ''Meditations on First Philosophy'', tr. by J. Cottingham, Cambridge: Cambridge University Press, 1996. Latin original. Alternative English title: ''Metaphysical Meditations''. Includes six ''Objections and Replies''. A second edition published the following year, includes an additional ''Objection and Reply'' and a ''Letter to Dinet'' HTML Online Latin-French-English Edition .
* 1644 ''Principles of Philosophy'' , trans. V. R. Miller & R. P. Miller: (
Dordrecht
Dordrecht (), historically known in English as Dordt (still colloquially used in Dutch, ) or Dort, is a city and municipality in the Western Netherlands, located in the province of South Holland. It is the province's fifth-largest city after R ...
/Boston/London:
Kluwer Academic Publishers
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Originally founded in 1842 in ...
, 1982).
* 1648. ''Descartes' Conversation with Burman'', tr. by J. Cottingham, Oxford: Clarendon Press, 1989.
* 1649 ''Passions of the Soul'' , trans. S. H. Voss (Indianapolis: Hackett, 1989). Dedicated to Elisabeth of the Palatinate.
* 1619–1648. ''René Descartes, Isaac Beeckman, Marin Mersenne. Lettere 1619–1648'', ed. by Giulia Beglioioso and Jean Robert-Armogathe, Milano, Bompiani, 2015 pp. 1696.
Cartesian circle
The Cartesian circle is a potential mistake in reasoning attributed to French philosopher René Descartes.
The argument
Descartes argues – for example, in the third of his '' Meditations on First Philosophy'' – that whatever one clearly and ...
*
Cartesian doubt
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596Feb 11, 1650). Scruton, R.''Modern Philosophy: An Introduction and Survey''(London: Penguin Books, 1994). Leiber, ...
*
Cartesian materialism
In philosophy of mind, Cartesian materialism is the idea that at some place (or places) in the brain, there is some set of information that directly corresponds to our conscious experience. Contrary to its name, Cartesian materialism is not a view ...
(not a view that was held by or formulated by Descartes)
*
Descartes number In number theory, a Descartes number is an odd number which would have been an odd perfect number, if one of its composite factors were prime. They are named after René Descartes who observed that the number would be an odd perfect number if on ...
*
Cartesian plane
A Cartesian coordinate system (, ) in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in ...
*
Descartes Prize
The Descartes Prize was an annual award in science given by the European Union, named in honour of the French mathematician and philosopher, René Descartes.
The prizes recognized Outstanding Scientific and Technological Achievements Resulting f ...
*
Descartes-Huygens Prize
The Descartes-Huygens Prize is an yearly scientific prize created in 1995 by the French and the Dutch governments, and attributed to two scientists of international level, a French one chosen by the Koninklijke Nederlandse Akademie van Wetenschapp ...
Cartesian product of graphs Cartesian means of or relating to the French philosopher René Descartes—from his Latinized name ''Cartesius''. It may refer to:
Mathematics
* Cartesian closed category, a closed category in category theory
*Cartesian coordinate system, moder ...
*
Cartesian theater
"Cartesian theater" is a derisive term coined by philosopher and cognitive scientist Daniel Dennett to refer pointedly to a defining aspect of what he calls Cartesian materialism, which he considers to be the often unacknowledged remnants of Carte ...
*
Cartesian tree
In computer science, a Cartesian tree is a binary tree derived from a sequence of numbers; it can be uniquely defined from the properties that it is heap-ordered and that a symmetric (in-order) traversal of the tree returns the original sequence ...
Highlands
Highland is a broad term for areas of higher elevation, such as a mountain range or mountainous plateau.
Highland, Highlands, or The Highlands, may also refer to:
Places Albania
* Dukagjin Highlands
Armenia
* Armenian Highlands
Australia
*Sou ...
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 i ...
Descartes' theorem on total angular defect In geometry, the (angular) defect (or deficit or deficiency) means the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the Euclidean plane would. The opposite notion is the angle excess, excess.
Classi ...
*
Folium of Descartes
In geometry, the folium of Descartes (; named for René Decartes) is an algebraic curve defined by the implicit equation
:x^3 + y^3 - 3 a x y = 0.
History
The curve was first proposed and studied by René Descartes in 1638. Its claim to fam ...
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Bucket argument Isaac Newton's rotating bucket argument (also known as Newton's bucket) was designed to demonstrate that true rotational motion cannot be defined as the relative rotation of the body with respect to the immediately surrounding bodies. It is one of ...
List of things named after René Descartes
{{unref, date=March 2022
This is the list of things named after René Descartes (1596–1650), a French philosopher, mathematician, and scientist.
Computer science
* Cartesian genetic programming
* Cartesian tree
Mathematics
*Cartesian closed ca ...
Notes
References
Citations
Sources
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* ; (2009) Third Edition, edited with a new introduction by James McGilvray, Cambridge University Press, .
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* Farrell, John. "Demons of Descartes and Hobbes." ''Paranoia and Modernity: Cervantes to Rousseau'' (Cornell UP, 2006), chapter 7.
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* Gillespie, A. (2006) Descartes' Demon: A Dialogical Analysis of 'Meditations on First Philosophy.' Theory & Psychology, 16, 761–781.
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* Heidegger, Martin938(2002) ''The Age of the World Picture'' i ''Off the Beaten Track'' pp. 57–85
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* Monnoyeur, Françoise (November 2017), ''Matière et espace dans le système cartésien'', Paris, Harmattan, 266 pages. .
* Moreno Romo, Juan Carlos, ''Vindicación del cartesianismo radical'', Anthropos, Barcelona, 2010.
* Moreno Romo, Juan Carlos (Coord.), ''Descartes vivo. Ejercicios de hermenéutica cartesiana'', Anthropos, Barcelona, 2007.
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* Negri, Antonio (2007) ''The Political Descartes'', Verso.
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* Sasaki Chikara (2003) ''Descartes's Mathematical Thought'' . (Boston Studies in the Philosophy of Science, 237.) xiv + 496 pp., bibl., indexes. Dordrecht/Boston/London: Kluwer Academic Publishers.
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* Serfati, Michel, 2005, "Géometrie" in Ivor Grattan-Guinness, ed., ''Landmark Writings in Western Mathematics''. Elsevier: 1–22.
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* Watson, Richard A. (2007). Cogito, Ergo Sum: a life of René Descartes. David R Godine. 2002, reprint 2007. . Was chosen by the New York Public library as one of "25 Books to Remember from 2002"
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