Cartesian means of or relating to the French philosopher

René Descartes René Descartes ( , ; ; 31 March 1596 – 11 February 1650) was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and Modern science, science. Mathematics was paramou ...

—from his Latinized name ''Cartesius''. It may refer to:

Mathematics

Cartesian closed category In category theory, a Category (mathematics), category is Cartesian closed if, roughly speaking, any morphism defined on a product (category theory), product of two Object (category theory), objects can be naturally identified with a morphism defin ...

, a closed category in category theory *

Cartesian coordinate system In geometry, a Cartesian coordinate system (, ) in a plane (geometry), plane is a coordinate system that specifies each point (geometry), point uniquely by a pair of real numbers called ''coordinates'', which are the positive and negative number ...

, modern rectangular coordinate system * Cartesian diagram, a construction in category theory *Cartesian geometry, now more commonly called

analytic geometry In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineering, and als ...

Cartesian morphism In mathematics, especially homotopy theory, a cartesian fibration is, roughly, a map so that every lift exists that is a final object among all lifts. For example, the forgetful functor :\textrm \to \textrm from the category of pairs (X, F) of sche ...

, formalisation of ''pull-back'' operation in category theory *

Cartesian oval In geometry, a Cartesian oval is a plane curve consisting of points that have the same linear combination of distances from two fixed points (foci). These curves are named after French mathematician René Descartes, who used them in optics. Defi ...

, a curve *

Cartesian product In mathematics, specifically set theory, the Cartesian product of two sets and , denoted , is the set of all ordered pairs where is an element of and is an element of . In terms of set-builder notation, that is A\times B = \. A table c ...

, a direct product of two sets *

Cartesian product of graphs In graph theory, the Cartesian product of graphs and is a graph such that: * the vertex set of is the Cartesian product ; and * two vertices and are adjacent in if and only if either ** and is adjacent to in , or ** and is adjace ...

, a binary operation on graphs *

Cartesian tree In computer science, a Cartesian tree is a binary tree derived from a sequence of distinct numbers. To construct the Cartesian tree, set its root to be the minimum number in the sequence, and recursively construct its left and right subtrees fro ...

, a binary tree in computer science

Philosophy

* Cartesian anxiety, a hope that studying the world will give us unchangeable knowledge of ourselves and the world *

Cartesian circle The Cartesian circle (also known as Antoine Arnauld, Arnauld's circle) is an example of formal fallacy, fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perce ...

, a potential mistake in reasoning *

Cartesian doubt Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596February 11, 1650). Cartesian doubt is also known as Cartesian skepticism, methodic doubt, methodological skeptic ...

, a form of methodical skepticism as a basis for philosophical rigor *

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, modern ...

, the philosophy of the distinction between mind and body **

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 i ...

, the philosophy of René Descartes ** Cartesianists, followers of Cartesianism *''

Cartesian Meditations ''Cartesian Meditations: An Introduction to Phenomenology'' () is a book by the philosopher Edmund Husserl, based on four lectures he gave at the Sorbonne, in the Amphithéatre Descartes on February 23 and 25, 1929. Over the next two years, he an ...

'', a work by Edmund Husserl *''

Cartesian linguistics The term Cartesian linguistics was coined by Noam Chomsky in his book ''Cartesian Linguistics: A Chapter in the History of Rationalist Thought'' (1966). The adjective "Cartesian" pertains to René Descartes, a prominent 17th-century philosopher. ...

'', a work by Noam Chomsky *

Cartesian theatre The Cartesian theater is a term coined by philosopher and cognitive scientist Daniel Dennett to critique a persistent flaw in theories of mind, introduced in his 1991 book ''Consciousness Explained''. It mockingly describes the idea of consciou ...

, a derisive view of Cartesian dualism coined by Daniel Dennett

Science

Cartesian diver A Cartesian diver or Cartesian devil is a classic science experiment which demonstrates the principle of buoyancy (Archimedes' principle) and the ideal gas law. The first written description of this device is provided by Raffaello Magiotti, ...

, a science experiment demonstrating buoyancy and the ideal gas law *

Cartesian physics ''The World'', also called ''Treatise on the Light'' ( French title: ''Traité du monde et de la lumière''), is a book by René Descartes (1596–1650). Written between 1629 and 1633, it contains a nearly complete version of his philosophy, fr ...

, attempts to explain gravity without a need for action at distance

Mathematics

Philosophy

Science

See also