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v. t. e. 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. [ 1] Descartes is often regarded as the first thinker to emphasize the use of reason to develop the natural ...
In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B. [ 1] In terms of set-builder notation, that is [ 2][ 3] A table can be created by taking the Cartesian product of a set of rows and a set of columns.
Cartesian circle. The Cartesian circle (also known as Arnauld 's circle[ 1]) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perception, which is itself guaranteed by God.
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 also in aviation, rocketry, space science, and spaceflight. It is the foundation of most modern fields ...
The Latin cogito, ergo sum, usually translated into English as " I think, therefore I am ", [ a] is the "first principle" of René Descartes 's philosophy. He originally published it in French as je pense, donc je suis in his 1637 Discourse on the Method, so as to reach a wider audience than Latin would have allowed. [ 1]
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596–February 11, 1650). [ 1 ] [ 2 ] : 88 Cartesian doubt is also known as Cartesian skepticism , methodic doubt , methodological skepticism , universal doubt , systematic doubt , or hyperbolic doubt .
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...
The category C is called Cartesian closed [2] if and only if it satisfies the following three properties: It has a terminal object. Any two objects X and Y of C have a product X × Y in C. Any two objects Y and Z of C have an exponential ZY in C. The first two conditions can be combined to the single requirement that any finite (possibly empty ...