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Descartes (French pronunciation: ) is a commune in the Indre-et-Loire department in central France. It is approximately 29 kilometers east of Richelieu and about 48 kilometers east of Loudun, on the banks of the Creuse River, near the border of the French department of Vienne .

In geometry, the folium of Descartes is an algebraic curve defined by the equation x 3 + y 3 − 3 a x y = 0 {\displaystyle x^{3}+y^{3}-3axy=0\,} . The name comes from the Latin word folium which means " leaf ".

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 imagines that an evil demon, of "utmost power and cunning has employed all his energies in order to deceive me."

The key difference between Fermat's and Descartes' treatments is a matter of viewpoint: Fermat always started with an algebraic equation and then described the geometric curve that satisfied it, whereas Descartes started with geometric curves and produced their equations as one of several properties of the curves.

Principles of Philosophy (Latin: Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the Discourse on Method and Meditations on First Philosophy. It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long

Notably, the evidence of the senses is not seen as properly basic because, Descartes argued, all our sensory experience could be an illusion. In what Keith Lehrer has called "fallible foundationalism", [4] also known as "moderate foundationalism", the division between inferential and non-inferential belief is retained, but the requirement of ...