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  2. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes ( / deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; [note 3] [11] 31 March 1596 – 11 February 1650) [12] [13] [14] : 58 was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science. Mathematics was ...

  3. Cogito, ergo sum - Wikipedia

    en.wikipedia.org/wiki/Cogito,_ergo_sum

    t. e. 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]

  4. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    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 ...

  5. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    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 is at most the number of sign changes in the sequence of polynomial's ...

  6. Rules for the Direction of the Mind - Wikipedia

    en.wikipedia.org/wiki/Rules_for_the_Direction_of...

    Regulae ad directionem ingenii, or Rules for the Direction of the Mind is an unfinished treatise regarding the proper method for scientific and philosophical thinking by René Descartes. Descartes started writing the work in 1628, and it was eventually published in 1701 after Descartes' death. [1] This treatise outlined the basis for his later ...

  7. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    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 ...

  8. La Géométrie - Wikipedia

    en.wikipedia.org/wiki/La_Géométrie

    t. e. La Géométrie was published in 1637 as an appendix to Discours de la méthode ( Discourse on the Method ), written by René Descartes. In the Discourse, Descartes presents his method for obtaining clarity on any subject. La Géométrie and two other appendices, also by Descartes, La Dioptrique ( Optics) and Les Météores ( Meteorology ...

  9. Mathematicism - Wikipedia

    en.wikipedia.org/wiki/Mathematicism

    Mathematicism is 'the effort to employ the formal structure and rigorous method of mathematics as a model for the conduct of philosophy'. [1] or else it is the epistemological view that reality is fundamentally mathematical. [2] The term has been applied to a number of philosophers, including Pythagoras [3] and René Descartes [4] although the ...

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