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  2. 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 ...

  3. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes ( / deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; Latinized: Renatus Cartesius; [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 ...

  4. The World (book) - Wikipedia

    en.wikipedia.org/wiki/The_World_(book)

    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, from method, to metaphysics, to physics and biology . Descartes espoused mechanical philosophy, a form of natural ...

  5. 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]

  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 doubt - Wikipedia

    en.wikipedia.org/wiki/Cartesian_doubt

    Cartesian doubt is a systematic process of being skeptical about (or doubting) the truth of one's beliefs, which has become a characteristic method in philosophy. [3] : 403 Additionally, Descartes' method has been seen by many as the root of the modern scientific method. This method of doubt was largely popularized in Western philosophy by ...

  8. Principles of Philosophy - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Philosophy

    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. [1] It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship.

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