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  2. Cartesian linguistics - Wikipedia

    en.wikipedia.org/wiki/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. As well as Descartes, Chomsky surveys other examples of rationalist thought in 17th-century linguistics ...

  3. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    Descartes' rule of signs. In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients ...

  4. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

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

  5. 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 ...

  6. 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 René ...

  7. Wax argument - Wikipedia

    en.wikipedia.org/wiki/Wax_argument

    The wax argument or the sheet of wax example is a thought experiment that René Descartes created in the second of his Meditations on First Philosophy. He devised it to analyze what properties are essential for bodies, show how uncertain our knowledge of the world is compared to our knowledge of our minds, and argue for rationalism. [1][2]

  8. Cartesian product - Wikipedia

    en.wikipedia.org/wiki/Cartesian_product

    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.

  9. Discourse on the Method - Wikipedia

    en.wikipedia.org/wiki/Discourse_on_the_Method

    Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences (French: Discours de la Méthode pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical treatise published by René Descartes in 1637. It is best known as the source of the famous quotation ...