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  2. 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]

  3. 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 ...

  4. 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 ...

  5. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.

  6. Cogito, ergo sum - Wikipedia

    en.wikipedia.org/wiki/Cogito,_ergo_sum

    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]

  7. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    In the Netherlands, where Descartes had lived for a long time, Cartesianism was a doctrine popular mainly among university professors and lecturers.In Germany the influence of this doctrine was not relevant and followers of Cartesianism in the German-speaking border regions between these countries (e.g., the iatromathematician Yvo Gaukes from East Frisia) frequently chose to publish their ...

  8. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    Snell's law (also known as the Snell–Descartes law, the ibn-Sahl law, [1] and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.

  9. 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 ...