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  2. 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]

  3. 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.

  4. Cartesian doubt - Wikipedia

    en.wikipedia.org/wiki/Cartesian_doubt

    Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596–February 11, 1650). [1] [2]: 88 Cartesian doubt is also known as Cartesian skepticism, methodic doubt, methodological skepticism, universal doubt, systematic doubt, or hyperbolic doubt.

  5. Francine Descartes - Wikipedia

    en.wikipedia.org/wiki/Francine_Descartes

    Descartes mourning his daughter. Francine Descartes (19 July 1635, Deventer – 7 September 1640, Amersfoort) was René Descartes's daughter.. Francine was the daughter of Helena Jans van der Strom, [1] a domestic servant of Thomas Sergeant — a bookshop owner and associate of Descartes at whose house in Amsterdam Descartes lodged on 15 October 1634.

  6. 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.

  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. Meditations on First Philosophy - Wikipedia

    en.wikipedia.org/wiki/Meditations_on_First...

    Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated (Latin: Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur) is a philosophical treatise by René Descartes first published in Latin in 1641.

  9. Descartes number - Wikipedia

    en.wikipedia.org/wiki/Descartes_number

    In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime.They are named after René Descartes who observed that the number D = 3 2 ⋅7 2 ⋅11 2 ⋅13 2 ⋅22021 = (3⋅1001) 2 ⋅ (22⋅1001 − 1) = 198585576189 would be an odd perfect number if only 22021 were a prime number, since the sum-of-divisors ...