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  2. Discourse on the Method - Wikipedia

    en.wikipedia.org/wiki/Discourse_on_the_Method

    Descartes uses the analogy of rebuilding a house from secure foundations, and extends the analogy to the idea of needing a temporary abode while his own house is being rebuilt. Descartes adopts the following "three or four" maxims in order to remain effective in the "real world" while experimenting with his method of radical doubt.

  3. 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.

  4. 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.

  5. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    The key difference between Fermat's and Descartes' treatments is a matter of viewpoint: Fermat always started with an algebraic equation and then described the geometric curve that satisfied it, whereas Descartes started with geometric curves and produced their equations as one of several properties of the curves. [12]

  6. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    Kissing circles. Given three mutually tangent circles (black), there are, in general, two possible answers (red) as to what radius a fourth tangent circle can have. 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 ...

  7. Reductionism - Wikipedia

    en.wikipedia.org/wiki/Reductionism

    René Descartes, in De homine (1662), claimed that non-human animals could be explained reductively as automata; meaning essentially as more mechanically complex versions of this Digesting Duck. Reductionism is any of several related philosophical ideas regarding the associations between phenomena which can be described in terms of simpler or ...

  8. History of calculus - Wikipedia

    en.wikipedia.org/wiki/History_of_calculus

    The ancient period introduced some of the ideas that led to integral calculus, but does not seem to have developed these ideas in a rigorous and systematic way. . Calculations of volumes and areas, one goal of integral calculus, can be found in the Egyptian Moscow papyrus (c. 1820 BC), but the formulas are only given for concrete numbers, some are only approximately true, and they are not ...

  9. 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]

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