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  2. Rules for the Direction of the Mind - Wikipedia

    en.wikipedia.org/wiki/Rules_for_the_Direction_of...

    Rules 13–24 deal with what Descartes terms "perfectly understood problems", or problems in which all of the conditions relevant to the solution of the problem are known, and which arise principally in arithmetic and geometry. Rules 25–36 deal with "imperfectly understood problems", or problems in which one or more conditions relevant to the ...

  3. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/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), and the difference ...

  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. Blaise Pascal - Wikipedia

    en.wikipedia.org/wiki/Blaise_Pascal

    He was a dualist following Descartes. [45] However, he is also remembered for his opposition to both the rationalism of the likes of Descartes and simultaneous opposition to the main countervailing epistemology, empiricism, preferring fideism. In terms of God, Descartes and Pascal disagreed. Pascal wrote that "I cannot forgive Descartes.

  6. Trademark argument - Wikipedia

    en.wikipedia.org/wiki/Trademark_argument

    The trademark argument [1] is an a priori argument for the existence of God developed by the French philosopher and mathematician René Descartes.The name derives from the fact that the idea of God existing in each person "is the trademark, hallmark or stamp of their divine creator".

  7. Evil demon - Wikipedia

    en.wikipedia.org/wiki/Evil_demon

    In Meditation Three, Descartes is going to establish not only that there is a God but that God is not a deceiver. When Descartes first introduces the evil demon he says, "I will suppose therefore that not God, who is supremely good and the source of truth, but rather some malicious demon, had employed his whole energies in deceiving me."

  8. 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.

  9. Baruch Spinoza - Wikipedia

    en.wikipedia.org/wiki/Baruch_Spinoza

    Spinoza's ancestors, adherents of Crypto-Judaism, faced persecution during the Portuguese Inquisition, enduring torture and public displays of humiliation.In 1597, his paternal grandfather's family left Vidigueira for Nantes and lived outwardly as New Christians, [25] eventually transferring to Holland for an unknown reason. [26]