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  2. 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 ...

  3. 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]

  4. Cartesian doubt - Wikipedia

    en.wikipedia.org/wiki/Cartesian_doubt

    René Descartes. 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. 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 ...

  6. Principles of Philosophy - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Philosophy

    Principles of Philosophy (Latin: Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the Discourse on Method and Meditations on First Philosophy. [1] It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship.

  7. Mind–body problem - Wikipedia

    en.wikipedia.org/wiki/Mind–body_problem

    The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body. [1][2] It is not obvious how the concept of the mind and the concept of the body relate. For example, feelings of sadness (which are mental events) cause people to cry (which is a physical state of the body).

  8. 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 ...

  9. Meditations on First Philosophy - Wikipedia

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

    (In fact, Descartes began work on the Meditations in 1639.) [2] One of the most influential philosophical texts ever written, it is widely read to this day. [ 3 ] The book consists of the presentation of Descartes' metaphysical system at its most detailed level and in the expanding of his philosophical system, first introduced in the fourth ...