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  2. 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 ...

  3. 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 ...

  4. Rules for the Direction of the Mind - Wikipedia

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

    Regulae ad directionem ingenii, or Rules for the Direction of the Mind is an unfinished treatise regarding the proper method for scientific and philosophical thinking by René Descartes. Descartes started writing the work in 1628, and it was eventually published in 1701 after Descartes' death. [1] This treatise outlined the basis for his later ...

  5. Cogito, ergo sum - Wikipedia

    en.wikipedia.org/wiki/Cogito,_ergo_sum

    t. e. 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]

  6. Mind–body problem - Wikipedia

    en.wikipedia.org/wiki/Mind–body_problem

    Illustration of mind–body dualism by René Descartes.Inputs are passed by the sensory organs to the pineal gland, and from there to the immaterial spirit.. The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body.

  7. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    Deductive reasoning. Deductive reasoning is the process of drawing valid inferences. An inference is valid if its conclusion follows logically from its premises, meaning that it is impossible for the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and " Socrates is a man" to ...

  8. Common sense - Wikipedia

    en.wikipedia.org/wiki/Common_sense

    René Descartes is the source of the most common way of understanding the "common sense" as a widely spread type of judgement. But Descartes used two different terms in his work, not only the Latin term "sensus communis", but also the French term bon sens, with which he opens his Discourse on Method. And this second concept survived better.

  9. Mind–body dualism - Wikipedia

    en.wikipedia.org/wiki/Mind–body_dualism

    In the philosophy of mind, mind–body dualism denotes either the view that mental phenomena are non-physical, [1] or that the mind and body are distinct and separable. [2] Thus, it encompasses a set of views about the relationship between mind and matter, as well as between subject and object, and is contrasted with other positions, such as ...