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  2. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes ( / deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; [note 3] [11] 31 March 1596 – 11 February 1650) [12] [13] [14] : 58 was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science. Mathematics was ...

  3. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    t. e. Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably François Poullain de la Barre, Nicolas Malebranche and Baruch Spinoza. [1] Descartes is often regarded as the first thinker to emphasize the use of reason to develop the natural ...

  4. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/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 the conclusion ...

  5. Matter - Wikipedia

    en.wikipedia.org/wiki/Matter

    Matter. For other uses, see Matter (disambiguation). Hydrogen in its plasma state is the most abundant ordinary matter in the universe. In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume. [1] All everyday objects that can be touched are ultimately composed of atoms, which are ...

  6. Reductionism - Wikipedia

    en.wikipedia.org/wiki/Reductionism

    Reductionism is any of several related philosophical ideas regarding the associations between phenomena which can be described in terms of other simpler or more fundamental phenomena. [1] It is also described as an intellectual and philosophical position that interprets a complex system as the sum of its parts. [2]

  7. Mathematical chemistry - Wikipedia

    en.wikipedia.org/wiki/Mathematical_chemistry

    Chemistry. Mathematical chemistry [1] is the area of research engaged in novel applications of mathematics to chemistry; it concerns itself principally with the mathematical modeling of chemical phenomena. [2] Mathematical chemistry has also sometimes been called computer chemistry, but should not be confused with computational chemistry .

  8. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    Descartes' rule of signs. In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's ...

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