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  2. 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 ...

  3. 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 ...

  4. Scientific Revolution - Wikipedia

    en.wikipedia.org/wiki/Scientific_Revolution

    The Scientific Revolution was a series of events that marked the emergence of modern science during the early modern period, when developments in mathematics, physics, astronomy, biology (including human anatomy) and chemistry transformed the views of society about nature. [1][2][3][4][5][6] The Scientific Revolution took place in Europe in the ...

  5. Positivism - Wikipedia

    en.wikipedia.org/wiki/Positivism

    Positivism is a philosophical school that holds that all genuine knowledge is either true by definition or positive –meaning a posteriori facts derived by reason and logic from sensory experience. [1][2] Other ways of knowing, such as intuition, introspection, or religious faith, are rejected or considered meaningless.

  6. 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]

  7. History of scientific method - Wikipedia

    en.wikipedia.org/wiki/History_of_scientific_method

    The history of scientific method considers changes in the methodology of scientific inquiry, as distinct from the history of science itself. The development of rules for scientific reasoning has not been straightforward; scientific method has been the subject of intense and recurring debate throughout the history of science, and eminent natural philosophers and scientists have argued for the ...

  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. Fallibilism - Wikipedia

    en.wikipedia.org/wiki/Fallibilism

    Originally, fallibilism (from Medieval Latin: fallibilis, "liable to error") is the philosophical principle that propositions can be accepted even though they cannot be conclusively proven or justified, [1][2] or that neither knowledge nor belief is certain. [3] The term was coined in the late nineteenth century by the American philosopher ...