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  2. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    Descartes' Meditations on First Philosophy (1641) continues to be a standard text at most university philosophy departments. Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system was named after him. He is credited as the father of analytic geometry—used in the discovery of infinitesimal calculus and analysis.

  3. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    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 sciences. [2] For him, philosophy was a thinking system ...

  4. Reductionism - Wikipedia

    en.wikipedia.org/wiki/Reductionism

    Theory reductionism: the suggestion that a newer theory does not replace or absorb an older one, but reduces it to more basic terms. Theory reduction itself is divisible into three parts: translation, derivation, and explanation.

  5. Wax argument - Wikipedia

    en.wikipedia.org/wiki/Wax_argument

    t. e. The wax argument or the sheet of wax example is a thought experiment that René Descartes created in the second of his Meditations on First Philosophy. He devised it to analyze what properties are essential for bodies, show how uncertain our knowledge of the world is compared to our knowledge of our minds, and argue for rationalism. [1] [2]

  6. Cogito, ergo sum - Wikipedia

    en.wikipedia.org/wiki/Cogito,_ergo_sum

    Descartes's statement became a fundamental element of Western philosophy, as it purported to provide a certain foundation for knowledge in the face of radical doubt. While other knowledge could be a figment of imagination, deception, or mistake, Descartes asserted that the very act of doubting one's own existence served—at minimum—as proof of the reality of one's own mind; there must be a ...

  7. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    The modern foundations of mathematical analysis were established in 17th century Europe. [3] This began when Fermat and Descartes developed analytic geometry, which is the precursor to modern calculus. Fermat's method of adequality allowed him to determine the maxima and minima of functions and the tangents of curves. [13] Descartes's publication of La Géométrie in 1637, which introduced the ...

  8. 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. A French version ( Les Principes de la Philosophie) followed in 1647.

  9. Philosophical analysis - Wikipedia

    en.wikipedia.org/wiki/Philosophical_analysis

    Philosophical analysis is any of various techniques, typically used by philosophers in the analytic tradition, in order to "break down" (i.e. analyze) philosophical issues. Arguably the most prominent of these techniques is the analysis of concepts (known as conceptual analysis ).