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  2. Infinitesimal - Wikipedia

    en.wikipedia.org/wiki/Infinitesimal

    For example, the commutativity axiom x + y = y + x holds. A real closed field has all the first-order properties of the real number system, regardless of whether they are usually taken as axiomatic, for statements involving the basic ordered-field relations +, ×, and ≤. This is a stronger condition than obeying the ordered-field axioms.

  3. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    Catholic philosophy. 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 ...

  4. 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 ...

  5. 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 ...

  6. Tobler's first law of geography - Wikipedia

    en.wikipedia.org/wiki/Tobler's_first_law_of...

    The First Law of Geography, according to Waldo Tobler, is "everything is related to everything else, but near things are more related than distant things." [1] This first law is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is utilized specifically for the inverse distance weighting method for ...

  7. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called a Voronoi cell ...

  8. Cartography - Wikipedia

    en.wikipedia.org/wiki/Cartography

    t. e. Cartography ( / kɑːrˈtɒɡrəfi /; from Ancient Greek: χάρτης chartēs, 'papyrus, sheet of paper, map'; and γράφειν graphein, 'write') is the study and practice of making and using maps. Combining science, aesthetics and technique, cartography builds on the premise that reality (or an imagined reality) can be modeled in ...

  9. 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]

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