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  2. Doubling the cube - Wikipedia

    en.wikipedia.org/wiki/Doubling_the_cube

    Doubling the cube, also known as the Delian problem, is an ancient [a] [1] : 9 geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to ...

  3. Foundations of mathematics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_mathematics

    Mathematics. In a narrow sense, foundations of mathematics is the logical and mathematical framework that allows developing mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc. This includes also the philosophical study of the relation of this framework ...

  4. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Doubling the cube is the construction, using only a straightedge and compass, of the edge of a cube that has twice the volume of a cube with a given edge. This is impossible because the cube root of 2, though algebraic, cannot be computed from integers by addition, subtraction, multiplication, division, and taking square roots.

  5. Descartes Systems Group - Wikipedia

    en.wikipedia.org/wiki/Descartes_Systems_Group

    The Descartes Systems Group Inc. (commonly referred to as Descartes) is a Canadian multinational technology company specializing in logistics software, supply chain management software, and cloud -based services for logistics businesses. Descartes is perhaps best known for its abrupt and unexpected turnaround in the mid-2000s after coming close ...

  6. 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 ...

  7. History of geometry - Wikipedia

    en.wikipedia.org/wiki/History_of_geometry

    Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ( arithmetic ). Classic geometry was focused in compass and straightedge constructions.

  8. 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 ...

  9. 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 ...