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  2. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.

  3. Tree of knowledge (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Tree_of_knowledge_(philosophy)

    Tree of knowledge (philosophy) The tree of knowledge or tree of philosophy is a metaphor presented by the French philosopher René Descartes in the preface to the French translation of his work Principles of Philosophy to describe the relations among the different parts of philosophy in the shape of a tree. He describes knowledge as a tree.

  4. Principia philosophiae cartesianae - Wikipedia

    en.wikipedia.org/wiki/Principia_philosophiae...

    Principia philosophiae cartesianae ( PPC; "The Principles of Cartesian Philosophy") or Renati Descartes principia philosophiae, more geometrico demonstrata ("The Principles of René Descartes' Philosophy, Demonstrated in Geometrical Order") is a philosophical work of Baruch Spinoza published in Amsterdam in 1663.

  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. Cartesian circle - Wikipedia

    en.wikipedia.org/wiki/Cartesian_circle

    Cartesian circle. The Cartesian circle (also known as Arnauld 's circle [1]) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perception, which is itself guaranteed by God.

  7. Extension (metaphysics) - Wikipedia

    en.wikipedia.org/wiki/Extension_(metaphysics)

    Descartes. René Descartes defined extension as the property of existing in more than one dimension, a property that was later followed up in Grassmann's n-dimensional algebra. For Descartes, the primary characteristic of matter is extension (res extensa), just as the primary characteristic of mind is thought (res cogitans). Newton

  8. The World (book) - Wikipedia

    en.wikipedia.org/wiki/The_World_(book)

    The World, also called Treatise on the Light ( French title: Traité du monde et de la lumière ), is a book by René Descartes (1596–1650). Written between 1629 and 1633, it contains a nearly complete version of his philosophy, from method, to metaphysics, to physics and biology . Descartes espoused mechanical philosophy, a form of natural ...

  9. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes ( / deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; Latinized:Renatus Cartesius; [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.