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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 Search for Truth by Natural Light [1] (La recherche de la vérité par la lumière naturelle) is an unfinished philosophical dialogue by René Descartes “set in the courtly culture of the ‘ honnête homme ’ and ‘ curiosité ’.” [2] It was written in French (presumably after the Meditations was completed [3]) but first published (Amsterdam, 1684) in Dutch translation in a ...
Daniel Dennett's multiple drafts model of consciousness is a physicalist theory of consciousness based upon cognitivism, which views the mind in terms of information processing. The theory is described in depth in his book, Consciousness Explained , published in 1991.
Snell's law (also known as the Snell–Descartes law, the ibn-Sahl law, [1] and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.
Between 1870 and 1890 the vortex atom theory, which hypothesised that an atom was a vortex in the aether, was popular among British physicists and mathematicians. William Thomson, who became better known as Lord Kelvin, first conjectured that atoms might be vortices in the aether that pervades space.
Intuition and deduction, says Descartes, are the unique possible sources of knowledge of the human intellect; [31] the latter is a "connected sequence of intuitions", [32] each of which is a priori a self-evident, clear and distinct idea, before it is connected with the other ideas within a logical demonstration.
Descartes' background in geometry and mathematics influenced his ideas on the truth and reasoning, causing him to develop a system of general reasoning now used for most mathematical reasoning. Similar to postulates, Descartes believed that ideas could be self-evident and that reasoning alone must prove that observations are reliable.
George Berkeley (/ ˈ b ɑːr k l i / BARK-lee; [5] [6] 12 March 1685 – 14 January 1753) – known as Bishop Berkeley (Bishop of Cloyne of the Anglican Church of Ireland) – was an Anglo-Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism" (later referred to as "subjective idealism" by others).
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