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[quote:A Muse Me:MV8xNzI4MDUzXzM1MzQ3MjEyXzY4RDlFMjA2] [quote:A Muse Me:MV8xNzI4MDUzXzM1MzQ2OTc3X0ZBMDAzOThC] [quote:A Muse Me:MV8xNzI4MDUzXzM1MzQ2ODg1XzkyNTQyRTVG] [quote:A Muse Me:MV8xNzI4MDUzXzM1MzI2OTgwXzZDQkM0NTQ3] [quote:A Muse Me:MV8xNzI4MDUzXzM1MzE0MTE5XzI3MThBNTQ5] 310-2-013 [/quote] Which is this 3-10-2013. Collating... [/quote] :ErisSymbol: [/quote] [quote:http://en.wikipedia.org/wiki/Hand_of_Eris] Mathematical contradiction The Hand is one of several symbols sometimes used to designate the conclusion of a mathematical proof by contradiction. In this setting, it is usually drawn horizontally, with little or no adornment, or some minor variant thereof. While less compact than some of the alternatives (such as the blitz or crosshatch), The Hand has the advantage of being visually suggestive of the core concept of this method of reasoning: The conflicting conclusions are represented by the two arrows, and in order to avoid an impasse, one set of assumptions must give way. [/quote] [quote:http://en.wikipedia.org/wiki/Proof_by_contradiction] The method of proof by contradiction has also been used to show that for any non-degenerate right triangle, the length of the hypotenuse is less than the sum of the lengths of the two remaining sides. The proof relies on the Pythagorean theorem. [/quote] [/quote] [quote:Fascinating Timing] We still do not know whether or not our three-dimensional space satisfies the axioms of Euclid's solid geometry, but we do know that we can't use light rays as our straight lines in this geometry. One of the crucial discoveries of physics is that light rays are deflected as they pass near a very massive object. Thus a ray might bend as it passed a star, and the bend would alter the angle sum of a triangle of light rays. That does not mean that our geometry is a non-Euclidean three-dimensional geometry, but it does mean that we have to be careful in trying to apply such a geometry to the study of light rays traveling interstellar distances. [/quote] [/quote]
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