In one segment of his TV show Cosmos, Carl Sagan tells a story about how science became differentiated from the metaphysical hocus pocus of Pythagorean numero-magic. One day, the Pythagoreans, playing with their new Law about the sum of the squares giving the square of the hypotenuse, discovered irrational numbers. The right triangle formed by the diagonal of a square of edge-length one has a “square root of two” length (in Synergetics we say “second root” since squares have been booted from center stage) and this strange length does not commensurate with any ordinary…



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