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   This sentence is a lie.¹

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So says Kürt Gödel in giving us a flavor of one of his incompleteness theorems that shook the foundations of mathematics to the core.

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  For more there’s the DOOR.

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[MORE]

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   “If someone tells you, ‘This sentence is a lie,’ is that person telling the truth or lying? If he or she is telling the truth, then the statement must must indeed be a lie. But if he is lying, then it is true. This quandary is known as the liar paradox.  Even though it appears to be a perfectly reasonable English sentence, there is no way to determine whether it is true or false. What Gödel managed to do was to construct a rigorous mathematical version of the liar paradox using only basic arithmetic.”¹

   It’s interesting to explore, if even briefly, the limits of science and mathematical and logical power in providing explanations.

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   ¹Such is a small portion of “The Unsolvable Problem: A journey into some of the strangest ideas in modern math and physics, Scientific American (October 2018 p.33).