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“This Sentence Is False”: The Liar Paradox, from Ancient Crete to Modern Code

 “All Cretans are liars,” said the Cretan Epimenides.  “This sentence is false,” echoes every logic textbook.  We’re still arguing 2,600 years later—and the paradox is winning.   _____________________________  /                             \ |   “THIS SENTENCE IS FALSE.”  |  \_____________________________/               |               |  self-reference               v    +---------------------------+    |  Truth flips back on     |    |  itself — paradox loop!  |    +---------------------------+ 1. Meet the Liar The classic one-liner: L: “This sentence is false.” If L is true, then what it asserts—its own falsity—must hold, so L is false. If L is false, then what it asserts isn’t the ca...