gordian knot

Noun
  1. Any very difficult problem;
    Insoluble in its own terms (synset 106798398)
    is a type of: problem - a question raised for consideration or solution
  2. An intricate knot tied by Gordius, the king of Phrygia, and cut by the sword of Alexander the Great after he heard that whoever undid it would become ruler of Asia (synset 103452975)
    is a type of: knot - any of various fastenings formed by looping and tying a rope (or cord) upon itself or to another rope or to another object

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