Machiavelli wrote:

Anyway, if self-reference is not the point, then what is? It seems
like the only thing that could result in a turtle would be a single
clause within a rule that contradicts itself.

Which has happened.  Here's a rundown from my Hall of Fame list:

  * CFJ 3087 (self-contradictory rule)
  * CFJ 2878 (self-reference)
  * CFJ 2650 (self-contradictory rule)
  * CFJs 1980, 1982 (contract with infinite loop)
  * CFJs 1883, 1884 (yes/no questions rather than true/false statements,
      before the rules were patched to equate them "the answer to
      <question> is yes")
  * CFJ 1787 (self-reference)
  * CFJs 1594, 1596 (self-contradictory judgements, one of which was
      later interpreted as incorrect instead)
  * G., cards, June 2005 (playing X to draw Y, then playing Y to
      retroactively cancel playing X)

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