Self Reference

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A sentence, S, can either describe itself, or not. If it does not, we could replace it with a sentence that does describe S, but this might falsify the new description. Iterating, one of three things could happen:

  1. convergence: a sentence eventually describes itself, stop.
  2. cycling: sn describes sn-1, ..., describes s1, describes sn, for n>1.
  3. divergence: neither of the above.
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