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.
Coding Ockham's Razor, L. Allison, Springer

A Practical Introduction to Denotational Semantics, L. Allison, CUP

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© L. Allison   (or as otherwise indicated),
Faculty of Information Technology (Clayton), Monash University, Australia 3800 (6/'05 was School of Computer Science and Software Engineering, Fac. Info. Tech., Monash University,
was Department of Computer Science, Fac. Comp. & Info. Tech., '89 was Department of Computer Science, Fac. Sci., '68-'71 was Department of Information Science, Fac. Sci.)
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