I am reading "Notes on Conceptualisms" by Vanessa Place and Robert Fitterman. On page 15, the authors mention that "allegory implicates Godel's First Incompleteness Theorem: if it is consistent, it is incomplete; if complete, inconsistent (15)." They reference the fact that "writing is necessarily inconsistent, containing elaborations, recursions, sub-metaphors, fictive conceits, projections, and guisngs that combine and recombine both to create the allegorical whole, and to discursively threaten this wholeness." In terms of allegory, they
Wikipedia's entry on this says that "Gödel's theorem shows that, in theories that include a small portion of number theory, a complete and consistent finite list of axioms can never be created, nor even an infinite list that can be enumerated by a computer program. Each time a new statement is added as an axiom, there are other true statements that still cannot be proved, even with the new axiom. If an axiom is ever added that makes the system complete, it does so at the cost of making the system inconsistent."
8.9.11
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