Dilemmas of Ambiguity and Vagueness

Abstract

"All the limitative Theorems of metamathematics and the theory of computation suggest that once the ability to represent your own structure has reached a certain critical point, that is the kiss of death: it guarantees that you can never represent yourself totally. Godel's Incompleteness Theorem, Church's Undecidability Theorem, Turing's Halting Problem, Turski's Truth Theorem -- all have the flavour of some ancient fairy tale which warns you that `To seek self-knowledge is to embark on a journey which...will always be incomplete, cannot be charted on a map, will never halt, cannot be described. " - Douglas R. Hofstadter..

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Leon Felkins
University of Memphis

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