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Grelling's revenge

Analysis 64 (3):251-256 (2004)

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  1. Syntactical Constraints on Definitions.Dale Jacquette - 2013 - Metaphilosophy 44 (1-2):145-156.
    This essay considers arguments for and against syntactical constraints on the proper formalization of definitions, originally owing to Alfred Tarski. It discusses and refutes an application of the constraints generalized to include a prohibition against not only object-place but also predicate-place variables in higher-order logic in a criticism of a recent effort to define the concept of heterologicality in a strengthened derivation of Grelling's paradox within type theory requirements. If the objections were correct, they would offer a more general moral (...)
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  • Jacquette on Grelling’s Paradox.Jeffrey Ketland - 2005 - Analysis 65 (3):258–260.
    This discusses a mistake (concerning what a definition is) in “Grelling’s revenge”, Analysis 64, 251-6 (2004), by Dale Jacquette, who claims that the simple theory of types is inconsistent.
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