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Mathematics  2009 

On the formalist account of an arbitrary first-order theory

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Abstract:

This paper examines the metatheory of the formalist account of an arbitrary first-order theory. The paper considers whether the metatheory can be expressed (using Tarskian semantics) in a model of a first-order theory that, roughly speaking, contains a proper axiom (schema) corresponding to a set-theoretic axiom (schema) of subsets. The hypothesis is reduced to absurdity.

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