An addition to Rosser's theorem

Journal of Symbolic Logic 61 (1):285-292 (1996)
For a primitive recursive consistent and strong enough theory T we construct an independent statement which has some clear metamathematical meaning
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DOI 10.2307/2275611
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Injecting Inconsistencies Into Models of Pa.Robert M. Solovay - 1989 - Annals of Pure and Applied Logic 44 (1-2):101-132.
Nonstandard Definability.Stuart T. Smith - 1989 - Annals of Pure and Applied Logic 42 (1):21-43.

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The Incompleteness Theorems After 70 Years.Henryk Kotlarski - 2004 - Annals of Pure and Applied Logic 126 (1-3):125-138.

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