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The diagonal lemma as the formalized Grelling paradox - MaRDI portal

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The diagonal lemma as the formalized Grelling paradox

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Publication:6477382

arXivmath/0606425MaRDI QIDQ6477382

Author name not available (Why is that?)

Publication date: 17 June 2006

Abstract: Since the diagonal lemma plays a key role in the proof of the main limitative theorems of logic, its proof could shed light on the very essence of these fundamental theorems. Yet the lemma is often characterized as one of those important logical results that lack an insightful explanatory proof. By making explicit that the well-known proof of the lemma is just a straightforward translation of the Grelling paradox into first-order arithmetic, the proof can be made completely transparent.





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