In this book, Yurii L. Ershov posits the view that computability-in the broadest sense-can be regarded as the Sigma-definability in the suitable sets. He presents a new approach to providing the Gödel incompleteness theorem based on systematic use of the formulas with the restricted quantifiers. The volume also includes a novel exposition on the foundations of the theory of admissible sets with urelements, using the Gandy theorem throughout the theory''s development. Other topics discussed are forcing, Sigma-definability, dynamic logic, and Sigma-predicates of finite types.

Hersteller:
Springer Verlag GmbH
juergen.hartmann@springer.com
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Sigmadefinability and the Gödel Incompleteness Theorem. Computability on Admissible Sets. Selected Topics. Appendix. Index.