Siberian School of Algebra and Logic
  • Published Year: 1996
  • Page count: 264
  • File Size: 9 MB
  • Language: English
  • Published by: Springer
  • Visited by: 58
  • Rating/Review: 4.5
  • ISBN: 0306110393; 9780306110399

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Siberian School of Algebra and Logic

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Unordered Algebra English
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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.

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