Selected Logic Papers
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3267-2 (ISBN)
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The author selects 23 of his papers in mathematical logic that pursue definability via priority, forcing, compactness and fine structure applied to classical recursion, hyperarithmetic sets, recursion in objects of finite type, measure, models and E-recursion. His general introduction provides a chronology both personal and technical.
Recursive enumerability and the jump operator; on the degrees less than 0'; a simple set which is not effectively simple; the recursively enumerable degrees are dense; metarecursive sets (with G. Kreisel); Post's problem, admissable ordinals and regularity; on a theorem of Lachlan and Martin; a minimal hyperdegree (with R.O. Gandy); measure-theoretic uniformity in recursion theory and set theory; forcing with perfect closed sets; recursion in objects of finite type; the a-finite injury methods (with S.G. Simpson); remarks against foundational activity; countable admissible ordinals and hyperdegrees; the 1-section of a type 'n' object; the k-section of a type 'n' object; Post's problem, absoluteness and recursion in finite types; effective bonds on Morley rank; on the number of countable models; Post's problem in E-recursion; the limits of E-recursive enumerability; effective versus proper forcing.
| Reihe/Serie | World Scientific Series In 20th Century Mathematics ; 6 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 981-02-3267-5 / 9810232675 |
| ISBN-13 | 978-981-02-3267-2 / 9789810232672 |
| Zustand | Neuware |
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