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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.
Admissible sets. --- Definability theory (Mathematical logic) --- Logic, Symbolic and mathematical --- Model theory --- Recursive functions --- Sets, Admissible --- Set theory
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Admissible sets --- Definability theory (Mathematical logic) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Sets, Admissible --- Logic, Symbolic and mathematical --- Model theory --- Recursive functions --- Set theory --- 510.22 --- #TCPW W1.0 --- #TCPW W1.2 --- #WWIS:ALTO --- 510.22 Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Logique mathématique --- Théorie des modèles --- Récursivité, Théorie de la --- Théorie des ensembles --- Mathematical logic --- Admissible sets. --- Definability theory (Mathematical logic).
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