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Admissible sets --- Definability theory (Mathematical logic)

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Definition (Philosophy) --- Knowledge, Theory of --- Logic --- Definability --- Definition (Logic) --- Undefinability --- Philosophy --- Semantics (Philosophy)

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Admissible sets --- Definability theory (Mathematical logic) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory

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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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Interdisciplinary perspectives on the concepts of indeterminacy and indeterminability and the distinctions between the two.Formal thinking about certainty/uncertainty gained greater focus in scientific domains with the advent of particle physics and quantum mechanics. Concern with the exact predictability of events under guidance from scientific determinism led to speculation, then acknowledgement of quantum indeterminacy. But distinctions were made between what is physically indeterminate out there and what is indeterminable by human observation or in human action--over here, on the inside, right now. The implications of these insights into indeterminacy and indeterminabilities for practical and theoretical knowledge span physics, philosophy, ontology, causality, and the philosophy of mind. In this book, contributors from a range of disciplines consider the concept of indeterminacy and a few varieties of indeterminability, with attention to the distinctions between the two phenomena, appropriate approaches for examining both, and the differences vis-a-vis uncertainty, vagueness, and ambiguity.

Philosophy of nature --- Definition (Philosophy). --- Uncertainty. --- Definition (Philosophy) --- Uncertainty --- Reasoning --- Definability --- Definition (Logic) --- Undefinability --- Philosophy --- Semantics (Philosophy) --- SOCIAL SCIENCES/Political Science/Political & Social Theory