Completeness and Categoricity, Part II: Twentieth-Century Metalogic to Twenty-first-Century Semantics
Graduate studies at Western
History and Philosophy of Logic 23 (2):77-94 (2002)
|Abstract||This paper is the second in a two-part series in which we discuss several notions of completeness for systems of mathematical axioms, with special focus on their interrelations and historical origins in the development of the axiomatic method. We argue that, both from historical and logical points of view, higher-order logic is an appropriate framework for considering such notions, and we consider some open questions in higher-order axiomatics. In addition, we indicate how one can fruitfully extend the usual set-theoretic semantics so as to shed new light on the relevant strengths and limits of higher-order logic|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
S. Awodey & C. Butz (2000). Topological Completeness for Higher-Order Logic. Journal of Symbolic Logic 65 (3):1168-1182.
Steve Awodey & Erich H. Reck, Completeness and Categoricity, Part I: 19th Century Axiomatics to 20th Century Metalogic.
Steve Awodey & Erich H. Reck, Completeness and Categoricty, Part II: 20th Century Metalogic to 21st Century Semantics.
Stephen Read (1997). Completeness and Categoricity: Frege, Gödel and Model Theory. History and Philosophy of Logic 18 (2):79-93.
Steve Awodey & Erich H. Reck, Completeness and Categoricity: 19th Century Axiomatics to 21st Century Senatics.
Arnold Nat (1979). First-Order Indefinite and Uniform Neighbourhood Semantics. Studia Logica 38 (3):277 - 296.
Ross T. Brady (1989). A Content Semantics for Quantified Relevant Logics. II. Studia Logica 48 (2):243 - 257.
Steve Awodey & Erich H. Reck (2002). Completeness and Categoricity. Part I: Nineteenth-Century Axiomatics to Twentieth-Century Metalogic. History and Philosophy of Logic 23 (1):1-30.
Added to index2010-08-10
Total downloads17 ( #78,069 of 722,947 )
Recent downloads (6 months)1 ( #61,087 of 722,947 )
How can I increase my downloads?