Completeness and Categoricity, Part II: Twentieth-Century Metalogic to Twenty-first-Century Semantics
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 23 (2):77-94 (2002)
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Georg Schiemer (2013). Carnap's Early Semantics. Erkenntnis 78 (3):487-522.
John Symons (2008). Book Reviews. [REVIEW] Studia Logica 89 (2):285-289.
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 downloads24 ( #71,597 of 1,100,975 )
Recent downloads (6 months)6 ( #44,199 of 1,100,975 )
How can I increase my downloads?