David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 24 (4):307-325 (2003)
This article outlines the work of a group of US mathematicians called the American Postulate Theorists and their influence on Tarski's work in the 1930s that was to be foundational for model theory. The American Postulate Theorists were influenced by the European foundational work of the period around 1900, such as that of Peano and Hilbert. In the period roughly from 1900???1940, they developed an indigenous American approach to foundational investigations. This made use of interpretations of precisely formulated axiomatic theories to prove such metatheoretic properties as independence, consistency, categoricity and, in some cases, completeness of axiom sets. This approach to foundations was in many respects similar to that later taken by Tarski, who frequently cites the work of American Postulate Theorists. Their work served as paradigm examples of the theories and concepts investigated in model theory. The article also examines the possibility of a more specific impetus to Tarski's model theoretic investigation, arising from his having studied in 1927???1929 a paper by C. H. Langford proving completeness for various axiom sets for linear orders. This used the method of elimination of quantifiers. The article concludes with an examination of one example of Langford's methods to indicate how their correct formulation seems to call for model-theoretic concepts
|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
John Corcoran & José Miguel Sagüillo (2011). The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper. History and Philosophy of Logic 32 (4):359 - 374.
Ignacio Jané (2006). What is Tarski's Common Concept of Consequence? Bulletin of Symbolic Logic 12 (1):1-42.
Jose Saguillo (2009). Methodological Practice and Complementary Concepts of Logical Consequence: Tarski's Model-Theoretic Consequence and Corcoran's Information-Theoretic Consequence. History and Philosophy of Logic 30 (1):21-48.
Iris Loeb (forthcoming). The Role of Universal Language in the Early Work of Carnap and Tarski. Synthese:1-17.
Similar books and articles
Greg Frost-Arnold (2004). Was Tarski's Theory of Truth Motivated by Physicalism? History and Philosophy of Logic 25 (4):265-280.
Josep Pla I. Carrera (1989). Alfred Tarski I la Teoria de Conjunts. Theoria 4 (2):343-417.
Peter Milne (1999). Tarski, Truth and Model Theory. Proceedings of the Aristotelian Society 99 (2):141–167.
Alfred Tarski, Jan Tarski & Jan Woleński (1995). Some Current Problems in Metamathematics1. History and Philosophy of Logic 16 (2):159-168.
Richard L. Kirkham (1993). Tarski's Physicalism. Erkenntnis 38 (3):289-302.
Ilkka Niiniluoto (2004). Tarski's Definition and Truth-Makers. Annals of Pure and Applied Logic 126 (1-3):57-76.
Greg Ray (1996). Logical Consequence: A Defense of Tarski. Journal of Philosophical Logic 25 (6):617 - 677.
J. Scanlan Michael (1988). Beltrami's Model and the Independence of the Parallel Postulate. History and Philosophy of Logic 9 (1):13-34.
Rafał Gruszczyński & Andrzej Pietruszczak (2008). Full Development of Tarski's Geometry of Solids. Bulletin of Symbolic Logic 14 (4):481-540.
Michael Scanlan (1991). Who Were the American Postulate Theorists? Journal of Symbolic Logic 56 (3):981-1002.
Added to index2010-08-10
Total downloads14 ( #264,769 of 1,911,771 )
Recent downloads (6 months)4 ( #181,474 of 1,911,771 )
How can I increase my downloads?