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)
DOI 10.1080/01445340310001599588
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,078
External links

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

Introduction to Mathematical Logic.Alonzo Church - 1944 - London: Oxford University PRess.
Symbolic Logic.C. I. Lewis & C. H. Langford - 1934 - Erkenntnis 4 (1):65-66.
Philosophical and Mathematical Correspondence. [REVIEW]A. Reix - 1982 - Revue Philosophique de la France Et de l'Etranger 172 (1):64-64.

View all 24 references / Add more references

Citations of this work BETA

Alfred Tarski: Philosophy of Language and Logic.Douglas Patterson - 2012 - Basingstoke and London, UK: Palgrave-Macmillan.
What is Tarski's Common Concept of Consequence?Ignacio Jané - 2006 - Bulletin of Symbolic Logic 12 (1):1-42.

View all 8 citations / Add more citations

Similar books and articles

Was Tarski's Theory of Truth Motivated by Physicalism?Greg Frost-Arnold - 2004 - History and Philosophy of Logic 25 (4):265-280.
Logical Consequence: A Defense of Tarski.Greg Ray - 1996 - Journal of Philosophical Logic 25 (6):617 - 677.
Tarski's Definition and Truth-Makers.Ilkka Niiniluoto - 2004 - Annals of Pure and Applied Logic 126 (1-3):57-76.
Tarski's Physicalism.Richard L. Kirkham - 1993 - Erkenntnis 38 (3):289-302.
Some Current Problems in Metamathematics1.Alfred Tarski, Jan Tarski & Jan Woleński - 1995 - History and Philosophy of Logic 16 (2):159-168.
Tarski, Truth and Model Theory.Peter Milne - 1999 - Proceedings of the Aristotelian Society 99 (2):141–167.
Who Were the American Postulate Theorists?Michael Scanlan - 1991 - Journal of Symbolic Logic 56 (3):981-1002.


Added to PP index

Total views
33 ( #343,290 of 2,498,790 )

Recent downloads (6 months)
1 ( #421,542 of 2,498,790 )

How can I increase my downloads?


My notes