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Continuity and elementary logic1

Published online by Cambridge University Press:  12 March 2014

Leslie H. Tharp
Leslie H. Tharp*
Affiliation:
The Rockefeller University, New York, New York 10021
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Extract

The purpose of this paper is to investigate continuity properties arising in elementary (i.e., first-order) logic in the hope of illuminating the special status of this logic. The continuity properties turn out to be closely related to conditions which characterize elementary logic uniquely, and lead to various further questions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 39 , Issue 4 , December 1974 , pp. 700 - 716
Copyright
Copyright © Association for Symbolic Logic 1974

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Footnotes

1

The notes [7] and [8], and the paper [9], contain announcements of some of the results and related material. I wish to thank Per Lindström, D. A. Martin and Scott Weinstein for many helpful suggestions; also, several clarifications of an earlier draft were stimulated by William Craig's criticism. The final draft owes much to the suggestions of the referee.

References

REFERENCES

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