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CIRCULARITY IN SOUNDNESS AND COMPLETENESS

Published online by Cambridge University Press:  13 May 2014

RICHARD KAYE
RICHARD KAYE*
Affiliation:
SCHOOL OF MATHEMATICS UNIVERSITY OF BIRMINGHAM BIRMINGHAM B15 2TT, UKE-mail:r.w.Kaye@bham.ac.uk
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Abstract

We raise an issue of circularity in the argument for the completeness of first-order logic. An analysis of the problem sheds light on the development of mathematics, and suggests other possible directions for foundational research.

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Articles
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Bulletin of Symbolic Logic , Volume 20 , Issue 1 , March 2014 , pp. 24 - 38
Copyright
Copyright © The Association for Symbolic Logic 2014 

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References

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