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On the strength of the interpretation method

Published online by Cambridge University Press:  12 March 2014

Yuri Gurevich
Affiliation:
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel

Abstract

In spite of the fact that true arithmetic reduces to the monadic second-order theory of the real line, Peano arithmetic cannot be interpreted in the monadic second-order theory of the real line.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1989

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References

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