Peano arithmetic may not be interpretable in the monadic theory of linear orders

Journal of Symbolic Logic 62 (3):848-872 (1997)
  Copy   BIBTEX

Abstract

Gurevich and Shelah have shown that Peano Arithmetic cannot be interpreted in the monadic second-order theory of short chains (hence, in the monadic second-order theory of the real line). We will show here that it is consistent that the monadic second-order theory of no chain interprets Peano Arithmetic

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 76,168

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Quantum Mathematics.J. Michael Dunn - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:512 - 531.
Modest theory of short chains. II.Yuri Gurevich & Saharon Shelah - 1979 - Journal of Symbolic Logic 44 (4):491-502.
On interpretations of bounded arithmetic and bounded set theory.Richard Pettigrew - 2009 - Notre Dame Journal of Formal Logic 50 (2):141-152.
Model-theoretic properties characterizing peano arithmetic.Richard Kaye - 1991 - Journal of Symbolic Logic 56 (3):949-963.
On the strength of the interpretation method.Yuri Gurevich & Saharon Shelah - 1989 - Journal of Symbolic Logic 54 (2):305-323.

Analytics

Added to PP
2009-01-28

Downloads
42 (#279,985)

6 months
1 (#448,551)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Second-order quantifiers and the complexity of theories.J. T. Baldwin & S. Shelah - 1985 - Notre Dame Journal of Formal Logic 26 (3):229-303.
Monadic theory of order and topology in ZFC.Yuri Gurevich & Saharon Shelah - 1982 - Annals of Mathematical Logic 23 (2-3):179-198.

Add more references