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The Theory of $\kappa$ -like Models of Arithmetic
Notre Dame Journal of Formal Logic 36 (4):547-559 (1995)
Abstract
A model is said to be -like if but for all , . In this paper, we shall study sentences true in -like models of arithmetic, especially in the cases when is singular. In particular, we identify axiom schemes true in such models which are particularly `natural' from a combinatorial or model-theoretic point of view and investigate the properties of models of these schemesLinks
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Citations of this work
On the Strength of Ramsey's Theorem.David Seetapun & Theodore A. Slaman - 1995 - Notre Dame Journal of Formal Logic 36 (4):570-582.
Random reals, the rainbow Ramsey theorem, and arithmetic conservation.Chris J. Conidis & Theodore A. Slaman - 2013 - Journal of Symbolic Logic 78 (1):195-206.
References found in this work
Initial Segments of Models of Peano's Axioms.L. A. S. Kirby, J. B. Paris, A. Lachlan, M. Srebrny & A. Zarach - 1983 - Journal of Symbolic Logic 48 (2):482-483.
Models with Orderings.H. J. Keisler, B. van Rootselaar & J. F. Staal - 1974 - Journal of Symbolic Logic 39 (2):334-335.
On cofinal extensions of models of fragments of arithmetic.Richard Kaye - 1991 - Notre Dame Journal of Formal Logic 32 (3):399-408.
Model-theoretic properties characterizing peano arithmetic.Richard Kaye - 1991 - Journal of Symbolic Logic 56 (3):949-963.
Model-theoretic properties characterizing Peano arithmetic.Richard Kaye - 1991 - Journal of Symbolic Logic 56 (3):949-963.
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