Working with nonstandard models
| Abstract | Most of the research in foundations of mathematics that I do in some way or another involves the use of nonstandard models. I will give a few examples, and indicate what is involved. | |||||||||
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Steven C. Leth (1988). Sequences in Countable Nonstandard Models of the Natural Numbers. Studia Logica 47 (3):243 - 263.
Menachem Magidor, Saharon Shelah & Jonathan Stavi (1983). On the Standard Part of Nonstandard Models of Set Theory. Journal of Symbolic Logic 48 (1):33-38.
Andrew Arana (2001). Solovay's Theorem Cannot Be Simplified. Annals of Pure and Applied Logic 112.
Mauro Di Nasso (2002). An Axiomatic Presentation of the Nonstandard Methods in Mathematics. Journal of Symbolic Logic 67 (1):315 - 325.
Peter Fletcher (1989). Nonstandard Set Theory. Journal of Symbolic Logic 54 (3):1000-1008.
J. M. Henle (2003). Second-Order Non-Nonstandard Analysis. Studia Logica 74 (3):399 - 426.
Chris Mortensen (1987). Inconsistent Nonstandard Arithmetic. Journal of Symbolic Logic 52 (2):512-518.
Stuart T. Smith (1987). Nonstandard Characterizations of Recursive Saturation and Resplendency. Journal of Symbolic Logic 52 (3):842-863.
Vladimir Kanovei & Michael Reeken (2000). Extending Standard Models of ZFC to Models of Nonstandard Set Theories. Studia Logica 64 (1):37-59.
Shizuo Kamo (1981). Nonstandard Natural Number Systems and Nonstandard Models. Journal of Symbolic Logic 46 (2):365-376.
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