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A contribution to nonstandard teratology

Part of the Lecture Notes in Mathematics book series (LNM,volume 1103)

Keywords

  • Initial Segment
  • Atomic Formula
  • Comprehension Scheme
  • Axiom Scheme
  • Peano Arithmetic

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References

  1. Apt, K.R., Marek, W.: Second order arithmetic and related topics, Annals of Math. Logic 6(1974), 177–239.

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  2. Kirby, L.A.S., McAloon, K., Murawski, R.: Indicators, recursive saturation and expandability, Fund. Math. 114(1981), 127–139.

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  3. Kotlarski, H.: On Skolem ultrapowers and their nonstandard variant, Zeitschrift f. math. Logik und Grundlagen d. Math. 26 (1980), 227–236.

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  4. Krajewski, S.: Nonstandard satisfaction classes, in: Set Theory and Hierarchy Theory, Proc. Bierutowice Conf. 1975, Springer Verlag, 1976, LNM 537, 121–144.

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  5. Mostowski, A.: A contribution to teratology, UzбраннЪе ЬоиросЪ аЪебрЪ u ιоμкu, Наука, Ноъосuбuсск 1973, 184–196.

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  6. Murawski, R.: On expandability of models of Peano arithmetic I, II, III, Studia Logica 35(1976), 409–419; 35(1976), 421–431; 36(1977), 181–188.

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  7. Murawski, R.: Models of Peano arithmetic expandable to models of fragments of second order arithmetic (in Polish), Ph.D.Thesis,Warszawa 1978.

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  8. Murawski, R.: Some remarks on the structure of expansions, Zeitschrift f. math. Logik und Grundlagen d. Math. 26(1980), 537–546.

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  9. Murawski, R.: Trace expansions of initial segments, Zeitschrift f. math. Logik und Grundlagen d. Math. 30(1984), to appear.

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© 1984 Springer-Verlag

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Murawski, R. (1984). A contribution to nonstandard teratology. In: Müller, G.H., Richter, M.M. (eds) Models and Sets. Lecture Notes in Mathematics, vol 1103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099395

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  • DOI: https://doi.org/10.1007/BFb0099395

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13900-3

  • Online ISBN: 978-3-540-39115-9

  • eBook Packages: Springer Book Archive