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A combinatorial characterization of inaccessible cardinals

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Part of the Lecture Notes in Mathematics book series (LNM,volume 669)

Keywords

  • Initial Segment
  • Element Subset
  • Reflection Principle
  • Partition Relation
  • Limit Cardinal

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Bibliography

  • D F. Drake, Set Theory, An Introduction to Large Cardinals, North-Holland-Publ. Comp. 1974

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  • H,P L. Harrington and J. Paris, A mathematical incompleteness in Peano arithmetic, in Handbook of Mathematical Logic, J. Barwise editor, North-Holland-Publ. Comp. 1977

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  • K L. Kirby, Initial segments of models of arithmetic, Thesis, Manchester, 1977

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  • Mc K. Mc Aloon, Iterating the "new" true unprovable formulas, unpublished manuscript

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  • Mc,bis K. Mc Aloon, Kirby-Paris methods and set theory, in preparation

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  • M W. Mitchell, Ramsey cardinals and constructibility, to appear

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  • P J. Paris, Independence results for Peano arithmetic using inner models, to appear

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  • Q L. Kirby and J. Paris, Initial segments of models of arithmetic, p. 211–226, in Hierarchy Theory and Set Theory, V, 1976, Lecture Notes in Mathematics No. 619, Springer Verlag, Berlin, Heidelberg, New York

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© 1978 Springer-Verlag

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Mc Aloon, K. (1978). A combinatorial characterization of inaccessible cardinals. In: Müller, G.H., Scott, D.S. (eds) Higher Set Theory. Lecture Notes in Mathematics, vol 669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103110

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  • DOI: https://doi.org/10.1007/BFb0103110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08926-1

  • Online ISBN: 978-3-540-35749-0

  • eBook Packages: Springer Book Archive