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Proof theory for theories of ordinals. II: \(\Pi_{3}\)-reflection - MaRDI portal

Proof theory for theories of ordinals. II: \(\Pi_{3}\)-reflection (Q1887655)

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scientific article; zbMATH DE number 2117325
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Proof theory for theories of ordinals. II: \(\Pi_{3}\)-reflection
scientific article; zbMATH DE number 2117325

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    Proof theory for theories of ordinals. II: \(\Pi_{3}\)-reflection (English)
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    22 November 2004
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    The author extends his work in Part I [Ann. Pure Appl. Logic 122, 1--85 (2003; Zbl 1032.03049)] from the Mahlo case to \(\Pi_3\)-reflection. The analysis is given by use of ordinal diagrams defined by the author in J. Symb. Log. 65, 1375--1394 (2000; Zbl 0979.03043)].
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    Reflecting ordinals
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    Ordinal analysis
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    Proof theory
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    Proof-theoretic ordinals
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