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Volumn 39, Issue 5, 2000, Pages 353-391

Ordinal diagrams for recursively Mahlo universes

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EID: 0034392277     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001530050153     Document Type: Article
Times cited : (10)

References (27)
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    • Buchholz, W.: Normalfunktionen und konstruktive Systeme von Ordinalzahlen. In: Diller, J., Müller, G.H.(eds.) Proof Theory Symposion, Kiel 1974 (Lecture Notes in Mathematics, vol.500, pp.4-25). Berlin: Springer 1975
    • (1975) Proof Theory Symposion, Kiel 1974 Lecture Notes in Mathematics , vol.500 , pp. 4-25
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    • Neue fassung des widerspruchsfreiheitsbeweises für die reine zahlen theorie. Forschungen zur logik und zur grundlegung der exakter wissenschaften
    • Gentzen, G.: Neue Fassung des Widerspruchsfreiheitsbeweises für die reine Zahlen theorie. Forschungen zur Logik und zur Grundlegung der exakter Wissenschaften, Neue Folge 4,19-44 (1938)
    • (1938) Neue Folge , vol.4 , pp. 19-44
    • Gentzen, G.1
  • 16
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    • Zur beweistheorie der kripke-platek mengenlehre über den natürlichen zahlen
    • Jäger, G.: Zur Beweistheorie der Kripke-Platek Mengenlehre über den natürlichen Zahlen. Arch. math. Logik 22,121-139 (1982)
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    • Theories for admissible sets, a unifying approach to proof theory
    • Napoli: Bibliopolis
    • Jäger, G.: Theories for admissible sets, A unifying approach to proof theory. Studies in Proof Theory Lecture Notes 2. Napoli: Bibliopolis 1986
    • (1986) Studies in Proof Theory Lecture Notes , vol.2
    • Jäger, G.1
  • 19
    • 0002733569 scopus 로고
    • Ordinal notations based on a weakly Mahlo cardinal
    • Rathjen, M.: Ordinal notations based on a weakly Mahlo cardinal. Arch. Math. Logic 29,249-263 (1990)
    • (1990) Arch. Math. Logic , vol.29 , pp. 249-263
    • Rathjen, M.1
  • 20
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    • Proof-theoretic analysis of K P M
    • Rathjen, M.: Proof-theoretic analysis of K P M . ibid. 30,377-403 (1991)
    • (1991) Arch. Math. Logic , vol.30 , pp. 377-403
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    • Collapsing functions based on recursively large ordinals: A well-ordering proof for K P M
    • Rathjen, M.: Collapsing functions based on recursively large ordinals: A well-ordering proof for K P M . ibid. 33,181-224 (1994)
    • (1994) Arch. Math. Logic , vol.33 , pp. 181-224
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  • 22
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    • Inductive definitions and reflecting properties of admissible ordinals
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    • Richter, W.H., Aczel, P.: Inductive definitions and reflecting properties of admissible ordinals. In:Fenstad, J.E., Hinman, P.G. (eds.) Generalized Recursion Theory (Studies in Logic, vol.79, pp.301-381). Amaterdam: North-Holland 1974
    • (1974) Generalized Recursion Theory Studies in Logic , vol.79 , pp. 301-381
    • Richter, W.H.1    Aczel, P.2
  • 24
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    • Ein wohlordnungsbeweis für das ordinalzahlensystem T(J)
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  • 25
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