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Volumn 16, Issue 1, 1996, Pages 27-57

Ordinals II: Some applications and a functorial approach

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EID: 21344454969     PISSN: 10122443     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02127793     Document Type: Article
Times cited : (1)

References (17)
  • 1
    • 1342327260 scopus 로고
    • Die Normalfunktionen und Das Problem der augezeichneten Folgen von Ordnungszahlen
    • H. Bachmann, Die Normalfunktionen und Das Problem der augezeichneten Folgen von Ordnungszahlen, Vierteljahrschr. Naturf. Ges. Zurich 95(1950)5-37.
    • (1950) Vierteljahrschr. Naturf. Ges. Zurich , vol.95 , pp. 5-37
    • Bachmann, H.1
  • 2
    • 0010655942 scopus 로고
    • Systems of predicative analysis II: Representation of ordinals
    • S. Feferman, Systems of predicative analysis II: Representation of ordinals, J. Symb. Logic 33(1968)193-220.
    • (1968) J. Symb. Logic , vol.33 , pp. 193-220
    • Feferman, S.1
  • 3
    • 26444621023 scopus 로고
    • Formal theories for transfinite iterations of generalized inductive definitions and some subsystems of analysis
    • NY, eds. A. Kino, J. Myhill and E. Vesley
    • S. Feferman, Formal theories for transfinite iterations of generalized inductive definitions and some subsystems of analysis, Proc. Summer Conf. at Buffalo, NY, eds. A. Kino, J. Myhill and E. Vesley (1970).
    • (1970) Proc. Summer Conf. at Buffalo
    • Feferman, S.1
  • 7
  • 8
    • 26444500678 scopus 로고
    • Proof theory and logical complexity
    • North-Holland, Naples
    • J.Y. Girard, Proof theory and logical complexity, Bibliopolis Napoli (North-Holland, Naples, 1982).
    • (1982) Bibliopolis Napoli
    • Girard, J.Y.1
  • 9
    • 0001635231 scopus 로고
    • Functors and ordinal notations. I: A functorial construction of the Veblen hierarchy
    • J.Y. Girard and J. Vauzeilles, Functors and ordinal notations. I: A functorial construction of the Veblen hierarchy, J. Symb. Logic 49(1984)713-729.
    • (1984) J. Symb. Logic , vol.49 , pp. 713-729
    • Girard, J.Y.1    Vauzeilles, J.2
  • 10
    • 26444576129 scopus 로고
    • Functors and ordinal notations. II: A functorial construction of the Bachmann hierarchy
    • J.Y. Girard and J. Vauzeilles, Functors and ordinal notations. II: A functorial construction of the Bachmann hierarchy, J. Symb. Logic 49(1984)1079-1114.
    • (1984) J. Symb. Logic , vol.49 , pp. 1079-1114
    • Girard, J.Y.1    Vauzeilles, J.2
  • 11
    • 84916498981 scopus 로고
    • Well-quasi-ordering, the tree theorem, and Vazsonyi's conjecture
    • J.B. Kruskal, Well-quasi-ordering, the tree theorem, and Vazsonyi's conjecture, Trans. AMS 95 (1960)210-225.
    • (1960) Trans. AMS , vol.95 , pp. 210-225
    • Kruskal, J.B.1
  • 14
    • 85012669373 scopus 로고
    • The varieties of arboreal experience
    • eds. L.A. Harrington, M.D. Morley and A. Scedrov North-Holland, Amsterdam
    • C. Smorynski, The varieties of arboreal experience, in: Harvey Friedman's Research on she Foundations of Mathematics, eds. L.A. Harrington, M.D. Morley and A. Scedrov (North-Holland, Amsterdam, 1985) pp. 381-397.
    • (1985) Harvey Friedman's Research on She Foundations of Mathematics , pp. 381-397
    • Smorynski, C.1
  • 15
    • 77956970888 scopus 로고
    • Functors and ordinal notations. III: Dilators and gardens
    • Marseille, 1981, ed. Stern North-Holland
    • J. Vauzeilles, Functors and ordinal notations. III: Dilators and gardens, Proc. Herbrand Symp., Marseille, 1981, ed. Stern (North-Holland, 1982) pp. 333-364.
    • (1982) Proc. Herbrand Symp. , pp. 333-364
    • Vauzeilles, J.1
  • 16
    • 0009220313 scopus 로고
    • Functors and ordinal notations. IV: The Howard ordinal and the functor a
    • J. Vauzeilles, Functors and ordinal notations. IV: The Howard ordinal and the functor A, J. Symb. Logic 50(1985)331-338.
    • (1985) J. Symb. Logic , vol.50 , pp. 331-338
    • Vauzeilles, J.1
  • 17
    • 0001475927 scopus 로고
    • Continuous increasing functions of finite and transfinite ordinals
    • O. Veblen, Continuous increasing functions of finite and transfinite ordinals, Trans. Amer. Math. Soc. 9(1908)280-292.
    • (1908) Trans. Amer. Math. Soc. , vol.9 , pp. 280-292
    • Veblen, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.