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An extension of Schütte’s Klammersymbole. (English) Zbl 0162.01901

Keywords:
set theory
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References:
[1] Bachmann, H.: Transfinite Zahlen. Berlin-Göttingen-Heidelberg: Springer 1955. · Zbl 0065.03506
[2] ?? Die Normalfunktionen und das Problem der ausgezeichneten Folgen von Ordnungszahlen. Vierteljahrschr. Naturf. Ges. Zürich95, 115-147 (1950).
[3] Howard, W. A., andG. Krlisel: Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis. J. Symb. Logic, to appear. · Zbl 0156.00804
[4] Levitz, H.: On the ordinal notation of Schütte and the ordinal diagrams of Takeuti. Ph. D. thesis, The Pennsylvania State University, 1965.
[5] Schütte, K.: Kennzeichnung von Ordnungszahlen durch rekursive erklärte Funktionen. Math. Ann.127, 15-32 (1954). · Zbl 0055.04902 · doi:10.1007/BF01361109
[6] ?? Lecture notes in mathematical logic, Vol. 2. Penna. State University, University Park, Pa., 1963.
[7] Veblen, O.: Continuous increasing functions of finite and transfinite ordinals. Trans. Am. Math. Soc.9, 280-292 (1908). · JFM 39.0102.01 · doi:10.1090/S0002-9947-1908-1500814-9
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