zbMATH — the first resource for mathematics

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

set theory
Full Text: DOI EuDML
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.